## Pego, Robert L.

Compute Distance To:
 Author ID: pego.robert-l Published as: Pego, Robert L.; Pego, R. L.; Pego, Robert
 Documents Indexed: 103 Publications since 1983 Co-Authors: 54 Co-Authors with 85 Joint Publications 1,429 Co-Co-Authors
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### Co-Authors

 16 single-authored 13 Liu, Jianguo 8 Niethammer, Barbara 7 Menon, Govind K. 7 Weinstein, Michael I. 6 Iyer, Gautam 5 Liu, Jie 5 Nohel, John A. 4 Carr, Jack 4 Friesecke, Gero 3 Dai, Shibin 3 Maddocks, John H. 3 Quintero, José Raúl 2 Degond, Pierre 2 Gurski, Katharine F. 2 Hărăguş-Courcelle, Mariana 2 Kollár, Richard 2 Leger, Nicholas 2 Mizumachi, Tetsu 2 Murray, Ryan W. 2 Pu, Yue 2 Schneider, Guido 2 Smereka, Peter 2 Tzavaras, Athanasios E. 2 Uecker, Hannes 2 Zarnescu, Arghir Dani 1 Alexander, James Crew 1 Ball, John MacLeod 1 Ballew, Joshua 1 Clamond, Didier 1 Cohn, Samuel 1 Cozzi, Elaine 1 Denny, Diane L. 1 Dichmann, Donald J. 1 Dutykh, Denys 1 Engel, Maximilian 1 English, J. M. 1 Harabetian, Eduard 1 Holmes, Philip J. 1 Hong, Won Eui 1 Ignatova, Mihaela 1 James, Richard D. 1 Kelliher, James P. 1 Klobusicky, Joe 1 Levermore, C. David 1 Liu, Hailiang 1 Majda, Andrew J. 1 Novick-Cohen, Amy 1 Sachs, Robert L. 1 Serre, Denis 1 Slepčev, Dejan 1 Swart, Pieter J. 1 Van, Truong-Son 1 Velázquez, Juan J. L. 1 Warchall, Henry A.
all top 5

### Serials

 8 Nonlinearity 7 Archive for Rational Mechanics and Analysis 7 SIAM Journal on Mathematical Analysis 6 Transactions of the American Mathematical Society 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Communications in Mathematical Sciences 5 Journal of Nonlinear Science 4 Proceedings of the American Mathematical Society 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Journal of Statistical Physics 3 Physica D 2 Journal of Computational Physics 2 Studies in Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Advances in Applied Probability 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Differential and Integral Equations 1 The Annals of Applied Probability 1 Journal of Elasticity 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Review 1 Philosophical Transactions of the Royal Society of London. Series A 1 Calculus of Variations and Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Interfaces and Free Boundaries 1 AMRX. Applied Mathematics Research eXpress 1 RIMS Kôkyûroku Bessatsu 1 PAMM. Proceedings in Applied Mathematics and Mechanics
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### Fields

 76 Partial differential equations (35-XX) 44 Fluid mechanics (76-XX) 25 Statistical mechanics, structure of matter (82-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of deformable solids (74-XX) 9 Numerical analysis (65-XX) 8 Ordinary differential equations (34-XX) 7 Probability theory and stochastic processes (60-XX) 6 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

89 Publications have been cited 1,812 times in 1,315 Documents Cited by Year
Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065
Pego, Robert L.; Weinstein, Michael I.
1992
Front migration in the nonlinear Cahn-Hilliard equation. Zbl 0701.35159
Pego, R. L.
1989
Metastable patterns in solutions of $$u_ t=\epsilon ^ 2u_{xx}-f(u)$$. Zbl 0685.35054
Carr, J.; Pego, R. L.
1989
Asymptotic stability of solitary waves. Zbl 0805.35117
Pego, Robert L.; Weinstein, Michael I.
1994
Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015
Friesecke, G.; Pego, R. L.
1999
Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability. Zbl 0648.73017
Pego, Robert L.
1987
Stable patterns in a viscous diffusion equation. Zbl 0738.35035
Novick-Cohen, A.; Pego, R. L.
1991
Approach to self-similarity in Smoluchowski’s coagulation equations. Zbl 1049.35048
Menon, Govind; Pego, Robert L.
2004
Stable viscosity matrices for systems of conservation laws. Zbl 0512.76067
Majda, Andrew; Pego, Robert L.
