Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke





.......................

.......................


Publications of Andrea L Bertozzi    :chronological  alphabetical  combined listing:

%% Books   
@book{fds9452,
   Author = {Andrew J. Majda and Andrea L. Bertozzi},
   Title = {Vorticity and Incompressible Flow},
   Journal = {Cambridge Univ. Press, 2002.},
   url = {http://www.cup.org/titles/catalogue.asp?isbn=0521639484},
   Key = {fds9452}
}


%% Papers Published   
@booklet{Bertozzi04,
   Author = {A. L. Bertozzi and J. B. Greer},
   Title = {Low-curvature image simplifiers: Global regularity of smooth
             solutions and Laplacian limiting schemes},
   Journal = {Communications On Pure And Applied Mathematics},
   Volume = {57},
   Number = {6},
   Pages = {764 -- 790},
   Year = {2004},
   Month = {June},
   Key = {Bertozzi04}
}

@booklet{Witelski04,
   Author = {T. P. Witelski and A. J. Bernoff and A. L.
             Bertozzi},
   Title = {Blowup and dissipation in a critical-case unstable thin film
             equation},
   Journal = {European Journal Of Applied Mathematics},
   Volume = {15},
   Pages = {223 -- 256},
   Year = {2004},
   Month = {April},
   Key = {Witelski04}
}

@booklet{Topaz04,
   Author = {C. M. Topaz and A. L. Bertozzi},
   Title = {Swarming patterns in a two-dimensional kinematic model for
             biological groups},
   Journal = {Siam Journal On Applied Mathematics},
   Volume = {65},
   Number = {1},
   Pages = {152 -- 174},
   Year = {2004},
   Key = {Topaz04}
}

@article{fds21046,
   Author = {Andrea L. Bertozzi and John B. Greer},
   Title = {Low curvature image simplifiers: global regularity of smooth
             solutions and Laplacian limiting schemes},
   Journal = {Comm. Pure Appl. Math.},
   Volume = {57},
   Number = {6},
   Pages = {764-790},
   Year = {2004},
   Key = {fds21046}
}

@article{fds23552,
   Author = {John B. Greer and Andrea L. Bertozzi},
   Title = {Traveling wave solutions of fourth order PDEs for image
             processing},
   Journal = {SIAM J. Math. Anal.},
   Volume = {36},
   Number = {1},
   Pages = {38-68},
   Year = {2004},
   url = {http://epubs.siam.org/sam-bin/dbq/article/42737},
   Key = {fds23552}
}

@article{fds23086,
   Author = {T.P. Witelski and A. J. Bernoff and A. L. Bertozzi},
   Title = {Blow-up and dissipation in a critical-case unstable thin
             film equation},
   Journal = {European J. Appl. Math.},
   Volume = {15},
   Pages = {223-256},
   Year = {2004},
   Key = {fds23086}
}

@booklet{Greer04a,
   Author = {J. B. Greer and A. L. Bertozzi},
   Title = {H-1 solutions of a class of fourth order nonlinear equations
             for image processing},
   Journal = {Discrete And Continuous Dynamical Systems},
   Volume = {10},
   Number = {1-2},
   Pages = {349 -- 366},
   Year = {2004},
   Key = {Greer04a}
}

@booklet{Zhornitskaya00,
   Author = {L. Zhornitskaya and A. L. Bertozzi},
   Title = {Positivity-preserving numerical schemes for lubrication-type
             equations},
   Journal = {Siam Journal On Numerical Analysis},
   Volume = {37},
   Number = {2},
   Pages = {523 -- 555},
   Year = {2000},
   Month = {January},
   Key = {Zhornitskaya00}
}

@booklet{Bertozzi99,
   Author = {A. L. Bertozzi and A. Munch and M. Shearer},
   Title = {Undercompressive shocks in thin film flows},
   Journal = {Physica D},
   Volume = {134},
   Number = {4},
   Pages = {431 -- 464},
   Year = {1999},
   Month = {December},
   Key = {Bertozzi99}
}

@booklet{Munch99,
   Author = {A. Munch and A. L. Bertozzi},
   Title = {Rarefaction-undercompressive fronts in driven
             films},
   Journal = {Physics Of Fluids},
   Volume = {11},
   Number = {10},
   Pages = {2812 -- 2814},
   Year = {1999},
   Month = {October},
   Key = {Munch99}
}

