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## Bernoff, Andrew J.

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 Author ID: bernoff.andrew-j Published as: Bernoff, A. J.; Bernoff, Andrew; Bernoff, Andrew J.
 Documents Indexed: 35 Publications since 1988
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#### Co-Authors

 3 single-authored 7 Witelski, Thomas P. 4 Lichter, Seth 4 Lingevitch, Joseph F. 4 Topaz, Chad M. 3 Bertozzi, Andrea Louise 3 Lindsay, Alan E. 2 Alexander, James Crew 2 Mann, Elizabeth K. 2 Mann, J. Adin jun. 2 Rossi, Louis F. 2 Sarocka, David C. 2 Zou, Lu 1 Atassi, Oliver V. 1 Ayanle, Hassan 1 Donnelly, T. D. 1 Forrest, Bruce M. 1 Hogan, John Wesley 1 Kuske, Rachel A. 1 Kwok, L. P. 1 Latini, Marco 1 Leverentz, Andrew J. 1 Matkowsky, Bernard J. 1 Miller, Joel C. 1 Mugler, Andrew 1 Schmidt, Daniel D. 1 Schommer, N. 1 Schubmehl, M. 1 Sternberg, Peter J. 1 van Dongen, Harald J. H. M. 1 Volpert, Vladimir A. 1 Ward, Michael J. 1 Wintersmith, Jacob R.
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#### Serials

 7 Physica D 7 Physics of Fluids 4 Journal of Fluid Mechanics 3 SIAM Journal on Applied Dynamical Systems 2 Studies in Applied Mathematics 2 European Journal of Applied Mathematics 2 SIAM Journal on Applied Mathematics 2 Multiscale Modeling & Simulation 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Physics of Fluids, A 1 Applied Mathematics Letters 1 SIAM Review
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#### Fields