1985
Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031
Pego, Robert L.; Smereka, Peter; Weinstein, Michael I.
1993
Solitary waves on FPU lattices. II: Linear implies nonlinear stability. Zbl 1102.37311
Friesecke, G.; Pego, R. L.
2002
On the dynamics of fine structure. Zbl 0791.35030
Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J.
1991
Stable and accurate pressure approximation for unsteady incompressible viscous flow. Zbl 1307.76029
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2010
Invariant manifolds for metastable patterns in $$u_ t = \varepsilon{}^ 2 u_{xx} - f(u)$$. Zbl 0738.35023
Carr, Jack; Pego, Robert
1990
Solidary waves on Fermi-Pasta-Ulam lattice. IV: Proof of stability at low energy. Zbl 1103.37050
Friesecke, G.; Pego, R. L.
2004
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate. Zbl 1131.35058
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2007
Solitary waves on Fermi-Pasta-Ulam lattices. III: Howland-type Floquet theory. Zbl 1103.37049
Friesecke, G.; Pego, R. L.
2004
Non-self-similar behavior in the LSW theory of Ostwald ripening. Zbl 1005.82510
Niethammer, Barbara; Pego, Robert L.
1999
Two-dimensional solitary waves for a Benney-Luke equation. Zbl 0935.35139
Pego, Robert L.; Quintero, José Raúl
1999
Compactness in $$L^ 2$$ and the Fourier transform. Zbl 0589.46020
Pego, Robert L.
1985
On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation. Zbl 0962.35505
Alexander, J. C.; Pego, R. L.; Sachs, R. L.
1997
On the initial value problem in the Lifshitz-Slyozov-Wagner theory of Ostwald ripening. Zbl 0940.35133
Niethammer, Barbara; Pego, Robert L.
2000
On the solitary wave pulse in a chain of beads. Zbl 1063.35146
English, J. M.; Pego, R. L.
2005
Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079
Pego, Robert L.; Weinstein, Michael I.
1997
Stable discretization of magnetohydrodynamics in bounded domains. Zbl 1278.76127
Liu, Jian-Guo; Pego, Robert
2010
On generating functions of Hausdorff moment sequences. Zbl 1350.44003
Liu, Jian-Guo; Pego, Robert L.
2016
An unconstrained Hamiltonian formulation for incompressible fluid flow. Zbl 0824.76021
Maddocks, John H.; Pego, Robert L.
1995
Asymptotic stability of Toda lattice solitons. Zbl 1157.37020
Mizumachi, Tetsu; Pego, Robert L.
2008
Hamiltonian dynamics of an elastica and the stability of solitary waves. Zbl 0861.73036
Dichmann, D. J.; Maddocks, J. H.; Pego, R. L.
1996
Coagulation-fragmentation model for animal group-size statistics. Zbl 1382.92260
Degond, Pierre; Liu, Jian-Guo; Pego, Robert L.
2017
Very slow phase separation in one dimension. Zbl 0991.35515
Carr, J.; Pego, R. L.
1989
Long-time persistence of Korteweg-de Vries solitons as transient dynamics in a model of inclined film flow. Zbl 1174.35102
Pego, Robert L.; Schneider, Guido; Uecker, Hannes
2007
Remarks on the stability of shock profiles for conservation laws with dissipation. Zbl 0581.35066
Pego, Robert L.
1985
Stable viscosities and shock profiles for systems of conservation laws. Zbl 0512.76068
Pego, Robert L.
1984
Spectrally stable encapsulated vortices for nonlinear Schrödinger equations. Zbl 1022.35067
Pego, R. L.; Warchall, H. A.
2002
Well-posedness for measure transport in a family of nonlocal domain coarsening models. Zbl 1083.82016
Niethammer, Barbara; Pego, Robert L.
2005
Lectures on dynamics in models of coarsening and coagulation. Zbl 1138.82021
Pego, Robert L.
2007
Stability of discontinuous steady states in shearing motions of a non- Newtonian fluid. Zbl 0702.76011
Nohel, John A.; Pego, Robert L.; Tzavaras, Athanasios E.
1990
Instabilities in Glimm’s scheme for two systems of mixed type. Zbl 0663.73010
Pego, Robert L.; Serre, Denis
1988
Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature. Zbl 1254.82004
Kollár, Richard; Pego, Robert L.
