Curriculum Vitae

Andrea L Bertozzi

Duke University, Box 90320
Durham, NC 27708-0320
USA 		(310) 825-4340 (office)
(email)
Personal

Born 1965, Boston, MA
US Citizen

Education

Ph.D. in Mathematics, Princeton Univ., 1991
M.A. in Mathematics, Princeton Univ., 1988
A.B. in Mathematics, Princeton Univ., 1987

Areas of Research

Nonlinear Partial Differential Equations, Applied Mathematics, Thin films, Image Processing, Swarming

Areas of Experience

Nonlinear Partial Differential Equations,
Thin Films and Moving Contact Lines,
Fluid Dynamics,
Image Processing,
Swarming dynamics

Awards, Honors, and Distinctions

ONR Graduate Fellowship 1987-91
Bell Labs GRPW Grant 1987
National Science Foundation Postdoctoral Fellowship 1991-4
Sloan Research Fellowship 1995
Maria Geoppert-Mayer Distinguished Scholar-Argonne National Lab. 1995-6
ONR Young Investigator Award 1996
Presidential Early Career Award for Scientists and Engineers 1996

Major Grant Support

  • ``Collaborative Research - ITR - High Order Partial Differential Equations: Theory, Computational Tools, and Applications in Image Processing, Computer Graphics, Biology, and Fluids,''
    NSF grant ACI-0321917     collaborative grant
    with G. Sapiro, S. Osher, A. Hosoi, and R. Fedkiw
  • ``Microfluidic Systems: Coating Flows and Image Analysis,'' ONR expansion of grant N000140110290, approximately $434,000, 11/02-10/05
  • ``Modelling, design, and control of distributed mobile sensors,'' ONR grant N000140310073, in collaboration with Ira Schwartz at the Naval Research Lab, $332,350 (Duke portion), 10/02-9/05
  • ``Swarming in two and three dimensions,'' ARO grant DAAD19-02-1-0055 4/01/02-12/31/04, $229,389
  • ``Transport and Diffusion in Surfactant Driven Thin Films and Higher Order Methods for Image Processing,'' ONR grant N000140110290, $182,902, 6/01-5/04
  • ``Collaborative proposal: Focused Research Group on Fundamental Problems in the Dynamics of Thin Viscous Films and Fluid Interfaces'' (PI) with T. P. Witelski, and R. Behringer, NSF DMS-0074049, $781,988, 8/31/2000-7/31/2003.
  • ``Duke University Program for Vertically Integrated, Interdisciplinary Reseasrch'' (PI) with J. Bookman, D. Kraines, J. T. Beale, and W. K. Allard, NSF DMS-9983320, $2,421,444, 7/1/2000-6/30/2005.
  • Duke Center for Instructional Technology Grant, $5,000, Spring 2000, for development of computational component of Math 232, PDE I
  • ``Project ADVANCE: Developing A Resilient Cohort of Women in Quantitative
    Sciences'' (co-PI) with R. Thompson (PI), NSF HRD-9979478, $99,924, 1/1/2000-6/31/2001.
  • ONR YIP/PECASE Award, grant number N00014-96-1-0656 ``Interface motion and lubrication-type equations'', $526,066, 6/96-5/01
  • ONR Grant 1995-6, $50,000.
  • Sloan Research Fellowship 1995-9, $30,000.
  • ``Hydrodynamic Interface Motion'', NSF DMS-9409484, $18,000, 6/1/94-12/31/95.
  • Postdoctoral Research Fellowship, NSF DMS-9107916, $75,000, 7/1/91-6/30/94
    • Professional Service

    University Committee
    Steering committee, Center for Nonlinear and Complex Systems, 2001-03  
    co-PI and co-director, Duke ADVANCE Program for first year women in the quantitative sciences, Duke University, 1999-2001  
    Dept Committee
    Director, Focussed Research Group on Thin Films, 2000-03  
    Director, Duke VIGRE Program, 2000-02  
    Applied Math Search Committee, 2001-02  
    Undergraduate Major Advisor (eight students fall 1998, spring 99, fall 99), 1998-99  
    Papers Refereed
    Papers refereed 2004, April 2004  
    NSF Reviews And Panels
    Proposal Review, NSF, applied math, 7 November 2003  
    Petroleum Research Fund (American Chemical Society) Proposal Review, 26 August 2003  
    Math Community Services
    SIAM Review, Editorial Board, 1 November 2002  
    Interfaces and Free Boundaries, Editorial Board, 1 September 2002  
    primary organizer, IPAM workshop ``Microfluidics in the 21st Century'', Univ. of California Los Angeles, November 2002  
    co-organizer (with M. Shearer), Three part minisymposium on thin films and fluid interfaces, SIAM 50 Anniversary Meeting, Philadelphia, PA, July 2002  
    co-organizer (with L. Vese), 4 part Minisymposium on PDE in image processing, SIAM first conf. on Imaging Science, Boston, MA, March 2002  
    Other
    Faculty Representative for Duke, Science Coalition (US Congress, Washington, DC), September 1999  
    organizer, Applied Math recruiting poster, July 1998  
    Selected Recent Invited Talks