 23 Fluid mechanics (76-XX) 15 Partial differential equations (35-XX) 4 Integral equations (45-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 513 times in 389 Documents Cited by Year
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
2011
Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff. Zbl 0951.74007
Bernoff, Andrew J.; Bertozzi, Andrea L.; Witelski, Thomas P.
1998
Onset of superconductivity in decreasing fields for general domains. Zbl 1056.82523
Bernoff, Andrew; Sternberg, Peter
1998
Stability of self-similar solutions for van der Waals driven thin film rupture. Zbl 1149.76588
Witelski, Thomas P.; Bernoff, Andrew J.
1999
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
2009
Rapid relaxation of an axisymmetric vortex. Zbl 0838.76024
Bernoff, Andrew J.; Lingevitch, Joseph F.
1994
Dynamics of three-dimensional thin film rupture. Zbl 0992.76013
Witelski, Thomas P.; Bernoff, Andrew J.
2000
Self-similar asymptotics for linear and nonlinear diffusion equations. Zbl 1001.35056
Witelski, Thomas P.; Bernoff, Andrew J.
1998
Transient anomalous diffusion in Poiseuille flow. Zbl 1008.76086
Latini, Marco; Bernoff, Andrew J.
2001
Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition. Zbl 0899.76190
Bernoff, Andrew J.; Bertozzi, Andrea L.
1995
Slowly varying fully nonlinear wavetrains in the Ginzburg-Landau equation. Zbl 0642.76019
Bernoff, Andrew J.
1988
Blowup and dissipation in a critical-case unstable thin film equation. Zbl 1062.76005
Witelski, T. P.; Bernoff, A. J.; Bertozzi, A. L.
2004
Quasi-steady monopole and tripole attractors for relaxing vortices. Zbl 1185.76505
Rossi, Louis F.; Lingevitch, Joseph F.; Bernoff, Andrew J.
1997
First passage statistics for the capture of a Brownian particle by a structured spherical target with multiple surface traps. Zbl 1372.35021
Lindsay, Alan E.; Bernoff, Andrew J.; Ward, Michael J.
2017
Nonlocal aggregation models: a primer of swarm equilibria. Zbl 1282.35003
Bernoff, Andrew J.; Topaz, Chad M.
2013
Rates of convergence to self-similar solutions of Burgers’ equation. Zbl 1141.35451
Miller, Joel C.; Bernoff, Andrew J.
2003
Linear stability of source-type similarity solutions of the thin film equation. Zbl 1016.76031
Bernoff, A. J.; Witelski, T. P.
2002
Stability and dynamics of self-similarity in evolution equations. Zbl 1194.35091
Bernoff, Andrew J.; Witelski, Thomas P.
2010
Distortion and evolution of a localized vortex in an irrotational flow. Zbl 1023.76517
Lingevitch, Joseph F.; Bernoff, Andrew J.
1995
An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt. Zbl 0900.76696
Sarocka, David C.; Bernoff, Andrew J.
1995
Advection of a passive scalar by a vortex couple in the small-diffusion limit. Zbl 0841.76081
Lingevitch, Joseph F.; Bernoff, Andrew J.
1994
Finite amplitude convection between stress-free boundaries; Ginzburg- Landau equations and modulation theory. Zbl 0819.76029
Bernoff, Andrew J.
1994
Spiral wave solutions for reaction-diffusion equations in a fast reaction/slow diffusion limit. Zbl 0744.35057
Bernoff, Andrew J.
1991
Boundary homogenization and capture time distributions of semipermeable membranes with periodic patterns of reactive sites. Zbl 1403.35030
Bernoff, Andrew J.; Lindsay, Alan E.; Schmidt, Daniel D.
2018
Numerical approximation of diffusive capture rates by planar and spherical surfaces with absorbing pores. Zbl 1406.35026
Bernoff, Andrew J.; Lindsay, Alan E.
2018
Viscous cross-waves: An analytical treatment. Zbl 0667.76059
Bernoff, Andrew J.; Kwok, L. P.; Lichter, Seth
1989
Biological aggregation driven by social and environmental factors: a nonlocal model and its degenerate Cahn-Hilliard approximation. Zbl 1351.35228
Bernoff, Andrew J.; Topaz, Chad M.
2016
Mean field effects for counterpropagating traveling wave solutions of reaction-diffusion systems. Zbl 0822.35067
Bernoff, A. J.; Kuske, R.; Matkowsky, B. J.; Volpert, V.
1995
An experimental study of micron-scale droplet aerosols produced via ultrasonic atomization. Zbl 1186.76147
Donnelly, T. D.; Hogan, J.; Mugler, A.; Schommer, N.; Schubmehl, M.; Bernoff, Andrew J.; Forrest, B.
2004
Large-amplitude solutions to the Sivashinsky and Riley-Davis equations for directional solidification. Zbl 0949.76088
Sarocka, David C.; Bernoff, Andrew J.; Rossi, Louis F.
1999
Domain relaxation in Langmuir films. Zbl 1120.76009
Alexander, James C.; Bernoff, Andrew J.; Mann, Elizabeth K.; Mann, J. Adin jun.; Wintersmith, Jacob R.; Zou, Lu
2007
Hole dynamics in polymer Langmuir films. Zbl 1185.76436
Alexander, James C.; Bernoff, Andrew J.; Mann, Elizabeth K.; Mann, J. Adin jun.; Zou, Lu
2006
The interaction of a point vortex with a wall-bounded vortex layer. Zbl 0902.76018