2012
Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014
Pego, R. L.; Smereka, P.; Weinstein, M. I.
1995
Universality classes in Burgers turbulence. Zbl 1127.76025
Menon, Govind; Pego, Robert L.
2007
Some explicit resonating waves in weakly nonlinear gas dynamics. Zbl 0669.76104
Pego, Robert L.
1988
Universal bounds on coarsening rates for mean-field models of phase transitions. Zbl 1107.82031
Dai, Shibin; Pego, Robert L.
2005
Dynamical scaling in Smoluchowski’s coagulation equations: uniform convergence. Zbl 1130.35128
Menon, Govind; Pego, Robert L.
2005
The scaling attractor and ultimate dynamics for Smoluchowski’s coagulation equations. Zbl 1142.82012
Menon, Govind; Pego, Robert L.
2008
Asymptotic linear stability of solitary water waves. Zbl 1362.35240
Pego, Robert L.; Sun, Shu-Ming
2016
Dynamical scaling in Smoluchowski’s coagulation equations: Uniform convergence. Zbl 1117.70018
Menon, Govind; Pego, Robert L.
2006
On the transverse linear instability of solitary water waves with large surface tension. Zbl 1056.76016
Pego, Robert L.; Sun, S. M.
2004
Slow damping of internal waves in a stably stratified fluid. Zbl 1070.76020
Gurski, K. F.; Kollár, R.; Pego, R. L.
2004
Nonexistence of a shock layer in gas dynamics with a nonconvex equation of state. Zbl 0652.76047
Pego, Robert L.
1986
Stabilization in a gradient system with a conservation law. Zbl 0751.34024
Pego, Robert L.
1992
Nonconservative hybrid shock capturing schemes. Zbl 0781.65076
Harabetian, Eduard; Pego, Robert
1993
Spatial wave dynamics of steady oblique wave interactions. Zbl 0966.35116
Haragus-Courcelle, Mariana; Pego, Robert L.
2000
The LSW model for domain coarsening: Asymptotic behavior for conserved total mass. Zbl 1143.82314
Niethammer, Barbara; Pego, Robert L.
2001
Linearized stability of extreme shock profiles in systems of conservation laws with viscosity. Zbl 0544.35057
Pego, Robert L.
1983
Asymptotic stability of solitary waves in the Benney-Luke model of water waves. Zbl 1289.37043
Mizumachi, Tetsu; Pego, Robert L.; Quintero, José Raúl
2013
Limit theorems for Smoluchowski dynamics associated with critical continuous-state branching processes. Zbl 1312.60100
Iyer, Gautam; Leger, Nicholas; Pego, Robert L.
2015
Algebraic decay to equilibrium for the Becker-Döring equations. Zbl 1362.34021
Murray, Ryan W.; Pego, Robert L.
2016
Ondes progressives à modulations transverses des équations de Kadomtsev-Petviashvili. (Travelling waves on the KP equations with transverse modulations.) Zbl 0924.35142
Hărăguş-Courcelle, Mariana; Pego, Robert L.
1999
Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093
Pego, Robert L.; Weinstein, Michael I.
1993
Phase transitions in one dimensional nonlinear viscoelasticity: Admissibility and stability. Zbl 0656.73023
Pego, Robert L.
1987
Multi-multiplier ambient-space formulations of constrained dynamical systems, with an application to elastodynamics. Zbl 0985.70010
Gonzalez, O.; Maddocks, J. H.; Pego, R. L.
2001
Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions. Zbl 1422.76043
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2009
Least action principles for incompressible flows and geodesics between shapes. Zbl 1428.35376
Liu, Jian-Guo; Pego, Robert L.; Slepčev, Dejan
2019
Global dynamics of Bose-Einstein condensation for a model of the Kompaneets equation. Zbl 1362.37161
Levermore, C. David; Liu, Hailiang; Pego, Robert L.
2016
Cutoff estimates for the linearized Becker-Döring equations. Zbl 1386.34020
Murray, Ryan W.; Pego, Robert L.
2017
Nonlinear stability and asymptotic behavior of shearing motions of a non- Newtonian fluid. Zbl 0783.76011
Nohel, John A.; Pego, Robert L.
1993
On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042
Pego, R. L.; Weinstein, M. I.
1995
On optimal estimates for the Laplace-Leray commutator in planar domains with corners. Zbl 1221.35016
Cozzi, Elaine; Pego, Robert L.
