
Papers Published
 Thomas P Witelski, An asymptotic solution for traveling waves of a nonlineardiffusion Fisher's equation,
Journal of Mathematical Biology, 33, pp. 116, (1994)
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 Thomas P Witelski, Shocks in nonlinear diffusion,
Applied Mathematics Letters, 8, 5, pp. 2732, (1995)
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 D. S. Cohen, Thomas P Witelski, Perturbed Reversible Systems,
Physics Letters A, 207, pp. 8386, (1995)
 D. S. Cohen, Thomas P Witelski, Forbidden regions for shock formation in diffusive systems,
Studies in Applied Mathematics, 95, pp. 297317, (1995)
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 Thomas P Witelski, Merging traveling waves for the pouousFisher's equation,
Applied Mathematics Letters, 8, 4, pp. 5762, (1995)
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 Thomas P Witelski, Stopping and merging problems for the porous media equation,
IMA Journal of Applied Mathematics, 54, pp. 227243, (1995)
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 D. S. Cohen, A. B. White Jr, Thomas P Witelski, Shock formation in a multidimensional viscoelastic diffusive system,
SIAM Journal on Applied Mathematics, 55, 2, pp. 348368, (1995)
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 D. S. Cohen, Thomas P Witelski, Inaccessible states in timedependent reactiondiffusive systems,
Studies in Applied Mathematics, 97, pp. 301319, (1996)
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 Thomas P Witelski, The structure of internal layers for unstable nonlinear diffusion equations,
Studies in Applied Mathematics, 96, pp. 277300, (1996)
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 Thomas P Witelski, Traveling wave solutions for Case II diffusion in polymers,
Journal of Polymer Science B: Polymer Physics, 34, pp. 141150, (1996)
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 W. L. Hogarth, J. Y. Parlange, Thomas P Witelski, The superposition principle for infiltration with power law diffusivity,
Hydrology Days  Proceedings of the 17th Annual American Geophysical Union, pp. 365374 (1997)
 Thomas P Witelski, Segregation and Mixing in degenerate diffusion in population dynamics,
Journal of Mathematical Biology, 35, pp. 695712, (1997)
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 Thomas P Witelski, Similarity solutions of the lubrication equation,
Applied Mathematics Letters, 10, 5, pp. 107113, (1997)
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 Thomas P Witelski, Perturbation analysis for wetting fronts in Richards' equation,
Transport in Porous Media, 27, pp. 121134, (1997)
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 Thomas P Witelski, Dynamics of air bearing sliders,
Physics of Fluids, 10, 3, (1998), pp. 698708
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 Thomas P Witelski, Horizontal infiltration into wet soil,
Water Resources Research, 34, 7, pp. 216222 (1998)
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 Thomas P. Witelski and A. J. Bernoff, Selfsimilar asymptotics for linear and nonlinear diffusion equations,
Studies in Applied Mathematics, 100, pp. 153193, (1998)
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 A. Y. Grosberg, T. Tanaka, Thomas P Witelski, On the properties of polymer globules in the highdensity limit,
Journal of Chemical Physics, 108, 21, pp. 91449149, (1998)
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 A. J. Bernoff, A. L. Bertozzi, Thomas P Witelski, Axisymmetric surface diffusion: dynamics and stability of selfsimilar pinchoff,
Journal of Statistical Physics, 93, 3/4, pp. 725776, (1998)
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 M. P. Brenner, Thomas P Witelski, On spherically symmetric gravitational collapse,
Journal of Statistical Physics, 93, 3/4, pp. 863900, (1998)
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 Thomas P Witelski, Equilibrium solutions of a degenerate singular CahnHilliard equation,
Applied Mathematics Letters, 11, 5, pp. 127133, (1998)
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 Thomas P Witelski, F. Hendriks, Stability of Gas Bearing Sliders for Large Bearing Number: Convective Instability of the Tapered slider,
Tribology Transactions, 42, 1, pp. 216222, (1999)
[ps] [abs]
 Thomas P. Witelski, F. Hendriks, Large Bearing Number Stability Analysis for Tango Class Gas Bearing Sliders,
Tribology Transactions, 42 (3), pp. 668674 (1999)
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 F. Hendriks, Thomas P. Witelski, et al, Design of planar coils of minimum resistance for magnetic recording devices,
Proceedings of the Workshop on Mathematical Problems in Industry, University of Delaware, 1999
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 Thomas P. Witelski and Andrew J. Bernoff, Stability of selfsimilar solutions for van der Waals driven thin film rupture,
Physics of Fluids, 11,9, (1999), pp. 24432445
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 Thomas P. Witelski, K. Ono, T. J. Kaper, On Axisymmetric Traveling waves and Radial solutions of semilinear elliptic equations,
Natural Resource Modeling 13, 3, 2000, pp. 339387
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 Thomas P. Witelski, K. Ono, T. J. Kaper, Analysis of the critical wave speeds of scalar reactiondiffusion equations,
Applied Math Letters, 14/1 (2000) pp. 6573.