@booklet{Bertozzi98,
   Author = {A. L. Bertozzi and A. Munch and X. Fanton and A. M.
             Cazabat},
   Title = {Contact line stability and "undercompressive shocks" in
             driven thin film flow},
   Journal = {Physical Review Letters},
   Volume = {81},
   Number = {23},
   Pages = {5169 -- 5172},
   Year = {1998},
   Month = {December},
   Key = {Bertozzi98}
}

@booklet{Bernoff98,
   Author = {A. J. Bernoff and A. L. Bertozzi and T. P.
             Witelski},
   Title = {Axisymmetric surface diffusion: Dynamics and stability of
             self-similar pinchoff},
   Journal = {Journal Of Statistical Physics},
   Volume = {93},
   Number = {3-4},
   Pages = {725 -- 776},
   Year = {1998},
   Month = {November},
   Key = {Bernoff98}
}

@booklet{Bertozzi96a,
   Author = {A. L. Bertozzi},
   Title = {Symmetric singularity formation in lubrication-type
             equations for interface motion},
   Journal = {Siam Journal On Applied Mathematics},
   Volume = {56},
   Number = {3},
   Pages = {681 -- 714},
   Year = {1996},
   Month = {June},
   Key = {Bertozzi96a}
}

@booklet{Bertozzi96b,
   Author = {A. L. Bertozzi and M. Pugh},
   Title = {The lubrication approximation for thin viscous films:
             Regularity and long-time behavior of weak
             solutions},
   Journal = {Communications On Pure And Applied Mathematics},
   Volume = {49},
   Number = {2},
   Pages = {85 -- 123},
   Year = {1996},
   Month = {February},
   Key = {Bertozzi96b}
}

@booklet{Bertozzi96,
   Author = {A. L. Bertozzi},
   Title = {Lubrication approximations for surface tension driven
             interfaces: Some open problems},
   Journal = {Zeitschrift Fur Angewandte Mathematik Und
             Mechanik},
   Volume = {76},
   Pages = {373 -- 376},
   Year = {1996},
   Key = {Bertozzi96}
}

@booklet{Bernoff95,
   Author = {A. J. Bernoff and A. L. Bertozzi},
   Title = {Singularities in a modified kuramoto-sivashinsky equation
             describing interface motion for phase-transition},
   Journal = {Physica D},
   Volume = {85},
   Number = {3},
   Pages = {375 -- 404},
   Year = {1995},
   Month = {August},
   Key = {Bernoff95}
}

@booklet{Bertozzi94,
   Author = {A. L. Bertozzi and M. Pugh},
   Title = {The lubrication approximation for thin viscous films - the
             moving contact line with a porous-media cutoff of
             van-der-waals interactions},
   Journal = {Nonlinearity},
   Volume = {7},
   Number = {6},
   Pages = {1535 -- 1564},
   Year = {1994},
   Month = {November},
   Key = {Bertozzi94}
}

@booklet{Bertozzi88,
   Author = {A. L. Bertozzi},
   Title = {Heteroclinic orbits and chaotic dynamics in planar
             fluid-flows},
   Journal = {Siam Journal On Mathematical Analysis},
   Volume = {19},
   Number = {6},
   Pages = {1271 -- 1294},
   Year = {1988},
   Month = {November},
   Key = {Bertozzi88}
}

@article{fds15845,
   Author = {John B. Greer and Andrea L. Bertozzi},
   Title = {H1 Solutions of a class of fourth order nonlinear
             equations for image processing},
   Journal = {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 },
   Volume = {1-2},
   Number = {10},
   Pages = {349-366},
   url = {http://www.math.ucla.edu/applied/cam/index.html},
   Abstract = {to appear},
   Key = {fds15845}
}

@article{fds15844,
   Author = {B. A. Wagner and A. L. Bertozzi and L. E. Howle},
   Title = {Positive Feedback Control of Rayleigh-Benard
             Convection},
   Journal = {Discrete and Continuous Dynamical Systems Series B, 2003,
             special issue in honor of David Schaeffer},
   Volume = {3},
   Number = {4},
   Pages = {619-642},
   url = {http://www.math.ucla.edu/applied/cam/index.html},
   Key = {fds15844}
}

@article{fds15523,
   Author = {Daniel Marthaler and Andrea L. Bertozzi},
   Title = {Tracking environmental level sets with autonomous
             vehicles},
   Journal = {S. Butenko, R. Murphey and P.M. Pardalos (editors), ``Recent
             Developments in Cooperative Control and Optimization'',
             Kluwer Academic Publishers, 2003},
   url = {http://www.ise.ufl.edu/cao/cco/announc.htm},
   Key = {fds15523}
}