2011
Dynamics and self-similarity in min-driven clustering. Zbl 1211.82038
Menon, Govind; Niethammer, Barbara; Pego, Robert L.
2010
Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations. Zbl 1406.35193
Pu, Yue; Pego, Robert L.; Dutykh, Denys; Clamond, Didier
2018
An upper bound on the coarsening rate for mushy zones in a phase field model. Zbl 1075.35088
Dai, Shibin; Pego, Robert L.
2005
Normal modes for a stratified viscous fluid layer. Zbl 1034.35112
Gurski, K. F.; Pego, R. L.
2002
On the generation of discontinuous shearing motions of a non-Newtonian fluid. Zbl 0906.76006
Nohel, John A.; Pego, Robert L.
1997
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation. Zbl 1184.35243
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2006
Linearized stability of extreme shock profiles for systems of conservation laws with viscosity. Zbl 0528.35061
Pego, Robert L.
1983
Two-dimensional grain boundary networks: stochastic particle models and kinetic limits. Zbl 1455.74011
Klobusicky, Joe; Menon, Govind; Pego, Robert L.
2021
A host of traveling waves in a model of three-dimensional water-wave dynamics. Zbl 1009.76008
Pego, R. L.; Quintero, J. R.
2002
Stability in systems of conservation laws with dissipation. Zbl 0599.35081
Pego, Robert L.
1986
Models of low-speed flow for near-critical fluids with gravitational and capillary effects. Zbl 1032.76059
Denny, D. L.; Pego, R. L.
2000
Self-similarity in a cut-and-paste model of coarsening. Zbl 0978.82055
Carr, Jack; Pego, Robert L.
2000
Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag. Zbl 1196.82081
Dai, Shibin; Niethammer, Barbara; Pego, Robert L.
2010
Bose-Einstein condensation in a hyperbolic model for the Kompaneets equation. Zbl 1362.35308
Ballew, Joshua; Iyer, Gautam; Pego, Robert L.
2016
Temporal oscillations in Becker-Döring equations with atomization. Zbl 1444.34065
Pego, Robert L.; Velázquez, Juan J. L.
2020
Existence of solitary waves in one dimensional peridynamics. Zbl 1421.74050
Pego, Robert L.; Van, Truong-Son
2019
Well-posedness and derivative blow-up for a dispersionless regularized shallow water system. Zbl 1428.35375
Liu, Jian-Guo; Pego, Robert L.; Pu, Yue
2019
Local in time and space nonlinear stability of pulses in an unstable medium. Zbl 1106.76032
Schneider, Guido; Pego, Robert L.; Uecker, Hannes
2005
Global existence for two extended Navier-Stokes systems. Zbl 1309.76062
Ignatova, Mihaela; Iyer, Gautam; Kelliher, James P.; Pego, Robert L.; Zarnescu, Arghir D.
2015
Two-dimensional grain boundary networks: stochastic particle models and kinetic limits. Zbl 1455.74011
Klobusicky, Joe; Menon, Govind; Pego, Robert L.
2021
Temporal oscillations in Becker-Döring equations with atomization. Zbl 1444.34065
Pego, Robert L.; Velázquez, Juan J. L.
2020
Least action principles for incompressible flows and geodesics between shapes. Zbl 1428.35376
Liu, Jian-Guo; Pego, Robert L.; Slepčev, Dejan
2019
Existence of solitary waves in one dimensional peridynamics. Zbl 1421.74050
Pego, Robert L.; Van, Truong-Son
2019
Well-posedness and derivative blow-up for a dispersionless regularized shallow water system. Zbl 1428.35375
Liu, Jian-Guo; Pego, Robert L.; Pu, Yue
2019
Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations. Zbl 1406.35193
Pu, Yue; Pego, Robert L.; Dutykh, Denys; Clamond, Didier
2018
Coagulation-fragmentation model for animal group-size statistics. Zbl 1382.92260
Degond, Pierre; Liu, Jian-Guo; Pego, Robert L.
2017
Cutoff estimates for the linearized Becker-Döring equations. Zbl 1386.34020
Murray, Ryan W.; Pego, Robert L.
2017
On generating functions of Hausdorff moment sequences. Zbl 1350.44003
Liu, Jian-Guo; Pego, Robert L.