Atassi, Oliver V.; Bernoff, Andrew J.; Lichter, Seth
1997
Boundary homogenization and capture time distributions of semipermeable membranes with periodic patterns of reactive sites. Zbl 1403.35030
Bernoff, Andrew J.; Lindsay, Alan E.; Schmidt, Daniel D.
2018
Numerical approximation of diffusive capture rates by planar and spherical surfaces with absorbing pores. Zbl 1406.35026
Bernoff, Andrew J.; Lindsay, Alan E.
2018
First passage statistics for the capture of a Brownian particle by a structured spherical target with multiple surface traps. Zbl 1372.35021
Lindsay, Alan E.; Bernoff, Andrew J.; Ward, Michael J.
2017
Biological aggregation driven by social and environmental factors: a nonlocal model and its degenerate Cahn-Hilliard approximation. Zbl 1351.35228
Bernoff, Andrew J.; Topaz, Chad M.
2016
Nonlocal aggregation models: a primer of swarm equilibria. Zbl 1282.35003
Bernoff, Andrew J.; Topaz, Chad M.
2013
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
2011
Stability and dynamics of self-similarity in evolution equations. Zbl 1194.35091
Bernoff, Andrew J.; Witelski, Thomas P.
2010
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
2009
Domain relaxation in Langmuir films. Zbl 1120.76009
Alexander, James C.; Bernoff, Andrew J.; Mann, Elizabeth K.; Mann, J. Adin jun.; Wintersmith, Jacob R.; Zou, Lu
2007
Hole dynamics in polymer Langmuir films. Zbl 1185.76436
Alexander, James C.; Bernoff, Andrew J.; Mann, Elizabeth K.; Mann, J. Adin jun.; Zou, Lu
2006
Blowup and dissipation in a critical-case unstable thin film equation. Zbl 1062.76005
Witelski, T. P.; Bernoff, A. J.; Bertozzi, A. L.
2004
An experimental study of micron-scale droplet aerosols produced via ultrasonic atomization. Zbl 1186.76147
Donnelly, T. D.; Hogan, J.; Mugler, A.; Schommer, N.; Schubmehl, M.; Bernoff, Andrew J.; Forrest, B.
2004
Rates of convergence to self-similar solutions of Burgers’ equation. Zbl 1141.35451
Miller, Joel C.; Bernoff, Andrew J.
2003
Linear stability of source-type similarity solutions of the thin film equation. Zbl 1016.76031
Bernoff, A. J.; Witelski, T. P.
2002
Transient anomalous diffusion in Poiseuille flow. Zbl 1008.76086
Latini, Marco; Bernoff, Andrew J.
2001
Dynamics of three-dimensional thin film rupture. Zbl 0992.76013
Witelski, Thomas P.; Bernoff, Andrew J.
2000
Stability of self-similar solutions for van der Waals driven thin film rupture. Zbl 1149.76588
Witelski, Thomas P.; Bernoff, Andrew J.
1999
Large-amplitude solutions to the Sivashinsky and Riley-Davis equations for directional solidification. Zbl 0949.76088
Sarocka, David C.; Bernoff, Andrew J.; Rossi, Louis F.
1999
Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff. Zbl 0951.74007
Bernoff, Andrew J.; Bertozzi, Andrea L.; Witelski, Thomas P.
1998
Onset of superconductivity in decreasing fields for general domains. Zbl 1056.82523
Bernoff, Andrew; Sternberg, Peter
1998
Self-similar asymptotics for linear and nonlinear diffusion equations. Zbl 1001.35056
Witelski, Thomas P.; Bernoff, Andrew J.
1998
Quasi-steady monopole and tripole attractors for relaxing vortices. Zbl 1185.76505
Rossi, Louis F.; Lingevitch, Joseph F.; Bernoff, Andrew J.
1997
The interaction of a point vortex with a wall-bounded vortex layer. Zbl 0902.76018
Atassi, Oliver V.; Bernoff, Andrew J.; Lichter, Seth
1997
Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition. Zbl 0899.76190
Bernoff, Andrew J.; Bertozzi, Andrea L.
1995
Distortion and evolution of a localized vortex in an irrotational flow. Zbl 1023.76517
Lingevitch, Joseph F.; Bernoff, Andrew J.
1995
An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt. Zbl 0900.76696
Sarocka, David C.; Bernoff, Andrew J.
1995
Mean field effects for counterpropagating traveling wave solutions of reaction-diffusion systems. Zbl 0822.35067
Bernoff, A. J.; Kuske, R.; Matkowsky, B. J.; Volpert, V.
1995
Rapid relaxation of an axisymmetric vortex. Zbl 0838.76024
Bernoff, Andrew J.; Lingevitch, Joseph F.
1994
Advection of a passive scalar by a vortex couple in the small-diffusion limit. Zbl 0841.76081
Lingevitch, Joseph F.; Bernoff, Andrew J.
1994
Finite amplitude convection between stress-free boundaries; Ginzburg- Landau equations and modulation theory. Zbl 0819.76029
Bernoff, Andrew J.
1994
Spiral wave solutions for reaction-diffusion equations in a fast reaction/slow diffusion limit. Zbl 0744.35057
Bernoff, Andrew J.
1991
Viscous cross-waves: An analytical treatment. Zbl 0667.76059
Bernoff, Andrew J.; Kwok, L. P.; Lichter, Seth
1989
Slowly varying fully nonlinear wavetrains in the Ginzburg-Landau equation. Zbl 0642.76019
Bernoff, Andrew J.
1988
all top 5