[ps] [abs]
 Thomas P. Witelski and A. J. Bernoff, Threedimensional van der Waals driven thin film rupture,
Physica D, 147 (12), pp. 155176, (2000).
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 D. Vaynblat, J. R. Lister and Thomas P. Witelski, Rupture of Thin Viscous Films by van der Waals Forces: Evolution and Selfsimilarity,
Physics of Fluids 13, 5 (2001) 11301140.
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 D. Vaynblat, J. R. Lister and Thomas P. Witelski, Symmetry and selfsimilarity in rupture and pinchoff:A geometric bifurcation,
European Journal of Applied Mathematics (2001) 12, 3, pp. 209232.
[abs]
 A. L. Bertozzi, G. Grun, Thomas P. Witelski, Dewetting films: bifurcations and concentrations,
Nonlinearity, 14 (2001) pp 15691592
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 Thomas P. Witelski, D. G. Schaeffer, and M. Shearer, A Discrete Model for an Illposed Nonlinear Parabolic PDE,
Physica D, 160 (2001) pp. 189221.
[S01672789(01)003505] [abs]
 A. J. Bernoff and Thomas P. Witelski, Linear stability of sourcetype similarity solutions of the thin film equation,
Applied Mathematics Letters 18 (2002) pp. 599606.
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 Ferdinand Hendriks, Thomas P. Witelski, et al, Shape optimization of pressurized air bearings,
Proceedings 2001 Workshop on Mathematical Problems in Industry, RPI
[abs]
 Thomas P. Witelski, Computing finitetime singularities in interfacial flows,
Modern Methods in Scientific Computing and Applications (NATO ASI series II proceedings, volume 75), 2002, pp. 451487.
[1402007825] [abs]
 T. Witelski, P. Ng, J. Ying, J. Jundy, J. Bove, An application of pattern recognition and infrared spectroscopy to water analysis,
International Journal of Environmental Analytical Chemistry, vol. 44 no. 2
(1991),
pp. 127136, ISSN 03067319
 Karl B. Glasner and Thomas P. Witelski, Coarsening dynamics of dewetting films,
Physical Review E, vol. 67
(2003),
pp. 016302 [GetabsServlet] [abs]
 Thomas P. Witelski, Intermediate asymptotics for Richards' equation in a finite layer,
Journal of Engineering Mathematics, vol. 45 no. 34
(2003),
pp. 379399 [A:1022609020200] [abs]
 Thomas P. Witelski and M. Bowen, ADI schemes for fourthorder nonlinear diffusion equations,
Applied Numerical Mathematics, vol. 45 no. 23
(2003),
pp. 331351 [S01689274(02)001940] [abs]
 D. G. Schaeffer, M. Shearer, and Thomas P. Witelski, Onedimensional solutions in an elastoplasticity model of granular materials,
Mathematical Models and Methods in Applied Sciences, vol. 13 no. 11
(November, 2003),
pp. 16291671 [html] [abs]
 T.P. Witelski (guest editor), Nonlinear Differential Equations, Mechanics and Bifurcation,
Discrete and Continuous Dynamical Systems: Series B, vol. 3 no. 4
(November, 2003) (A special issue dedicated to David G. Schaeffer's 60th birthday.) [htm]
 Thomas P. Witelski and Andrew J. Bernoff and Andrea L. Bertozzi, Blowup and dissipation in a criticalcase unstable thin film equation,
European Journal of Applied Mathematics, vol. 15 no. 2
(April, 2004),
pp. 223256 [abs]
 L. J. Borucki, Thomas P. Witelski, C. P. Please, P. Kramer, D. Schwendeman, A theory of pad conditioning for chemicalmechanical polishing,
Journal of Engineering Mathematics, vol. 50 no. 1
(September, 2004),
pp. 124 [issues.aspx] [abs]
 Jeanman Sur and T. P. Witelski and R. P. Behringer, SteadyProfile Fingering Flows in Marangoni Driven Thin Films,
Physical Review Letters, vol. 93 no. 24
(December 10, 2004),
pp. 7803 [e247803]
 L. B. Smolka and A. Belmonte and D. M. Henderson and T.P. Witelski, Exact solution for the extensional flow of a viscoelastic filament,
European Journal of Applied Mathematics, vol. 15 no. 6
(2005),
pp. 679712 [abs]
 T.P. Witelski, Motion of wetting fronts moving into partially prewet soil,
Advances in Water Resources, vol. 28 no. 10
(2005),
pp. 11331141 [006]
 R. P. Haskett, T. P. Witelski, and J. Sur, Localized Marangoni forcing in driven thin films,
Physica D, vol. 209 no. 14
(September, 2005),
pp. 117134 [019]
 K. B. Glasner and T.P. Witelski, Collision vs. collapse of droplets in coarsening of dewetting thin films,
Physica D, vol. 209 no. 14
(September, 2005),
pp. 80104 [010]
 R. Fetzer, K. Jacobs, A.Munch, B. Wagner, T.P. Witelski, New slip regimes and the shape of dewetting thin liquid films,
Physical Review Letters, vol. 95 no. 12
(September, 2005),
pp. 127801 [PhysRevLett.95.127801]
 A. Munch and B. Wagner and T.P. Witelski, Lubrication models with small to large slip lengths,
Journal of Engineering Mathematics, vol. 53 no. 34
(December, 2005),
pp. 259283 [contribution.asp]
 T.P. Witelski and S.W. Rienstra, Introduction to Practical Asymptotics III,
Journal of Engineering Mathematics, vol. 53 no. 34
(December, 2005),
pp. 199199 [contribution.asp] [abs]
 Mark Bowen and Thomas P. Witelski, The linear limit of the dipole problem for the thin film equation,
SIAM journal on applied mathematics, vol. 66 no. 5
(2006),
pp. 17271748 [050637832]
 T.P. Witelski, R. Levy and M. Shearer, Growing surfactant waves in thin liquid films driven by gravity,
Applied Mathematics Research Express, vol. 2006 no. 15487
(2006),
pp. 121 [15487]
 R. Levy,M. Shearer and T.P. Witelski, Gravitydriven thin liquid films with insoluble surfactant: smooth traveling waves,
European Journal of Applied Mathematics, vol. 18 no. 6
(2006),
pp. 679708 [S0956792507007218]
 David G. Schaeffer, Michael Shearer and T.P. Witelski, Boundaryvalue problems for hyperbolic PDE related to steady granular flow,
Mathematics and Mechanics of Solids, vol. 12 no. 6
(2007),
pp. 665699 [1081286506067325]
 M.B. Gratton and T.P. Witelski, Coarsening of dewetting thin films subject to gravity,
Physical Review E, vol. 77 no. 016301
(2008),
pp. 111 [e016301]
 A.J. Catlla, D.G. Schaeffer, T.P. Witelski, E. E. Monson, A. L. Lin, On spiking models for synaptic activity and impulsive differential equations,
SIAM Review, vol. 50 no. 3
(2008),
pp. 553569 [553]
 S. T. Santillian, R. H. Plaut, T. P. Witelski, L. N. Virgin, Large oscillations of beams and columns including selfweight,
International Journal of Nonlinear mechanics, vol. 43 no. 8
(2008),
pp. 761771, ISSN 00207462 [007]