    4th Southern California Applied Mathematics Symposium, Claremont Colleges, April 24, 2004  
    AMS Sectional Meeting, Special Session on PDEs, Igor Kukavica and Qi Zhang organizers, USC, Los Angeles, CA, 3 April 2004  
    Cooperative Control Workshop, Block Island, RI, 17 June 2003  
    International Conference on Nonlinear Evolution Equations and Applications, Plenary Talk, Northwestern University, 13 June 2003  
    ONR PIs meeting on Image Processing, University of Minnesota Digital Technology Center, 9 May 2003  
    Mathematics Colloquium, Georgia Tech, 27 March 2003  
    Biomathematics Seminar, Vanderbilt University, 26 March 2003  
    Applied Mathematics Colloquium, Princeton University, 10 March 2003  
    Applied Mathematics Colloquium, Brown University Dvision of Applied Mathematics, 23 January 2003  
    Workshop on image analysis and understanding data from scientific experiments, invited talk on "Fourth order PDEs in image processing" and short course on "Navier-Stokes, fluid dynamics, and image and video inpainting", Los Alamos National Laboratory, 2 December 2002  
    Mathematics Colloquium, Univ. of California Santa Barbara, 22 November 2002  
    Mechanical Engineering Colloquium, Univ. of California Los Angeles, 7 November 2002  
    Applied Mathematics Colloquium, University of Arizona, Tucson, 1 November 2002  
    MPS Distinguished Lecture, National Science Foundation, Washington DC, 21 October 2002  
    Mechanical Engineering Seminar, University of California Santa Barbara, 7 October 2002  
    PDE seminar, Brown University, 27 September 2002  
    Applied Mathematics Colloquium, Brown University, 26 September 2002  
    Mechanical Engineering Hatsopoulos Microfluids Laboratory, Massachusetts Institute of Technology, 24 September 2002  
    Invited topical lecture, SIAM 50th Anniversary Meeting, Philadelphia, PA, 8 July 2002  
    Mechanical Engineering Colloquium, Univ. of California, Berkeley, 25 April 2002  
    Center for Interdisciplinary Research in Fluid Physics (CIRF) Seminar, University of California at Santa Barbara, 13 March 2002  
    Applied Mathematics Colloquium, Univ. of California Los Angeles, 12 March 2002  
    Vision, Information, Statistical Signal Theories and Applications Group Seminar, Department of Electrical and Computer Engineering, North Carolina State University, 22 February 2002  
    Computational Science and Engineering, CSE, Colloquium 2002, US Naval Academy, Annapolis, MD, 28 January 2002  
    AMS Special Session on Partial Differential Equations and Their Applications, AMS Annual Meeting, San Diego, CA, 8 January 2002  
    SIAM Minisymposium on Mathematical Models for Image Analysis and Computer Vision, AMS Annual Meeting, San Diego, CA, 7 January 2002  
    Southeast Conference on Applied Mathematics, North Carolina State University, 9 November 2001  
    Keynote Address, Sonia Kovalevsky High School Math Day, New College, Sarasota, FL, 27 October 2001  
    CAMP/Nonlinear PDE's Seminar, Univ. of Chicago, 16 October 2001  
    Applied Mathematics Colloquium, Northwestern University, 15 October 2001  
    Applied Mathematics Seminar, Indiana University, Bloomington, Indiana, 12 October 2001  
    Differential Equations Seminar, North Carolina State University, 4 October 2001  
    NATO Advance Study Institute, Univ. of Montreal, Quebec CANADA, 13 July 2001  
    Séminaire Analyse Numérique, Université de Paris-Sud, 10 May 2001  
    two plenary lectures: "Dynamics of phase boundaries and nonclassical waves", Kirchzarten(Schwarzwald), Germany, 7 May 2001  
    Applied Mathematics Seminar, Technical University, Munich, Germany, 4 May 2001  
    Dynamical Systems Seminar, Boston University, 12 March 2001  
    Noetherian Ring Seminar, Princeton University, 9 March 2001  
    Applied Math Lab Seminar, Courant Institute NYU, 8 March 2001  
    Applied Mathematics Seminar, Univ. of California, Berkeley, 23 January 2001  
    Keynote Speaker: Mt. Baldy Conference on Applied Mathematics, Harvey Mudd College, 28 October 2000  
    Mathematics Colloquium, University of Utah, Salt Lake City, 26 October 2000  
    Invited Plenary Talk, Third SIAM Meeting on Materials Science, Philadelphia, PA, 22 May 2000  
    Mathematics Colloquium, Rutgers University, 7 April 2000  
    Applied Mathematics Seminar, Harvard University, 6 April 2000  
    Multimedia Seminar, IMA, Univ. of Minnesota, 16 March 2000  
    Kempner Colloquium, Mathematics Dept., Univ. of Colorado Boulder, 13 March 2000  
    Applied Mathematics Seminar, Univ. of California Santa Barbara, 10 March 2000  
    Physics Colloquium, UNC Wilmington, 3 March 2000  
    Invited talk, Dynamics Days 2000, Santa Fe, NM, 1 January 2000  
    Applied Mathematics Seminar, Courant Institute of Mathematical Sciences, NYU, 5 November 1999  
    Applied Mathematics Seminar, Massachusetts Institute of Technology, 24 September 1999  
    Workshop: ``Pattern formation in physics and mechanics'', Lorentz Center, Univ. of Leiden, Netherlands, 18 August 1999  
    workshop: ``The Dynamics of Thin Fluid Films'', ICMS Edinburgh Scotland, 13 July 1999  
    Special IAM Colloquium, Univ. of British Columbia, Vancouver, BC, 24 May 1999  
    Analysis Seminar, Univ. of Pennsylvania, 5 April 1999  
    Analysis Seminar, Univ. of California, Irvine, 16 March 1999  
    Joint Applied Mathematics/Control and Dynamical Systems/CRPC Seminar, CaliforniaInstitute of Technology, 15 March 1999  
    Physics Colloquium, Wake Forest University, 25 February 1999  
    CAMP/Nonlinear PDE's Seminar, Univ. of Chicago, 17 February 1999  
    PDE seminar, Univ. of Maryland, 15 February 1999  
    Physics Colloquium, Duke Univ., 3 February 1999  
    AMS Invited Address, annual meeting of the AMS, MAA, etc. San Antonio, TX, 16 January 1999  
    Sonderforschungsbereich 438, Munich/Freising Germany, 7 December 1998  
    Applied Mathematics Seminar, Univ. Bonn. Germany, 3 December 1998  
    Trends in Mathematical Physics, University of Tennessee, Knoxville, 14 October 1998  
    Workshop on Interfacial Phenomena,, Instituto Pluridisciplinar, Universidad Complutense de Madrid, Span, 13 July 1998  
    Joint Brown-Boston University PDE Seminar, Brown University, 19 March 1998  
    Analysis Seminar, Mathematics Dept., UT Austin, TX, 27 February 1998  
    Singularities in Nonlinear Physics, Mathematics, and Engineering, Los Alamos National Lab CNLS Workshop in Sante Fe, NM, 1 January 1998  
    Plenary Lecture,Third Midwest-Southeastern Atlantic Joint Regional Conference in Differential Equations, Vanderbilt Univ., 1 November 1997  
    Mathematics Colloquium, UNC Chapel Hill, 1 September 1997  
    plenary lecture, Julia Robinson Conference (AWM), MSRI, Berkeley, CA, 1 June 1996  
    Doctoral Theses Directed

    John Greer , Fourth order diffusions for image processing, (2003)  
    Ted Welsh , Mathematical modeling of landscape erosion: convergence, singularities, and shocks in a continuous, trasport-limited model, (2003)  
    Liya Zhornitskaya, Positivity Preserving Numerical Schemes for Lubrication Equations, (1999)  
    Professional Affiliations

    Dickson Instructor, University of Chicago 1991-5
    Maria Geoppert-Mayer Distinguished Scholar, Argonne National Laboratory, 1995-6
    Associate Professor of Mathematics, Duke University 1995-8
    Associate Professor of Mathematics and Physics, Duke University 1998-9
    Professor of Mathematics and Physics, Duke University, 1999-2004
    Director, Center for Nonlinear and Complex Systems, Duke University, 1999-2000
    Professor of Mathematics, Univ. of California Los Angeles, starting July 2003

    Referee for the following journals:

    Mathematics: Applied Numerical Analysis, Chaos, Communications in Mathematical Physics, Communications in PDE, Duke Mathematical Journal, Discrete and Continuous Dynamical Systems, Dynamic Systems and Applications, J. Engineering Mathematics, European J. Applied Mathematics, Indiana Univ. Mathematical Journal, Interfaces and free boundaries, International Journal of Mathematics and Mathematical Sciences, Mathematische Annalen, Nonlinear analysis theory methods and applications, Nonlinearity, Quarterly of Applied Mathematics, Queuing Systems Theory and Applications, SIAM J. Applied Mathematics, SIAM J. Mathematical Analysis.

    Physics, fluid mechanics, chemistry: Advances in Colloid and Interface Science, J. Colloid and Interface Science, The European Physical Journal E, Langmuir, J. Fluid Mechanics, J. Statistical Physics, Physica D, Physics of Fluids, Physical Review E, Physical Review Letters.

    Image processing : IEEE Transactions on Image Processing, IEEE Transactions on Pattern Analysis and Machine Intelligence.

    Students and postdocs supervised:

    former students: Liya Zhornitskaya, Ph. D. 1999, Edward Welsh, Ph. D. 2003, Robert Buckingham, 2001.
    current students: John Greer, Yao-Li Chuang (Physics).
    former postdocs: Mark Bowen, Univ. Nottingham, Karl Glasner, Asst. Prof. Univ. Arizona, Ning Ju, Asst. Prof., Oklahoma State Univ., Lou Kondic, Assoc. Prof. NJIT, Andreas Muench, Technical Univ. Munich.
    current postdocs: Dan Marthaler, Linda Smolka, Jeanman Sur, Chad Topaz.

    Publications

    Books

    1. Andrew J. Majda and Andrea L. Bertozzi, Vorticity and Incompressible Flow, Cambridge Univ. Press, 2002.

    Papers Published

    1. A. L. Bertozzi and J. B. Greer, Low-curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes, Communications On Pure And Applied Mathematics, vol. 57 no. 6 (June, 2004), pp. 764 -- 790
    2. T. P. Witelski and A. J. Bernoff and A. L. Bertozzi, Blowup and dissipation in a critical-case unstable thin film equation, European Journal Of Applied Mathematics, vol. 15 (April, 2004), pp. 223 -- 256
    3. C. M. Topaz and A. L. Bertozzi, Swarming patterns in a two-dimensional kinematic model for biological groups, Siam Journal On Applied Mathematics, vol. 65 no. 1 (2004), pp. 152 -- 174
    4. Andrea L. Bertozzi and John B. Greer, Low curvature image simplifiers: global regularity of smooth solutions and Laplacian limiting schemes, Comm. Pure Appl. Math., vol. 57 no. 6 (2004), pp. 764-790
    5. John B. Greer and Andrea L. Bertozzi, Traveling wave solutions of fourth order PDEs for image processing, SIAM J. Math. Anal., vol. 36 no. 1 (2004), pp. 38-68
    6. T.P. Witelski, A. J. Bernoff, A. L. Bertozzi, Blow-up and dissipation in a critical-case unstable thin film equation, European J. Appl. Math., vol. 15 (2004), pp. 223-256
    7. J. B. Greer and A. L. Bertozzi, H-1 solutions of a class of fourth order nonlinear equations for image processing, Discrete And Continuous Dynamical Systems, vol. 10 no. 1-2 (2004), pp. 349 -- 366
    8. L. Zhornitskaya and A. L. Bertozzi, Positivity-preserving numerical schemes for lubrication-type equations, Siam Journal On Numerical Analysis, vol. 37 no. 2 (January, 2000), pp. 523 -- 555
    9. A. L. Bertozzi and A. Munch and M. Shearer, Undercompressive shocks in thin film flows, Physica D, vol. 134 no. 4 (December, 1999), pp. 431 -- 464
    10. A. Munch and A. L. Bertozzi, Rarefaction-undercompressive fronts in driven films, Physics Of Fluids, vol. 11 no. 10 (October, 1999), pp. 2812 -- 2814
    11. A. L. Bertozzi and A. Munch and X. Fanton and A. M. Cazabat, Contact line stability and "undercompressive shocks" in driven thin film flow, Physical Review Letters, vol. 81 no. 23 (December, 1998), pp. 5169 -- 5172
    12. A. J. Bernoff and A. L. Bertozzi and T. P. Witelski, Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff, Journal Of Statistical Physics, vol. 93 no. 3-4 (November, 1998), pp. 725 -- 776
    13. A. L. Bertozzi, Symmetric singularity formation in lubrication-type equations for interface motion, Siam Journal On Applied Mathematics, vol. 56 no. 3 (June, 1996), pp. 681 -- 714
    14. A. L. Bertozzi and M. Pugh, The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions, Communications On Pure And Applied Mathematics, vol. 49 no. 2 (February, 1996), pp. 85 -- 123
    15. A. L. Bertozzi, Lubrication approximations for surface tension driven interfaces: Some open problems, Zeitschrift Fur Angewandte Mathematik Und Mechanik, vol. 76 (1996), pp. 373 -- 376
    16. A. J. Bernoff and A. L. Bertozzi, Singularities in a modified kuramoto-sivashinsky equation describing interface motion for phase-transition, Physica D, vol. 85 no. 3 (August, 1995), pp. 375 -- 404
    17. A. L. Bertozzi and M. Pugh, The lubrication approximation for thin viscous films - the moving contact line with a porous-media cutoff of van-der-waals interactions, Nonlinearity, vol. 7 no. 6 (November, 1994), pp. 1535 -- 1564
    18. A. L. Bertozzi, Heteroclinic orbits and chaotic dynamics in planar fluid-flows, Siam Journal On Mathematical Analysis, vol. 19 no. 6 (November, 1988), pp. 1271 -- 1294
    19. John B. Greer and Andrea L. Bertozzi, H1 Solutions of a class of fourth order nonlinear equations for image processing, Discrete and continuous dynamical systems 2004, special issue in honor of Mark Vishik, Editors: V. Chepyzhov, M. Efendiev, Alain Miranville, and Roger Temam, web page , vol. 1-2 no. 10 , pp. 349-366
    20. B. A. Wagner, A. L. Bertozzi, and L. E. Howle, Positive Feedback Control of Rayleigh-Benard Convection, Discrete and Continuous Dynamical Systems Series B, 2003, special issue in honor of David Schaeffer, vol. 3 no. 4 , pp. 619-642
    21. Daniel Marthaler and Andrea L. Bertozzi, Tracking environmental level sets with autonomous vehicles, S. Butenko, R. Murphey and P.M. Pardalos (editors), ``Recent Developments in Cooperative Control and Optimization'', Kluwer Academic Publishers, 2003
    22. B. Cook, D. Marthaler, C. Topaz, A. Bertozzi, and M. Kemp, Fractional bandwidth reacquisition algorithms for VSW-MCM, Multi-Robot Systems: From Swarms to Intelligent Automata, Volume II, 2003, Kluwer Academic Publishers, Dordrecht, A.C. Schultz et al. eds. 77-86
    23. Jeanman Sur, Andrea L. Bertozzi, Robert P. Behringer, Reverse undercompressive shock structures in driven thin film flow, Phys. Rev. Lett. 90 (12) 126105, 2003
    24. R. Buckingham, M. Shearer, and A. L. Bertozzi, Thin film traveling waves and the Navier slip condition, SIAM J. Appl. Math.Volume 63, Number 2, pp. 722-744, 2003
    25. Andrea L. Bertozzi and Mark Bowen, Thin films and moving contact lines, Modern Methods in Scientific Computing and Applications, Proceedings of the Nato Adv. Study Institute, Montreal Canada, 2001, pp. 31-79.Anne Bourlioux, Martin J. Gander, and Gert Sabidussi, eds., Nato Science Series II, Vol. 75, Kluwer, Dordrecht, 2002
    26. M. Bertalmio, A. L. Bertozzi, and G. Sapiro, Navier-Stokes, Fluid Dynamics, and Image and Video Inpainting, Proceedings of the International Conference on Computer Vision and Pattern Recognition , IEEE, Dec. 2001, Kauai, HI, volume I, pp. I-355-I362.
    27. Andrea L. Bertozzi, Guenther Gruen, and Thomas P. Witelski, Dewetting films: bifurcations and concentrations, Nonlinearity, vol 14, number 6, Nov 2001, pp 1569-1592.
    28. Andrea Bertozzi, Andreas Munch, Michael Shearer, and Kevin Zumbrun, Stability of compressive and undercompressive thin film travelling waves, European J. of Appl. Math., 12(3), pp.253-291, 2001
    29. Javier Diez, Lou Kondic, and Andrea Bertozzi, Global models for moving contact lines, Phys. Rev. E. 63, 011208 (January 2001)
    30. Andrea L. Bertozzi and Mary C. Pugh, Finite-time blow-up of solutions of some long-wave unstable thin film equations, Indiana Univ. Mathematics J. 49(4), pp. 1323-1366, 2000
    31. Andrea L. Bertozzi and Michael Shearer, Existence of undercompressive traveling waves in thin film equations, SIAM J. Math. Anal., vol 32, no. 1, pp. 194-213, 2000.
    32. L. Zhornitskaya and A. L. Bertozzi, Positivity Preserving Numerical Schemes for Lubrication-Type Equations, S.I.A.M. J. Num Anal., Vol. 37, No. 2, pp. 523-555, 2000.
    33. Andrea L Bertozzi, A. Munch, M. Shearer, Undercompressive Shocks in Thin Film Flow, Physica D, 134(4), 431-464, 1999.
    34. L. Kondic and A. L. Bertozzi, Nonlinear Dynamics and Transient Growth of Driven Contact Lines, Physics of Fluids, vol. 11, number 11, pages 3560-3562, 1999
    35. L. Kondic and A. L. Bertozzi, Thin Liquid Films: Instabilities of Driven Coating Flows On A Rough Surface, Dynamics in Small Confined Systems IV, ed. J. M. Drake, G. S. Grest, J. Klafter, and R. Kopelman, Materials Research Society Symposium Proceedings, Vol. 543, pages 213-218, 1999.
    36. A. Munch, A. L. Bertozzi, Rarefaction-Undercompressive Fonts in Driven Films, Physics of Fluids (Letters) 11(10), pp. 2812-2814, 1999
    37. Andrea L. Bertozzi,A. Münch and M. Shearer, Undercompressive waves in driven thin film flow: Theory, Computation, and Experiment, Proceedings of the Conference on Trends in Mathematical Physics, Knoxville, TN, Oct. 14-17, 1998. editors: V.Alexiades and G.Siopsis, AMS/IP Studies in Advanced Mathematics, Volume 13, AMS and International Press, 1999, pp. 43-68.
    38. Andrea L Bertozzi, A. Munch, X. Fanton, A.M. Cazabat, Contact Line Stability and 'Undercompressive Shocks' In Driven Thin Film Flow, Physical Review Letters, 81(23), pp. 5169-5l72. December 7, 1998
    39. Andrew Bernoff, Andrea L Bertozzi, Thomas Witelski, Axisymmetric Surface Diffusion: Dynamics and Stability of Self-Similar Pinch-Off, J. Stat. Phys., 93(3/4), November 1998, pp. 725-776
    40. Andrea L Bertozzi, M. Pugh, Long-Wave Instabilities and Saturation in Thin Film Equations, Comm. Pur. Appl. Math., Vol. LI, pages 625-651, 1998.
    41. Andrea L Bertozzi, The Mathematics of Moving Contact Lines in Thin Liquid Films, Notices Am. Math. Soc., 45(6), pp. 689-697, June/July 1998
    42. Andrea L Bertozzi, Michael Brenner, Linear Stability and Transient Growth in Driven Contact Lines, Physics of Fluids 9(3) March 1997, pp. 530-539.
    43. Robert Almgren, Andrea L Bertozzi, Michael Brenner, Stable and Unstable Singularities in the Unforced Hele-Shaw Cell, Physics of Fluids 8(6), June 1996.
    44. Andrea L Bertozzi, Lubrication Approximations for Surface Tension Driven Interfaces: Some Open Problems, Z. angew. Math. Mech. 76(1996) S2, pp. 373-376
    45. Andrea L Bertozzi, Symmetric Singularity Formation in Lubrication-Type Equations for Interface Motion, 34 pp, SIAM J. Applied Math. Vol. 56, No. 3, pp. June 1996, pp. 681-714
    46. Andrea L Bertozzi, M. Pugh, The Lubrication Approximation for Thin Viscous Films: Regularity and Long Time Behavior of Weak Solutions, Comm. Pure. Appl. Math., February, 49(2), 1996, pp. 85-123.
    47. A. J. Bernoff, Andrea L Bertozzi, Singularities in a Modified Kuramoto-Sivashinsky Equation Describing Interface Motion for Phase Transition, Physica D 85 (1995) 375-404.
    48. Andrea L Bertozzi, Loss and Gain of Regularity in a Lubrication Equation for Thin Viscous Films, Free Boundary Problems: Theory and Applications, pp. 72-85, J. I. Diaz, M. Herrero, A. Linan, J. L. Vazquez, eds.
    49. Andrea L Bertozzi, M. Pugh, The Lubrication Approximation for Thin Viscous Films: The Moving Contact Line with a 'Porous Media' cut off of Van der Waals Interactions, Nonlinearity. 7(6)November, 1994, pp. 1535-64.
    50. Andrea L Bertozzi, Michael P. Brenner, Todd F. Dupont, Leo P. Kadanoff, Singularities and Similarities in Interface Flows, Trends and Perspectives in Applied Mathematics, pp. 155-208, L. Sirovich, ed. volume 100, Springer-Verlag Applied Mathematical Sciences, 1994.
    51. Andrea L Bertozzi, Ashvin B. Chhabra, Cancellation Exponents and Fractal Scaling, Phys. Rev. E., 49(5) May 1, 1994, pp. 4716-9.
    52. Michael Brenner and Andrea L. Bertozzi, Spreading of Droplets on a Solid Surface, Physical Review Letters, 71 No. 4 pp. 593-596, July 26, 1993.
    53. Andrea L Bertozzi, James McKenna, Multidimensional Residues, Generating Functions, and Their Application To Queueing Networks, SIAM Review, 35, No. 2, pp. 239-268, June 1993.
    54. Andrea L Bertozzi, P. Constantin, Global Regularity for Vortex Patches, Commun. Math. Phys. 152 19-28 (1993).
    55. Andrea L. Bertozzi, Heteroclinic orbits and chaotic dynamics in planar fluid flows, SIAM J. Math. Anal., vol. 19, no. 6, November 1988, pp. 1271-1294. pp 41-76.

    Papers Accepted

    1. Chad Topaz and Andrea L. Bertozzi, Swarming dynamics and pattern formation in a model for biological group motion, to appear in SIAM J. Appl. Math. (March, 2004)
    2. Andrea Bertozzi, John Greer, Stanley Osher, and Kevin Vixie, Nonlinear regularizations of TV based PDEs for image processing, AMS Series of Contemporary Mathematics, proceedings of the 2003 Northewestern PDE conference, Gui-Qiang Chen, Joseph Jerome, and George Gasper eds. (2004)

    Papers Submitted

    1. Junjie Zhou, B. Dupuy, A.L. Bertozzi and A. E. Hosoi, Shock dynamics in particle-laden thin films (2004)
    2. M Kemp, A.L. Bertozzi, D. Marthaler, Multi-UUV perimeter surveillance, edited by Sebasco Estates, Maine, C., Brancart, E. An, M. Benjamin (2004) (IEEE OES Workshop on Multiple AUV Operations.)
    3. Mark Bowen, Jeanman Sur, Andrea L. Bertozzi, Robert P. Behringer, Nonlinear dynamics of two-dimensional undercompressive shocks, Physica D (2004)
    4. Chuang, Y.L., Oren, R., Bertozzi, A.L., Phillips, N., and Katul, G.G., "The porous media model for the hydraulic system of a tree: from sap flux data to transpiration rate", Ecological modeling (2004)
    5. A.L. Bertozzi M. Kemp, and D. Marthaler, Determining Environmental Boundaries: Asynchronous communication and physical scales, in Proceedings of the Block Island Workshop on Cooperative Control 2003, Lecture Notes in Control and Information Systems, edited by V. Kumar, N. Leonard, S. Morse (September, 2003), Springer-Verlag

    Papers In Preparation

    1. Andrea L. Bertozzi and Ning Ju, Convergence of convexity splitting schemes for lubrication equations , in preparation 2001

    Preprints

    1. Daniel Marthaler and Andrea L. Bertozzi, Collective motion algorithms for determining environmental boundaries , preprint 2002
    Last modified: 2008/07/31