#### Cited by 567 Authors

 17 Bernoff, Andrew J. 16 Carrillo de la Plata, José Antonio 11 Bedrossian, Jacob 11 Fetecau, Razvan C. 10 Witelski, Thomas P. 9 Helffer, Bernard 9 Lindsay, Alan E. 7 Almog, Yaniv 7 Gilbert, Andrew D. 7 Kolokolnikov, Theodore 6 Bertozzi, Andrea Louise 6 Fournais, Søren 6 Golovin, Alexander A. 6 Huang, Yanghong 6 Lawley, Sean D. 6 Nepomnyashchy, Alexander A. 5 Bonnaillie-Noël, Virginie 5 Coti Zelati, Michele 5 Pan, Xingbin 5 Topaloglu, Ihsan 5 von Brecht, James H. 4 Barrett, John W. 4 Choksi, Rustum 4 Galaktionov, Victor Aleksandrovich 4 Garcke, Harald 4 Gnann, Manuel V. 4 Guo, Zongming 4 Holcman, David 4 King, John Robert 4 Liu, Jianguo 4 Masmoudi, Nader 4 Matar, Omar K. 4 McCann, Robert J. 4 Morame, Abderemane 4 Nürnberg, Robert 4 Raymond, Nicolas 4 Taranets, Roman M. 4 Turner, Matthew R. 4 Uminsky, David T. 4 Vicol, Vlad C. 4 Ward, Michael J. 3 Bassom, Andrew P. 3 Bétermin, Laurent 3 Burger, Martin 3 Düring, Bertram 3 Evers, Joep H. M. 3 Fontelos López, Marco Antonio 3 Kalliadasis, Serafim 3 Kim, Yong Jung 3 Kreusser, Lisa Maria 3 LeCrone, Jeremy S. 3 Lega, J. 3 Lichter, Seth 3 Lingevitch, Joseph F. 3 Lister, John R. 3 Matkowsky, Bernard J. 3 Münch, Andreas 3 Popoff, Nicolas 3 Rossi, Maurice 3 Schönlieb, Carola-Bibiane 3 Slepčev, Dejan 3 Sun, Weiran 3 Tseluiko, Dmitri 3 Vazquez, Juan Luis 3 Wagner, Barbara A. 3 Wayne, Clarence Eugene 3 Wei, Juncheng 2 Balagué, Daniel 2 Bänsch, Eberhard 2 Barba, Lorena A. 2 Barkley, Dwight 2 Bolster, Diogo T. 2 Bonforte, Matteo 2 Broadbridge, Philip 2 Bruus, Henrik 2 Burchard, Almut 2 Cartailler, J. 2 Chen, Xinfu 2 Chung, Jaywan 2 Craig, Katy 2 Craster, Richard V. 2 Cunden, Fabio Deelan 2 Dallaston, Michael Charles 2 Dauge, Monique 2 Davis, Stephen Howard 2 Delgadino, Matias Gonzalo 2 Dentz, Marco 2 Denzler, Jochen 2 DiPietro, Kelsey L. 2 Doelman, Arjen 2 Dolbeault, Jean 2 Du, Qiang 2 Ducrot, Arnaud 2 Dzhokhadze, Otar Mikhajlovich 2 Eftimie, Raluca 2 Eggers, Jens G. 2 Elgindi, Tarek Mohamed 2 Facchi, Paolo 2 Fu, Xiaoming 2 Gallay, Thierry ...and 467 more Authors
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#### Cited in 101 Serials

 36 Physics of Fluids 33 Journal of Fluid Mechanics 32 Physica D 14 Journal of Mathematical Physics 13 Journal of Computational Physics 12 Journal of Engineering Mathematics 12 SIAM Journal on Applied Dynamical Systems 11 Journal of Differential Equations 9 Archive for Rational Mechanics and Analysis 9 Communications in Mathematical Physics 8 Journal of Mathematical Analysis and Applications 8 Journal of Nonlinear Science 8 European Journal of Mechanics. B. Fluids 7 Journal of Mathematical Biology 7 Multiscale Modeling & Simulation 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Statistical Physics 5 European Journal of Applied Mathematics 5 SIAM Journal on Applied Mathematics 5 SIAM Journal on Mathematical Analysis 4 Numerische Mathematik 4 Communications in Partial Differential Equations 4 Calculus of Variations and Partial Differential Equations 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Functional Analysis 3 Quarterly of Applied Mathematics 3 Studies in Applied Mathematics 3 Applied Mathematics Letters 3 Japan Journal of Industrial and Applied Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Kinetic and Related Models 2 Letters in Mathematical Physics 2 Reviews in Mathematical Physics 2 Annales de l’Institut Fourier 2 Indiana University Mathematics Journal 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Applied Numerical Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Stochastic Processes and their Applications 2 Discrete and Continuous Dynamical Systems 2 Chaos 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications in Contemporary Mathematics 2 Journal of Spectral Theory 2 Annals of PDE 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal for Numerical Methods in Fluids 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Numerical Analysis 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Constructive Approximation 1 Mathematical and Computer Modelling 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Natural Resource Modeling 1 Interfaces and Free Boundaries 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Dynamical Systems 1 Advanced Nonlinear Studies 1 Entropy 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematical Modelling of Natural Phenomena 1 Analysis & PDE 1 Journal of Nonlinear Science and Applications 1 Eurasian Mathematical Journal 1 Evolution Equations and Control Theory 1 Philosophical Transactions A. Royal Society of London ...and 1 more Serials
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#### Cited in 33 Fields

 229 Partial differential equations (35-XX) 151 Fluid mechanics (76-XX) 59 Statistical mechanics, structure of matter (82-XX) 44 Biology and other natural sciences (92-XX) 40 Numerical analysis (65-XX) 21 Probability theory and stochastic processes (60-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Mechanics of deformable solids (74-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 18 Classical thermodynamics, heat transfer (80-XX) 17 Quantum theory (81-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Ordinary differential equations (34-XX) 11 Integral equations (45-XX) 10 Mechanics of particles and systems (70-XX) 9 Optics, electromagnetic theory (78-XX) 7 Differential geometry (53-XX) 7 Geophysics (86-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Potential theory (31-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX)