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Witelski, Thomas P.

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Author ID: witelski.thomas-p Recent zbMATH articles by "Witelski, Thomas P."
Published as: Witelski, Thomas P.; Witelski, T. P.; Witelski, Thomas; Witelski, T.
Documents Indexed: 62 Publications since 1994, including 1 Book

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 524 times in 372 Documents Cited by Year
ADI schemes for higher-order nonlinear diffusion equations. Zbl 1061.76051
Witelski, T. P.; Bowen, M.
43
2003
Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff. Zbl 0951.74007
Bernoff, Andrew J.; Bertozzi, Andrea L.; Witelski, Thomas P.
41
1998
Stability of self-similar solutions for van der Waals driven thin film rupture. Zbl 1149.76588
Witelski, Thomas P.; Bernoff, Andrew J.
37
1999
Dynamics of three-dimensional thin film rupture. Zbl 0992.76013
Witelski, Thomas P.; Bernoff, Andrew J.
33
2000
Dewetting films: Bifurcations and concentrations. Zbl 1006.35049
Bertozzi, A. L.; Grün, G.; Witelski, T. P.
32
2001
Self-similar asymptotics for linear and nonlinear diffusion equations. Zbl 1001.35056
Witelski, Thomas P.; Bernoff, Andrew J.
31
1998
Rupture of thin viscous films by Van der waals forces: evolution and self-similarity. Zbl 1184.76571
Vaynblat, Dimitri; Lister, John R.; Witelski, Thomas P.
27
2001
Lubrication models with small to large slip lengths. Zbl 1158.76321
Münch, A.; Wagner, B. A.; Witelski, T. P.
20
2005
Collision versus collapse of droplets in coarsening of dewetting thin films. Zbl 1076.76073
Glasner, K. B.; Witelski, T. P.
17
2005
On spiking models for synaptic activity and impulsive differential equations. Zbl 1166.34004
Catllá, Anne J.; Schaeffer, David G.; Witelski, Thomas P.; Monson, Eric E.; Lin, Anna L.
17
2008
Blowup and dissipation in a critical-case unstable thin film equation. Zbl 1062.76005
Witelski, T. P.; Bernoff, A. J.; Bertozzi, A. L.
17
2004
Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves. Zbl 1137.76011
Levy, Rachel; Shearer, Michael; Witelski, Thomas P.
16
2007
Segregation and mixing in degenerate diffusion in population dynamics. Zbl 0885.92031
Witelski, Thomas P.
15
1997
Merging traveling waves for the porous-Fisher’s equation. Zbl 0830.35055
Witelski, T. P.
13
1995
Shock formation in a multidimensional viscoelastic diffusive system. Zbl 0817.35040
Cohen, Donald S.; White, Andrew B. jun.; Witelski, Thomas P.
12
1995
Linear stability of source-type similarity solutions of the thin film equation. Zbl 1016.76031
Bernoff, A. J.; Witelski, T. P.
11
2002
The effect of polar lipids on tear film dynamics. Zbl 1215.92025
Aydemir, E.; Breward, C. J. W.; Witelski, T. P.
10
2011
Stability and dynamics of self-similarity in evolution equations. Zbl 1194.35091
Bernoff, Andrew J.; Witelski, Thomas P.
9
2010
A discrete model for an ill-posed nonlinear parabolic PDE. Zbl 0989.65111
Witelski, Thomas P.; Schaeffer, David G.; Shearer, Michael
9
2001
On spherically symmetric gravitational collapse. Zbl 0933.35160
Brenner, Michael P.; Witelski, Thomas P.
8
1998
Symmetry and self-similarity in rupture and pinchoff: A geometric bifurcation. Zbl 1011.76068
Vaynblat, Dimitri; Lister, John R.; Witelski, Thomas P.
7
2001
Critical wave speeds for a family of scalar reaction-diffusion equations. Zbl 0981.35025
Witelski, T. P.; Ono, K.; Kaper, T. J.
6
2001
An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher’s equation. Zbl 0811.92002
Witelski, Thomas P.
6
1994
Exponential asymptotics for thin film rupture. Zbl 1272.34121
Chapman, S. Jonathan; Trinh, Philippe H.; Witelski, Thomas P.
6
2013
The linear limit of the dipole problem for the thin film equation. Zbl 1113.35106
Bowen, Mark; Witelski, Thomas P.
6
2006
Finite-time thin film rupture driven by modified evaporative loss. Zbl 1378.76012
Ji, Hangjie; Witelski, Thomas P.
6
2017
Stopping and merging problems for the porous media equation. Zbl 0840.35050
Witelski, Thomas P.
5
1995
Shocks in nonlinear diffusion. Zbl 0838.35057
Witelski, T. P.
5
1995
Growing surfactant waves in thin liquid films driven by gravity. Zbl 1109.76011
Witelski, Thomas P.; Shearer, Michael; Levy, Rachel
5
2006
Computing finite-time singularities in interfacial flows. Zbl 1053.76026
Witelski, Thomas P.
5
2002
Flow and fouling in a pleated membrane filter. Zbl 1359.76283
Sanaei, P.; Richardson, G. W.; Witelski, T.; Cummings, L. J.
5
2016
The structure of internal layers for unstable nonlinear diffusion equations. Zbl 0860.76087
Witelski, Thomas P.
4
1996
Exact solution for the extensional flow of a viscoelastic filament. Zbl 1160.76309
Smolka, Linda B.; Belmonte, Andrew; Henderson, Diane M.; Witelski, Thomas P.
4
2004
Localized Marangoni forcing in driven thin films. Zbl 1142.76334
Haskett, Ryan P.; Witelski, Thomas P.; Sur, Jeanman
3
2005
Intermediate asymptotics for Richards’ equation in a finite layer. Zbl 1032.76693
Witelski, Thomas P.
3
2003
Similarity solutions of the lubrication equation. Zbl 0891.35048
Witelski, T. P.
3
1997
A theory of pad conditioning for chemical-mechanical polishing. Zbl 1073.74027
Borucki, Leonard J.; Witelski, Thomas; Please, Colin; Kramer, Peter R.; Schwendeman, Donald
3
2004
Motion of spiral waves in the complex Ginzburg-Landau equation. Zbl 1192.37103
Aguareles, M.; Chapman, S. J.; Witelski, T.
3
2010
Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions. Zbl 1252.65210
Huang, Y.; Witelski, T. P.; Bertozzi, A. L.
3
2012
Transient and self-similar dynamics in thin film coarsening. Zbl 1183.37142
Gratton, Michael B.; Witelski, Thomas P.
3
2009
Forbidden regions for shock formation in diffusive systems. Zbl 0834.76083
Witelski, Thomas P.; Cohen, Donald S.
2
1995
On the planar extensional motion of an inertially driven liquid sheet. Zbl 1183.76488
Smolka, Linda B.; Witelski, Thomas P.
2
2009
Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness. Zbl 1095.74009
Shearer, Michael; Schaeffer, David G.; Witelski, Thomas P.
2
2003
Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation. Zbl 0941.35041
Witelski, T. P.
2
1998
On axisymmetric traveling waves and radial solutions of semilinear elliptic equations. Zbl 1002.34020
Witelski, Thomas P.; Ono, Kinya; Kaper, Tasso J.
2
2000
Large oscillations of beams and columns including self-weight. Zbl 1203.74086
Santillan, S. T.; Plaut, R. H.; Witelski, T. P.; Virgin, L. N.
1
2008
A vicinal surface model for epitaxial growth with logarithmic free energy. Zbl 1403.35123
Gao, Yuan; Ji, Hangjie; Liu, Jian-Guo; Witelski, Thomas P.
1
2018
Perturbed reversible systems. Zbl 1020.34508
Witelski, T. P.; Cohen, D. S.
1
1995
Stability of traveling waves in thin liquid films driven by gravity and surfactant. Zbl 1197.35046
Peterson, Ellen; Shearer, Michael; Witelski, Thomas P.; Lévy, Rachel
1
2009
Boundary value problems for hyperbolic equations related to steady granular flow. Zbl 1138.74015
Schaeffer, David G.; Shearer, Michael; Witelski, Thomas P.
1
2007
A vicinal surface model for epitaxial growth with logarithmic free energy. Zbl 1403.35123
Gao, Yuan; Ji, Hangjie; Liu, Jian-Guo; Witelski, Thomas P.
1
2018
Finite-time thin film rupture driven by modified evaporative loss. Zbl 1378.76012
Ji, Hangjie; Witelski, Thomas P.
6
2017
Flow and fouling in a pleated membrane filter. Zbl 1359.76283
Sanaei, P.; Richardson, G. W.; Witelski, T.; Cummings, L. J.
5
2016
Exponential asymptotics for thin film rupture. Zbl 1272.34121
Chapman, S. Jonathan; Trinh, Philippe H.; Witelski, Thomas P.
6
2013
Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions. Zbl 1252.65210
Huang, Y.; Witelski, T. P.; Bertozzi, A. L.
3
2012
The effect of polar lipids on tear film dynamics. Zbl 1215.92025
Aydemir, E.; Breward, C. J. W.; Witelski, T. P.
10
2011
Stability and dynamics of self-similarity in evolution equations. Zbl 1194.35091
Bernoff, Andrew J.; Witelski, Thomas P.
9
2010
Motion of spiral waves in the complex Ginzburg-Landau equation. Zbl 1192.37103
Aguareles, M.; Chapman, S. J.; Witelski, T.
3
2010
Transient and self-similar dynamics in thin film coarsening. Zbl 1183.37142
Gratton, Michael B.; Witelski, Thomas P.
3
2009
On the planar extensional motion of an inertially driven liquid sheet. Zbl 1183.76488
Smolka, Linda B.; Witelski, Thomas P.
2
2009
Stability of traveling waves in thin liquid films driven by gravity and surfactant. Zbl 1197.35046
Peterson, Ellen; Shearer, Michael; Witelski, Thomas P.; Lévy, Rachel
1
2009
On spiking models for synaptic activity and impulsive differential equations. Zbl 1166.34004
Catllá, Anne J.; Schaeffer, David G.; Witelski, Thomas P.; Monson, Eric E.; Lin, Anna L.
17
2008
Large oscillations of beams and columns including self-weight. Zbl 1203.74086
Santillan, S. T.; Plaut, R. H.; Witelski, T. P.; Virgin, L. N.
1
2008
Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves. Zbl 1137.76011
Levy, Rachel; Shearer, Michael; Witelski, Thomas P.
16
2007
Boundary value problems for hyperbolic equations related to steady granular flow. Zbl 1138.74015
Schaeffer, David G.; Shearer, Michael; Witelski, Thomas P.
1
2007
The linear limit of the dipole problem for the thin film equation. Zbl 1113.35106
Bowen, Mark; Witelski, Thomas P.
6
2006
Growing surfactant waves in thin liquid films driven by gravity. Zbl 1109.76011
Witelski, Thomas P.; Shearer, Michael; Levy, Rachel
5
2006
Lubrication models with small to large slip lengths. Zbl 1158.76321
Münch, A.; Wagner, B. A.; Witelski, T. P.
20
2005
Collision versus collapse of droplets in coarsening of dewetting thin films. Zbl 1076.76073
Glasner, K. B.; Witelski, T. P.
17
2005
Localized Marangoni forcing in driven thin films. Zbl 1142.76334
Haskett, Ryan P.; Witelski, Thomas P.; Sur, Jeanman
3
2005
Blowup and dissipation in a critical-case unstable thin film equation. Zbl 1062.76005
Witelski, T. P.; Bernoff, A. J.; Bertozzi, A. L.
17
2004
Exact solution for the extensional flow of a viscoelastic filament. Zbl 1160.76309
Smolka, Linda B.; Belmonte, Andrew; Henderson, Diane M.; Witelski, Thomas P.
4
2004
A theory of pad conditioning for chemical-mechanical polishing. Zbl 1073.74027
Borucki, Leonard J.; Witelski, Thomas; Please, Colin; Kramer, Peter R.; Schwendeman, Donald
3
2004
ADI schemes for higher-order nonlinear diffusion equations. Zbl 1061.76051
Witelski, T. P.; Bowen, M.
43
2003
Intermediate asymptotics for Richards’ equation in a finite layer. Zbl 1032.76693
Witelski, Thomas P.
3
2003
Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness. Zbl 1095.74009
Shearer, Michael; Schaeffer, David G.; Witelski, Thomas P.
2
2003
Linear stability of source-type similarity solutions of the thin film equation. Zbl 1016.76031
Bernoff, A. J.; Witelski, T. P.
11
2002
Computing finite-time singularities in interfacial flows. Zbl 1053.76026
Witelski, Thomas P.
5
2002
Dewetting films: Bifurcations and concentrations. Zbl 1006.35049
Bertozzi, A. L.; Grün, G.; Witelski, T. P.
32
2001
Rupture of thin viscous films by Van der waals forces: evolution and self-similarity. Zbl 1184.76571
Vaynblat, Dimitri; Lister, John R.; Witelski, Thomas P.
27
2001
A discrete model for an ill-posed nonlinear parabolic PDE. Zbl 0989.65111
Witelski, Thomas P.; Schaeffer, David G.; Shearer, Michael
9
2001
Symmetry and self-similarity in rupture and pinchoff: A geometric bifurcation. Zbl 1011.76068
Vaynblat, Dimitri; Lister, John R.; Witelski, Thomas P.
7
2001
Critical wave speeds for a family of scalar reaction-diffusion equations. Zbl 0981.35025
Witelski, T. P.; Ono, K.; Kaper, T. J.
6
2001
Dynamics of three-dimensional thin film rupture. Zbl 0992.76013
Witelski, Thomas P.; Bernoff, Andrew J.
33
2000
On axisymmetric traveling waves and radial solutions of semilinear elliptic equations. Zbl 1002.34020
Witelski, Thomas P.; Ono, Kinya; Kaper, Tasso J.
2
2000
Stability of self-similar solutions for van der Waals driven thin film rupture. Zbl 1149.76588
Witelski, Thomas P.; Bernoff, Andrew J.
37
1999
Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff. Zbl 0951.74007
Bernoff, Andrew J.; Bertozzi, Andrea L.; Witelski, Thomas P.
41
1998
Self-similar asymptotics for linear and nonlinear diffusion equations. Zbl 1001.35056
Witelski, Thomas P.; Bernoff, Andrew J.
31
1998
On spherically symmetric gravitational collapse. Zbl 0933.35160
Brenner, Michael P.; Witelski, Thomas P.
8
1998
Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation. Zbl 0941.35041
Witelski, T. P.
2
1998
Segregation and mixing in degenerate diffusion in population dynamics. Zbl 0885.92031
Witelski, Thomas P.
15
1997
Similarity solutions of the lubrication equation. Zbl 0891.35048
Witelski, T. P.
3
1997
The structure of internal layers for unstable nonlinear diffusion equations. Zbl 0860.76087
Witelski, Thomas P.
4
1996
Merging traveling waves for the porous-Fisher’s equation. Zbl 0830.35055
Witelski, T. P.
13
1995
Shock formation in a multidimensional viscoelastic diffusive system. Zbl 0817.35040
Cohen, Donald S.; White, Andrew B. jun.; Witelski, Thomas P.
12
1995
Stopping and merging problems for the porous media equation. Zbl 0840.35050
Witelski, Thomas P.
5
1995
Shocks in nonlinear diffusion. Zbl 0838.35057
Witelski, T. P.
5
1995
Forbidden regions for shock formation in diffusive systems. Zbl 0834.76083
Witelski, Thomas P.; Cohen, Donald S.
2
1995
Perturbed reversible systems. Zbl 1020.34508
Witelski, T. P.; Cohen, D. S.
1
1995
An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher’s equation. Zbl 0811.92002
Witelski, Thomas P.
6
1994
all top 5

Cited by 603 Authors

26 Witelski, Thomas P.
10 Bertozzi, Andrea Louise
10 Kondic, Lou
10 Münch, Andreas
10 Simpson, Matthew J.
9 Braun, Richard J.
8 Wagner, Barbara A.
7 King, John Robert
7 Matar, Omar K.
6 Cummings, Linda J.
6 Lindsay, Alan E.
5 Bernoff, Andrew J.
5 Craster, Richard V.
5 Driscoll, Tobin A.
5 Glasner, Karl B.
5 Gnann, Manuel V.
5 McCue, Scott William
5 Motta, Monica
5 Rampazzo, Franco
5 Taranets, Roman M.
5 Wei, Guowei
4 Barrett, John W.
4 Diez, Javier Alberto
4 Escher, Joachim
4 Fontelos López, Marco Antonio
4 Galaktionov, Victor Aleksandrovich
4 Garcke, Harald
4 Guo, Zongming
4 Kalliadasis, Serafim
4 Kaper, Tasso J.
4 Kim, Junseok
4 King-Smith, P. Ewen
4 Li, Yibao
4 Lister, John R.
4 McCann, Robert J.
4 Nürnberg, Robert
4 Popović, Nikola
3 Aguareles, Maria
3 Aronna, María Soledad
3 Begley, Carolyn G.
3 Bendahmane, Mostafa
3 Bowen, Mark
3 Bürger, Raimund
3 Carrillo de la Plata, José Antonio
3 Dallaston, Michael Charles
3 Eggers, Jens G.
3 Ferreira, José Augusto
3 Griffiths, Ian M.
3 Ji, Hangjie
3 Kim, Yong Jung
3 Kitavtsev, Georgy
3 LeCrone, Jeremy S.
3 Lega, J.
3 Lin, Te-Sheng
3 Liu, Jianguo
3 Papageorgiou, Demetrios T.
3 Peschka, Dirk
3 Ruiz-Baier, Ricardo
3 Scheid, Benoit
3 Shearer, Michael
3 Stone, Howard Alvin
3 Thiele, Uwe
3 Tseluiko, Dmitri
3 Warner, Mark R. E.
3 Yang, Siyang
2 Álvarez-Caudevilla, Pablo
2 Awisi-Gyau, Deborah
2 Baker, Ruth Elizabeth
2 Bänsch, Eberhard
2 Bellettini, Giovanni
2 Bonforte, Matteo
2 Breward, Christopher J. W.
2 Broadbridge, Philip
2 Budd, Christopher John
2 Chapman, Stephen Jonathan
2 Chen, Xinfu
2 Chugunova, Marina A.
2 Cohen, Donald Sussman
2 Company, Rafael
2 Cook, L. Pamela
2 Dai, Shibin
2 Denzler, Jochen
2 DiPietro, Kelsey L.
2 Dolbeault, Jean
2 Du, Qiang
2 Duffy, Brian Reginald
2 Dzhokhadze, Otar Mikhajlovich
2 Egorova, Vera N.
2 El-Hachem, Maud
2 Evans, P. L.
2 Falcon, Claudia
2 Fitt, Alistair D.
2 Foster, Jamie M.
2 Gaffney, Eamonn A.
2 Ghazaryan, Anna
2 Giacomelli, Lorenzo
2 Gomba, J. M.
2 Gratton, Michael B.
2 Greer, John B.
2 Guo, Yan
...and 503 more Authors
all top 5

Cited in 112 Serials

39 Journal of Fluid Mechanics
29 Physics of Fluids
26 Journal of Engineering Mathematics
20 Journal of Computational Physics
18 Physica D
12 Applied Mathematics Letters
11 Journal of Mathematical Analysis and Applications
11 European Journal of Applied Mathematics
10 Bulletin of Mathematical Biology
10 Journal of Differential Equations
6 Studies in Applied Mathematics
6 Applied Numerical Mathematics
6 Discrete and Continuous Dynamical Systems
5 Nonlinearity
5 Applied Mathematics and Computation
5 Journal of Computational and Applied Mathematics
5 Multiscale Modeling & Simulation
4 Communications in Mathematical Physics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Communications in Partial Differential Equations
4 SIAM Journal on Applied Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
3 Applicable Analysis
3 Journal of Mathematical Biology
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Journal of Scientific Computing
3 Journal of Nonlinear Science
3 NoDEA. Nonlinear Differential Equations and Applications
3 European Journal of Mechanics. B. Fluids
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Computers and Fluids
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Mathematical Methods in the Applied Sciences
2 Advances in Mathematics
2 Applied Mathematics and Optimization
2 Numerische Mathematik
2 International Journal of Computer Mathematics
2 Mathematical Problems in Engineering
2 Chaos
2 Communications in Nonlinear Science and Numerical Simulation
2 SIAM Journal on Applied Dynamical Systems
2 Mathematical Biosciences and Engineering
2 Kinetic and Related Models
2 International Journal for Numerical Methods in Biomedical Engineering
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 Fluid Dynamics
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Biosciences
1 Wave Motion
1 Mathematics of Computation
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Calcolo
1 International Journal for Numerical Methods in Engineering
1 Journal of Functional Analysis
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 Computational Mathematics and Modeling
1 Japan Journal of Industrial and Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Applied Mathematical Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Non-Newtonian Fluid Mechanics
1 SIAM Journal on Mathematical Analysis
1 Stochastic Processes and their Applications
1 Journal of Dynamics and Differential Equations
1 SIAM Journal on Scientific Computing
1 Calculus of Variations and Partial Differential Equations
1 Mathematics and Mechanics of Solids
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Natural Resource Modeling
1 Interfaces and Free Boundaries
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Qualitative Theory of Dynamical Systems
1 The ANZIAM Journal
1 Differential Equations
1 Nonlinear Analysis. Modelling and Control
1 Journal of Evolution Equations
1 Quantitative Finance
1 Advanced Nonlinear Studies
...and 12 more Serials

Citations by Year