2016
Asymptotic linear stability of solitary water waves. Zbl 1362.35240
Pego, Robert L.; Sun, Shu-Ming
2016
Algebraic decay to equilibrium for the Becker-Döring equations. Zbl 1362.34021
Murray, Ryan W.; Pego, Robert L.
2016
Global dynamics of Bose-Einstein condensation for a model of the Kompaneets equation. Zbl 1362.37161
Levermore, C. David; Liu, Hailiang; Pego, Robert L.
2016
Bose-Einstein condensation in a hyperbolic model for the Kompaneets equation. Zbl 1362.35308
Ballew, Joshua; Iyer, Gautam; Pego, Robert L.
2016
Limit theorems for Smoluchowski dynamics associated with critical continuous-state branching processes. Zbl 1312.60100
Iyer, Gautam; Leger, Nicholas; Pego, Robert L.
2015
Global existence for two extended Navier-Stokes systems. Zbl 1309.76062
Ignatova, Mihaela; Iyer, Gautam; Kelliher, James P.; Pego, Robert L.; Zarnescu, Arghir D.
2015
Asymptotic stability of solitary waves in the Benney-Luke model of water waves. Zbl 1289.37043
Mizumachi, Tetsu; Pego, Robert L.; Quintero, José Raúl
2013
Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature. Zbl 1254.82004
Kollár, Richard; Pego, Robert L.
2012
On optimal estimates for the Laplace-Leray commutator in planar domains with corners. Zbl 1221.35016
Cozzi, Elaine; Pego, Robert L.
2011
Stable and accurate pressure approximation for unsteady incompressible viscous flow. Zbl 1307.76029
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2010
Stable discretization of magnetohydrodynamics in bounded domains. Zbl 1278.76127
Liu, Jian-Guo; Pego, Robert
2010
Dynamics and self-similarity in min-driven clustering. Zbl 1211.82038
Menon, Govind; Niethammer, Barbara; Pego, Robert L.
2010
Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag. Zbl 1196.82081
Dai, Shibin; Niethammer, Barbara; Pego, Robert L.
2010
Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions. Zbl 1422.76043
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2009
Asymptotic stability of Toda lattice solitons. Zbl 1157.37020
Mizumachi, Tetsu; Pego, Robert L.
2008
The scaling attractor and ultimate dynamics for Smoluchowski’s coagulation equations. Zbl 1142.82012
Menon, Govind; Pego, Robert L.
2008
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate. Zbl 1131.35058
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2007
Long-time persistence of Korteweg-de Vries solitons as transient dynamics in a model of inclined film flow. Zbl 1174.35102
Pego, Robert L.; Schneider, Guido; Uecker, Hannes
2007
Lectures on dynamics in models of coarsening and coagulation. Zbl 1138.82021
Pego, Robert L.
2007
Universality classes in Burgers turbulence. Zbl 1127.76025
Menon, Govind; Pego, Robert L.
2007
Dynamical scaling in Smoluchowski’s coagulation equations: Uniform convergence. Zbl 1117.70018
Menon, Govind; Pego, Robert L.
2006
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation. Zbl 1184.35243
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2006
On the solitary wave pulse in a chain of beads. Zbl 1063.35146
English, J. M.; Pego, R. L.
2005
Well-posedness for measure transport in a family of nonlocal domain coarsening models. Zbl 1083.82016
Niethammer, Barbara; Pego, Robert L.
2005
Universal bounds on coarsening rates for mean-field models of phase transitions. Zbl 1107.82031
Dai, Shibin; Pego, Robert L.
2005
Dynamical scaling in Smoluchowski’s coagulation equations: uniform convergence. Zbl 1130.35128
Menon, Govind; Pego, Robert L.
2005
An upper bound on the coarsening rate for mushy zones in a phase field model. Zbl 1075.35088
Dai, Shibin; Pego, Robert L.
2005
Local in time and space nonlinear stability of pulses in an unstable medium. Zbl 1106.76032
Schneider, Guido; Pego, Robert L.; Uecker, Hannes
2005
Approach to self-similarity in Smoluchowski’s coagulation equations. Zbl 1049.35048
Menon, Govind; Pego, Robert L.
2004
Solidary waves on Fermi-Pasta-Ulam lattice. IV: Proof of stability at low energy. Zbl 1103.37050
Friesecke, G.; Pego, R. L.
2004
Solitary waves on Fermi-Pasta-Ulam lattices. III: Howland-type Floquet theory. Zbl 1103.37049
Friesecke, G.; Pego, R. L.
2004
On the transverse linear instability of solitary water waves with large surface tension. Zbl 1056.76016
Pego, Robert L.; Sun, S. M.
2004
Slow damping of internal waves in a stably stratified fluid. Zbl 1070.76020
Gurski, K. F.; Kollár, R.; Pego, R. L.
2004
Solitary waves on FPU lattices. II: Linear implies nonlinear stability. Zbl 1102.37311
Friesecke, G.; Pego, R. L.
2002
Spectrally stable encapsulated vortices for nonlinear Schrödinger equations. Zbl 1022.35067
Pego, R. L.; Warchall, H. A.
2002
Normal modes for a stratified viscous fluid layer. Zbl 1034.35112
Gurski, K. F.; Pego, R. L.
2002
A host of traveling waves in a model of three-dimensional water-wave dynamics. Zbl 1009.76008
Pego, R. L.; Quintero, J. R.
2002
The LSW model for domain coarsening: Asymptotic behavior for conserved total mass. Zbl 1143.82314
Niethammer, Barbara; Pego, Robert L.
2001
Multi-multiplier ambient-space formulations of constrained dynamical systems, with an application to elastodynamics. Zbl 0985.70010
Gonzalez, O.; Maddocks, J. H.; Pego, R. L.
2001
On the initial value problem in the Lifshitz-Slyozov-Wagner theory of Ostwald ripening. Zbl 0940.35133
Niethammer, Barbara; Pego, Robert L.
2000
Spatial wave dynamics of steady oblique wave interactions. Zbl 0966.35116
Haragus-Courcelle, Mariana; Pego, Robert L.
2000
Models of low-speed flow for near-critical fluids with gravitational and capillary effects. Zbl 1032.76059
Denny, D. L.; Pego, R. L.
2000
Self-similarity in a cut-and-paste model of coarsening. Zbl 0978.82055
Carr, Jack; Pego, Robert L.
2000
Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015
Friesecke, G.; Pego, R. L.
1999
Non-self-similar behavior in the LSW theory of Ostwald ripening. Zbl 1005.82510
Niethammer, Barbara; Pego, Robert L.
1999
Two-dimensional solitary waves for a Benney-Luke equation. Zbl 0935.35139
Pego, Robert L.; Quintero, José Raúl
1999
Ondes progressives à modulations transverses des équations de Kadomtsev-Petviashvili. (Travelling waves on the KP equations with transverse modulations.) Zbl 0924.35142
Hărăguş-Courcelle, Mariana; Pego, Robert L.
1999
On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation. Zbl 0962.35505
Alexander, J. C.; Pego, R. L.; Sachs, R. L.
1997
Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079
Pego, Robert L.; Weinstein, Michael I.
1997
On the generation of discontinuous shearing motions of a non-Newtonian fluid. Zbl 0906.76006
Nohel, John A.; Pego, Robert L.
1997
Hamiltonian dynamics of an elastica and the stability of solitary waves. Zbl 0861.73036
Dichmann, D. J.; Maddocks, J. H.; Pego, R. L.
1996
An unconstrained Hamiltonian formulation for incompressible fluid flow. Zbl 0824.76021
Maddocks, John H.; Pego, Robert L.
1995
Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014
Pego, R. L.; Smereka, P.; Weinstein, M. I.
1995
On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042
Pego, R. L.; Weinstein, M. I.
1995
Asymptotic stability of solitary waves. Zbl 0805.35117
Pego, Robert L.; Weinstein, Michael I.
1994
Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031
Pego, Robert L.; Smereka, Peter; Weinstein, Michael I.
1993
Nonconservative hybrid shock capturing schemes. Zbl 0781.65076
Harabetian, Eduard; Pego, Robert
1993
Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093
Pego, Robert L.; Weinstein, Michael I.
1993
Nonlinear stability and asymptotic behavior of shearing motions of a non- Newtonian fluid. Zbl 0783.76011
Nohel, John A.; Pego, Robert L.
1993
Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065
Pego, Robert L.; Weinstein, Michael I.
1992
Stabilization in a gradient system with a conservation law. Zbl 0751.34024
Pego, Robert L.
1992
Stable patterns in a viscous diffusion equation. Zbl 0738.35035
Novick-Cohen, A.; Pego, R. L.
1991
On the dynamics of fine structure. Zbl 0791.35030
Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J.
1991
Invariant manifolds for metastable patterns in $$u_ t = \varepsilon{}^ 2 u_{xx} - f(u)$$. Zbl 0738.35023
Carr, Jack; Pego, Robert
1990
Stability of discontinuous steady states in shearing motions of a non- Newtonian fluid. Zbl 0702.76011
Nohel, John A.; Pego, Robert L.; Tzavaras, Athanasios E.
1990
Front migration in the nonlinear Cahn-Hilliard equation. Zbl 0701.35159
Pego, R. L.
1989
Metastable patterns in solutions of $$u_ t=\epsilon ^ 2u_{xx}-f(u)$$. Zbl 0685.35054
Carr, J.; Pego, R. L.
1989
Very slow phase separation in one dimension. Zbl 0991.35515
Carr, J.; Pego, R. L.
1989
Instabilities in Glimm’s scheme for two systems of mixed type. Zbl 0663.73010
Pego, Robert L.; Serre, Denis
1988
Some explicit resonating waves in weakly nonlinear gas dynamics. Zbl 0669.76104
Pego, Robert L.
1988
Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability. Zbl 0648.73017
Pego, Robert L.
1987
Phase transitions in one dimensional nonlinear viscoelasticity: Admissibility and stability. Zbl 0656.73023
Pego, Robert L.
1987
Nonexistence of a shock layer in gas dynamics with a nonconvex equation of state. Zbl 0652.76047
Pego, Robert L.
1986
Stability in systems of conservation laws with dissipation. Zbl 0599.35081
Pego, Robert L.
1986
Stable viscosity matrices for systems of conservation laws. Zbl 0512.76067
Majda, Andrew; Pego, Robert L.
1985
Compactness in $$L^ 2$$ and the Fourier transform. Zbl 0589.46020
Pego, Robert L.
1985
Remarks on the stability of shock profiles for conservation laws with dissipation. Zbl 0581.35066
Pego, Robert L.
1985
Stable viscosities and shock profiles for systems of conservation laws. Zbl 0512.76068
Pego, Robert L.
1984
Linearized stability of extreme shock profiles in systems of conservation laws with viscosity. Zbl 0544.35057
Pego, Robert L.
1983
Linearized stability of extreme shock profiles for systems of conservation laws with viscosity. Zbl 0528.35061
Pego, Robert L.
1983
all top 5

### Cited by 1,551 Authors

 39 Zumbrun, Kevin R. 31 Pego, Robert L. 27 Niethammer, Barbara 26 Velázquez, Juan J. L. 18 Kevrekidis, Panayotis G. 13 Komech, Alexander Ilich 13 Liu, Jianguo 13 Muñoz, Claudio 13 Pelinovsky, Dmitry Efimovich 12 Chen, Xinfu 12 Johnson, Mathew A. 12 Kopylova, Elena A. 12 Strani, Marta 12 Tesei, Alberto 11 Folino, Raffaele 11 Herrmann, Michael 11 Laurençot, Philippe 11 Martel, Yvan 11 Vainchtein, Anna 10 Barker, Blake 10 Humpherys, Jeffrey 10 Il’ichev, Andreĭ Teĭmurazovich 9 Duran, Angel 9 Ghazaryan, Anna 9 Smarrazzo, Flavia 9 Zhang, Weiguo 8 Bates, Peter W. 8 James, Guillaume 8 Karali, Georgia D. 8 Kowalczyk, Michał 8 Latushkin, Yuri 8 Matthies, Karsten 8 Mizumachi, Tetsu 8 Promislow, Keith Steven 8 Rodrigues, Luis Miguel 7 Colli, Pierluigi 7 Fusco, Giorgio 7 Horikawa, Yo 7 Kapitula, Todd M. 7 Lafortune, Stéphane 7 Menon, Govind K. 7 Novick-Cohen, Amy 7 Otto, Felix 7 Plaza, Ramón G. 7 Quintero, José Raúl 7 Sandstede, Björn 7 Shen, Jie 7 Tzvetkov, Nikolay 7 Witelski, Thomas P. 6 Antman, Stuart S. 6 Conlon, Joseph G. 6 Glasner, Karl B. 6 Haragus, Mariana 6 Howard, Peter 6 Kalliadasis, Serafim 6 Lowengrub, John Samuel 6 Lyng, Gregory Daniel 6 Malomed, Boris A. 6 Merle, Frank 6 Noble, Pascal 6 Rousset, Frédéric 6 Throm, Sebastian 6 Zhang, Guodong 5 Acharya, Amit 5 Alikakos, Nicholas D. 5 Bronski, Jared C. 5 Chugaĭnova, Anna Pavlova 5 Côte, Raphaël 5 Dougalis, Vassilios