@article{fds10449,
   Author = {B. Cook and D. Marthaler and C. Topaz and A. Bertozzi and M.
             Kemp},
   Title = {Fractional bandwidth reacquisition algorithms for
             VSW-MCM},
   Journal = {Multi-Robot Systems: From Swarms to Intelligent Automata,
             Volume II, 2003, Kluwer Academic Publishers, Dordrecht, A.C.
             Schultz et al. eds. 77-86},
   url = {http://www.pao.nrl.navy.mil/robots/},
   Key = {fds10449}
}

@article{fds10445,
   Author = {Jeanman Sur and Andrea L. Bertozzi and Robert P.
             Behringer},
   Title = {Reverse undercompressive shock structures in driven thin
             film flow},
   Journal = {Phys. Rev. Lett. 90 (12) 126105, 2003},
   url = {http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000090000012126105000001&idtype=cvips&gifs=Yes},
   Key = {fds10445}
}

@article{fds10433,
   Author = {R. Buckingham and M. Shearer and A. L. Bertozzi},
   Title = {Thin film traveling waves and the Navier slip
             condition},
   Journal = {SIAM J. Appl. Math.Volume 63, Number 2, pp. 722-744,
             2003},
   url = {http://epubs.siam.org/sam-bin/dbq/article/40140},
   Key = {fds10433}
}

@article{fds10326,
   Author = {Andrea L. Bertozzi and Mark Bowen},
   Title = {Thin films and moving contact lines},
   Journal = {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},
   Key = {fds10326}
}

@article{fds10158,
   Author = {M. Bertalmio and A. L. Bertozzi and G. Sapiro},
   Title = {Navier-Stokes, Fluid Dynamics, and Image and Video
             Inpainting},
   Journal = {Proceedings of the 
             International Conference on Computer Vision and Pattern
             Recognition , IEEE, Dec. 2001, Kauai, HI, volume I, pp.
             I-355-I362.},
   url = {http://www.math.duke.edu/~bertozzi/inpaint/623A_bertozzi.ps},
   Abstract = {Image inpainting involves filling in part of an image or
             video using information from the surrounding area.
             Applications include the restoration of damaged photographs
             and movies and the removal of selected objects. In this
             paper, we introduce a class of automated methods for digital
             inpainting. The approach uses ideas from classical fluid
             dynamics to propagate isophote lines continuously from the
             exterior into the region to be inpainted. The main idea is
             to think of the image intensity as a `stream function' for a
             two-dimensional incompressible flow. The Laplacian of the
             image intensity plays the role of the vorticity of the
             fluid; it is transported into the region to be inpainted by
             a vector field defined by the stream function. The resulting
             algorithm is designed to continue isophotes while matching
             gradient vectors at the boundary of the inpainting region.
             The method is directly based on the Navier-Stokes equations
             for fluid dynamics, which has the immediate advantage of
             well-developed theoretical and numerical results. This is a
             new approach for introducing ideas from computational fluid
             dynamics into problems in computer vision and image
             analysis.},
   Key = {fds10158}
}

@article{fds9865,
   Author = {Andrea L. Bertozzi and Guenther Gruen and Thomas P.
             Witelski},
   Title = {Dewetting films: bifurcations and concentrations},
   Journal = {Nonlinearity, vol 14, number 6, Nov 2001, pp
             1569-1592.},
   url = {http://www.iop.org/EJ/S/3/133/toc/Non/accel},
   Abstract = {Under the influence of long range attractive and short range
             repulsive forces, thin liquid films rupture and form complex
             dewetting patterns. This paper studies this phenomenon in
             one space dimension in the framework of fourth order
             degenerate parabolic equations of lubrication type. We
             derive the global structure of the bifurcation diagram for
             steady state solutions. A stability analysis of the solution
             branches and numerical simulations suggest coarsening
             occurs. Furthermore, we study the behavior of solutions in
             the limit that short range repulsive forces are neglected.
             Both asymptotic analysis and numerical experiments show that
             this limit can concentrate mass in $\delta$-distributions.},
   Key = {fds9865}
}

@article{fds9830,
   Author = {Andrea Bertozzi and Andreas Munch and Michael Shearer and Kevin
             Zumbrun},
   Title = {Stability of compressive and undercompressive thin film
             travelling waves},
   Journal = {European J. of Appl. Math., 12(3), pp.253-291,
             2001},
   url = {http://www.journals.cup.org/bin/bladerunner?REQUNIQ=997889121&REQSESS=44897&117000REQEVENT=&REQINT1=82548&REQAUTH=0},
   Abstract = {Recent studies of liquid films driven by competing forces
             due to surface tension gradients and gravity reveal that
             undercompressive traveling waves play an important role in
             the dynamics when the competing forces are comparable. In
             this paper we provide a theoretical framework for assessing
             the spectral stability of compressive and undercompressive
             traveling waves in thin film models. Associated with the
             linear stability problem is an Evans function which vanishes
             precisely at eigenvalues of the linearized operator. The
             structure of an index related to the Evans function explains
             computational results for stability of compressive waves. A
             new formula for the index in the undercompressive case
             yields results consistent with stability. <p> In considering
             stability of undercompressive waves to transverse
             perturbations, there is an apparent inconsistency between
             long-wave asymptotics of the largest eigenvalue and its
             actual behavior. We show that this paradox is due to the
             unusual structure of the eigenfunctions and we construct a
             revised long-wave asymptotics. We conclude with numerical
             computations of the largest eigenvalue, comparisons with the
             asymptotic results, and several open problems associated
             with our findings.},
   Key = {fds9830}
}

@article{fds9800,
   Author = {Javier Diez and Lou Kondic and Andrea Bertozzi},
   Title = {Global models for moving contact lines},
   Journal = {Phys. Rev. E. 63, 011208 (January 2001)},
   url = {http://pre.aps.org/},
   Key = {fds9800}
}

@article{fds9761,
   Author = {Andrea L. Bertozzi and Mary C. Pugh},
   Title = {Finite-time blow-up of solutions of some long-wave unstable
             thin film equations},
   Journal = {Indiana Univ. Mathematics J. 49(4), pp. 1323-1366,
             2000},
   url = {http://inca.math.indiana.edu/iumj/index.php},
   Key = {fds9761}
}

@article{fds9631,
   Author = {Andrea L. Bertozzi and Michael Shearer},
   Title = {Existence of undercompressive traveling waves in thin film
             equations},
   Journal = {SIAM J. Math. Anal., vol 32, no. 1, pp. 194-213,
             2000.},
   url = {http://epubs.siam.org/sam-bin/dbq/article/35089},
   Key = {fds9631}
}

@article{fds9526,
   Author = {L. Zhornitskaya and A. L. Bertozzi},
   Title = {Positivity Preserving Numerical Schemes for Lubrication-Type
             Equations},
   Journal = {S.I.A.M. J. Num Anal., Vol. 37, No. 2, pp. 523-555,
             2000.},
   url = {http://epubs.siam.org/sam-bin/dbq/article/33569},
   Key = {fds9526}
}

@article{fds9450,
   Author = {Andrea L Bertozzi and A. Munch and M. Shearer},
   Title = {Undercompressive Shocks in Thin Film Flow},
   Journal = {Physica D, 134(4), 431-464, 1999.},
   url = {http://www.elsevier.nl/inca/publications/store/5/0/5/7/1/4/},
   Key = {fds9450}
}

@article{fds9382,
   Author = {L. Kondic and A. L. Bertozzi},
   Title = {Nonlinear Dynamics and Transient Growth of Driven Contact
             Lines},
   Journal = {Physics of Fluids, vol. 11, number 11, pages 3560-3562,
             1999},
   url = {http://ojps.aip.org/journal_cgi/getabs?KEY=PHFLE6&cvips=PHFLE6000011000011003560000001&gifs=Yes},
   Key = {fds9382}
}

@article{fds9451,
   Author = {L. Kondic and A. L. Bertozzi},
   Title = {Thin Liquid Films: Instabilities of Driven Coating Flows On
             A Rough Surface},
   Journal = {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.},
   Key = {fds9451}
}

@article{fds9054,
   Author = {A. Munch and A. L. Bertozzi},
   Title = {Rarefaction-Undercompressive Fonts in Driven
             Films},
   Journal = {Physics of Fluids (Letters) 11(10), pp. 2812-2814,
             1999},
   url = {http://ojps.aip.org/journal_cgi/dbt?KEY=PHFLE6&Volume=11&Issue=10},
   Key = {fds9054}
}

@article{fds9056,
   Author = {Andrea L. Bertozzi,A. Münch and M. Shearer},
   Title = {Undercompressive waves in driven thin film flow: Theory,
             Computation, and Experiment},
   Journal = {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.},
   Key = {fds9056}
}

@article{fds8752,
   Author = {Andrea L Bertozzi and A. Munch and X. Fanton and A.M.
             Cazabat},
   Title = {Contact Line Stability and 'Undercompressive Shocks' In
             Driven Thin Film Flow},
   Journal = {Physical Review Letters, 81(23), pp. 5169-5l72. December 7,
             1998},
   url = {http://ojps.aip.org/journal_cgi/getabs?KEY=PRLTAO&cvips=PRLTAO000081000023005169000001&gifs=Yes},
   Key = {fds8752}
}

@article{fds8754,
   Author = {Andrew Bernoff and Andrea L Bertozzi and Thomas
             Witelski},
   Title = {Axisymmetric Surface Diffusion: Dynamics and Stability of
             Self-Similar Pinch-Off},
   Journal = {J. Stat. Phys., 93(3/4), November 1998, pp.
             725-776},
   Key = {fds8754}
}

@article{fds8756,
   Author = {Andrea L Bertozzi and M. Pugh},
   Title = {Long-Wave Instabilities and Saturation in Thin Film
             Equations},
   Journal = {Comm. Pur. Appl. Math., Vol. LI, pages 625-651,
             1998.},
   Key = {fds8756}
}

@article{fds8753,
   Author = {Andrea L Bertozzi},
   Title = {The Mathematics of Moving Contact Lines in Thin Liquid
             Films},
   Journal = {Notices Am. Math. Soc., 45(6), pp. 689-697, June/July
             1998},
   Key = {fds8753}
}

@article{fds8781,
   Author = {Andrea L Bertozzi and Michael Brenner},
   Title = {Linear Stability and Transient Growth in Driven Contact
             Lines},
   Journal = {Physics of Fluids 9(3) March 1997, pp. 530-539.},
   url = {http://ojps.aip.org/journal_cgi/dbt?KEY=PHFLE6&Volume=9&Issue=3},
   Key = {fds8781}
}

@article{fds8782,
   Author = {Robert Almgren and Andrea L Bertozzi and Michael
             Brenner},
   Title = {Stable and Unstable Singularities in the Unforced Hele-Shaw
             Cell},
   Journal = {Physics of Fluids 8(6), June 1996.},
   url = {http://ojps.aip.org/journal_cgi/dbt?KEY=PHFLE6&Volume=8&Issue=6},
   Key = {fds8782}
}

@article{fds8783,
   Author = {Andrea L Bertozzi},
   Title = {Lubrication Approximations for Surface Tension Driven
             Interfaces: Some Open Problems},
   Journal = {Z. angew. Math. Mech. 76(1996) S2, pp. 373-376},
   Key = {fds8783}
}

@article{fds8784,
   Author = {Andrea L Bertozzi},
   Title = {Symmetric Singularity Formation in Lubrication-Type
             Equations for Interface Motion, 34 pp},
   Journal = {SIAM J. Applied Math. Vol. 56, No. 3, pp. June 1996, pp.
             681-714},
   Key = {fds8784}
}

@article{fds8785,
   Author = {Andrea L Bertozzi and M. Pugh},
   Title = {The Lubrication Approximation for Thin Viscous Films:
             Regularity and Long Time Behavior of Weak
             Solutions},
   Journal = {Comm. Pure. Appl. Math., February, 49(2), 1996, pp.
             85-123.},
   Key = {fds8785}
}

@article{fds8786,
   Author = {A. J. Bernoff and Andrea L Bertozzi},
   Title = {Singularities in a Modified Kuramoto-Sivashinsky Equation
             Describing Interface Motion for Phase Transition},
   Journal = {Physica D 85 (1995) 375-404.},
   Key = {fds8786}
}

@article{fds8787,
   Author = {Andrea L Bertozzi},
   Title = {Loss and Gain of Regularity in a Lubrication Equation for
             Thin Viscous Films},
   Journal = {Free Boundary Problems: Theory and Applications, pp. 72-85,
             J. I. Diaz, M. Herrero, A. Linan, J. L. Vazquez,
             eds.},
   Key = {fds8787}
}

@article{fds8788,
   Author = {Andrea L Bertozzi and M. Pugh},
   Title = {The Lubrication Approximation for Thin Viscous Films: The
             Moving Contact Line with a 'Porous Media' cut off of Van der
             Waals Interactions},
   Journal = {Nonlinearity. 7(6)November, 1994, pp. 1535-64.},
   Key = {fds8788}
}

@article{fds8789,
   Author = {Andrea L Bertozzi and Michael P. Brenner and Todd F. Dupont and Leo
             P. Kadanoff},
   Title = {Singularities and Similarities in Interface
             Flows},
   Journal = {Trends and Perspectives in Applied Mathematics, pp. 155-208,
             L. Sirovich, ed. volume 100, Springer-Verlag Applied
             Mathematical Sciences, 1994.},
   Key = {fds8789}
}

@article{fds8790,
   Author = {Andrea L Bertozzi and Ashvin B. Chhabra},
   Title = {Cancellation Exponents and Fractal Scaling},
   Journal = {Phys. Rev. E., 49(5) May 1, 1994, pp. 4716-9.},
   Key = {fds8790}
}

@article{fds8791,
   Author = {Michael Brenner and Andrea L. Bertozzi},
   Title = {Spreading of Droplets on a Solid Surface},
   Journal = {Physical Review Letters, 71 No. 4 pp. 593-596, July 26,
             1993.},
   Key = {fds8791}
}

@article{fds8792,
   Author = {Andrea L Bertozzi and James McKenna},
   Title = {Multidimensional Residues, Generating Functions, and Their
             Application To Queueing Networks},
   Journal = {SIAM Review, 35, No. 2, pp. 239-268, June
             1993.},
   Key = {fds8792}
}

@article{fds8793,
   Author = {Andrea L Bertozzi and P. Constantin},
   Title = {Global Regularity for Vortex Patches},
   Journal = {Commun. Math. Phys. 152 19-28 (1993).},
   Key = {fds8793}
}

@article{fds9057,
   Author = {Andrea L. Bertozzi},
   Title = {Heteroclinic orbits and chaotic dynamics in planar fluid
             flows},
   Journal = {SIAM J. Math. Anal., vol. 19, no. 6, November 1988, pp.
             1271-1294. pp 41-76.},
   Key = {fds9057}
}


%% Papers Accepted   
@article{fds20356,
   Author = {Chad Topaz and Andrea L. Bertozzi},
   Title = {Swarming dynamics and pattern formation in a model for
             biological group motion},
   Journal = {to appear in SIAM J. Appl. Math.},
   Year = {2004},
   Month = {March},
   Key = {fds20356}
}

@article{fds23087,
   Author = {Andrea Bertozzi and John Greer and Stanley Osher and Kevin
             Vixie},
   Title = {Nonlinear regularizations of TV based PDEs for image
             processing},
   Journal = {AMS Series of Contemporary Mathematics, proceedings of the
             2003 Northewestern PDE conference, Gui-Qiang Chen, Joseph
             Jerome, and George Gasper eds.},
   Year = {2004},
   Key = {fds23087}
}


%% Papers Submitted   
@article{fds24258,
   Author = {Junjie Zhou and B. Dupuy and A.L. Bertozzi and A. E.
             Hosoi},
   Title = {Shock dynamics in particle-laden thin films},
   Year = {2004},
   Key = {fds24258}
}

@article{fds23849,
   Author = {M Kemp and A.L. Bertozzi and D. Marthaler},
   Title = {Multi-UUV perimeter surveillance},
   Editor = {Sebasco Estates and Maine, C. and Brancart, E. An and M.
             Benjamin},
   Year = {2004},
   Key = {fds23849}
}

@article{fds20708,
   Author = {Mark Bowen and Jeanman Sur and Andrea L. Bertozzi and Robert P.
             Behringer},
   Title = {Nonlinear dynamics of two-dimensional undercompressive
             shocks},
   Journal = {Physica D},
   Year = {2004},
   Key = {fds20708}
}

@article{fds18677,
   Author = {Chuang, Y.L. and Oren, R. and Bertozzi, A.L. and Phillips, N. and Katul, G.G.},
   Title = {"The porous media model for the hydraulic system of a tree:
             from sap flux data to transpiration rate"},
   Journal = {Ecological modeling},
   Year = {2004},
   Key = {fds18677}
}

@article{fds12422,
   Author = {A.L. Bertozzi M. Kemp, and D. Marthaler},
   Title = {Determining Environmental Boundaries: Asynchronous
             communication and physical scales},
   Series = {Lecture Notes in Control and Information
             Systems},
   Booktitle = {Proceedings of the Block Island Workshop on Cooperative
             Control 2003},
   Publisher = {Springer-Verlag},
   Editor = {V. Kumar and N. Leonard and S. Morse},
   Year = {2003},
   Month = {September},
   Key = {fds12422}
}


%% Preprints   
@article{fds18679,
   Author = {Daniel Marthaler and Andrea L. Bertozzi},
   Title = {Collective motion algorithms for determining environmental
             boundaries},
   Key = {fds18679}
}

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320