 M. Aguareles, S. J. Chapman, T.P. Witelski, Interaction of spiral waves in the Complex GinzburgLandau equation,
Physical Review Letters, vol. 101 no. 224101
(2008) (doi:10.1103/PhysRevLett.101.224101.) [e224101]
 DiCarlo DA, Juanes R, LaForce T, Witelski TP, Nonmonotonic traveling wave solutions of infiltration into porous media,
Water Resources Research, vol. 44 no. 2
(February, 2008),
pp. W02406, ISSN 00431397 [2007WR005975]
 T.P. Witelski and M. Bowen, Singular perturbation theory,
Scholarpedia, vol. 4 no. 4
(2009),
pp. 3951 [Singular_perturbation_theory]
 M. B. Gratton and T.P. Witelski, Transient and selfsimilar dynamics in thin film coarsening,
Physica D, vol. 238 no. 2324
(2009),
pp. 23802394 [015]
 L. B. Smolka and T. P. Witelski, On the planar extensional motion of an inertially driven liquid sheet,
Physics of Fluids, vol. 21 no. 4
(2009),
pp. 042101 [042101]
 H.J. Hwang and T.P. Witelski, Shorttime Pattern formation in thin film equations,
Discrete and Continuous Dynamical Systems A, vol. 23 no. 3
(March, 2009),
pp. 867885, ISSN 10780947 (doi: 10.3934/dcds.2009.23.867.) [displayArticles.jsp]
 T.P. Witelski, The subtle art of blowing bubbles (News and Views: Fluid Dynamics),
Nature Physics, vol. 5
(May, 2009),
pp. 315316 (doi:10.1038/nphys1265.) [=NDgyMTgzMzQS1&mt=1&rt=0]
 A.J.Bernoff and T.P. Witelski, Stability and dynamics of selfsimilarity in evolution equations,
Journal of Engineering Mathematics, vol. 66 no. 13
(March, 2010),
pp. 1131, ISSN 15732703 [s1066500993098]
 M. Aguareles, S. J. Chapman, T. Witelski, Motion of spiral waves in the complex Ginzburgâ€“Landau equation,
Physica D, vol. 239 no. 7
(April, 2010),
pp. 348365 [003]
 C. Breward, E. Aydemir, T.P. Witelski, The effect of polar lipids on tear film dynamics,
Bulletin of Mathematical Biology, vol. 73
(2011),
pp. 11711201 [doi]
 R. Wiebe, L.N. Virgin, T. P. Witelski, A parametrically forced nonlinear system with reversible equilibria,
International Journal of Bifurcation and Chaos, vol. 22 no. 6
(2012),
pp. 1230020 [doi]
 Y. Huang, T.P. Witelski, A. L. Bertozzi, Anomalous exponents of selfsimilar blowup solutions to an aggregation equation in odd dimensions,
Applied Mathematics Letters, vol. 25 no. 12
(2012),
pp. 23172321 [doi]
 T.P. Witelski, D. Ambrose, A. Bertozzi, A. Layton, ZL. Li, M. Minion, Preface: special issue on fluid dynamics, analysis and numerics,
Discrete and Continuous Dynamical Systems Series B, vol. 17 no. 4
(June, 2012),
pp. iii
 S.J.Chapman, P.H.Trinh and T.P. Witelski, Exponential asymptotics for thin film rupture,
SIAM Journal on Applied Mathematics, vol. 73 no. 1
(2013),
pp. 232253 [120872012], [doi]
 L.B.Smolka and T.P. Witelski, Biaxial extensional motion of an inertially driven radiallyexpanding liquid sheet,
Physics of Fluids, vol. 25 no. 062105
(2013) [doi]
 N.S. Hall Taylor, I.J. Hewitt, J.R. Ockendon, T.P. Witelski, A new model for disturbance waves,
International Journal of Multiphase Flow, vol. 66
(2014),
pp. 3845 [doi]
 T.P. Witelski, L.N. Virgin, C. George, A driven system of impacting pendulums: Experiments and simulations,
Journal of Sound and Vibration, vol. 333 no. 6
(March, 2014),
pp. 17341753 [doi]