A. 5 Escobedo Martínez, Miguel 5 Iyer, Gautam 5 Klouček, Petr 5 Kuttler, Kenneth L. jun. 5 LeFloch, Philippe Gerard 5 Mascia, Corrado 5 Mischler, Stéphane 5 Münch, Andreas 5 Radkevich, Evgeniĭ Vladimirovich 5 Rosales, Rodolfo Ruben 5 Rybka, Piotr 5 Scarpa, Luca 5 Schneider, Guido 5 Serre, Denis 5 Shargatov, Vladimir Anatol’evich 5 Smets, Didier 5 Stefanov, Atanas G. 5 Truskinovsky, Lev 5 van Heijster, Peter 5 Wayne, Clarence Eugene 5 Wei, Juncheng 5 Weinstein, Michael I. 5 Wright, J. Douglas 5 Xu, Runzhang 5 Xu, Xianmin 4 Bambusi, Dario 4 Bertsch, Michiel 4 Bethuel, Fabrice 4 Bretin, Elie 4 Bronsard, Lia 4 Čanić, Sunčica ...and 1,451 more Authors
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### Cited in 246 Serials

 110 Physica D 91 Journal of Differential Equations 70 Archive for Rational Mechanics and Analysis 42 Journal of Computational Physics 37 Communications in Mathematical Physics 28 Journal of Statistical Physics 28 Journal of Dynamics and Differential Equations 26 Journal of Mathematical Analysis and Applications 26 Journal of Nonlinear Science 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Transactions of the American Mathematical Society 21 Communications in Partial Differential Equations 17 Computer Methods in Applied Mechanics and Engineering 17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 17 Discrete and Continuous Dynamical Systems 16 SIAM Journal on Applied Mathematics 15 SIAM Journal on Mathematical Analysis 14 Nonlinearity 14 Studies in Applied Mathematics 13 Applicable Analysis 13 Quarterly of Applied Mathematics 13 SIAM Journal on Numerical Analysis 13 Applied Mathematics Letters 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 Calculus of Variations and Partial Differential Equations 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Physics of Fluids 11 Journal of Computational and Applied Mathematics 11 Journal of Scientific Computing 10 Journal of Mathematical Physics 10 Mathematics of Computation 10 Nonlinear Analysis. Real World Applications 10 Discrete and Continuous Dynamical Systems. Series B 9 Journal of Fluid Mechanics 9 Journal of Hyperbolic Differential Equations 8 Computers & Mathematics with Applications 8 Mathematics and Computers in Simulation 8 Proceedings of the American Mathematical Society 8 Applied Numerical Mathematics 8 European Journal of Applied Mathematics 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Communications on Pure and Applied Mathematics 7 Chaos, Solitons and Fractals 7 Journal of Functional Analysis 7 Acta Mathematicae Applicatae Sinica. English Series 7 Journal of Elasticity 7 Communications in Nonlinear Science and Numerical Simulation 7 Communications on Pure and Applied Analysis 6 Journal of the Mechanics and Physics of Solids 6 Wave Motion 6 Applied Mathematics and Computation 6 Chaos 6 Nonlinear Analysis. Theory, Methods & Applications 5 Acta Mechanica 5 Mathematical Methods in the Applied Sciences 5 Theoretical and Mathematical Physics 5 Advances in Mathematics 5 Inventiones Mathematicae 5 Continuum Mechanics and Thermodynamics 5 SIAM Journal on Scientific Computing 5 SIAM Journal on Applied Dynamical Systems 5 Multiscale Modeling & Simulation 4 Computers and Fluids 4 Journal of Mathematical Biology 4 Russian Mathematical Surveys 4 Chinese Annals of Mathematics. Series B 4 Numerical Methods for Partial Differential Equations 4 Asymptotic Analysis 4 Journal of Mathematical Sciences (New York) 4 Mathematics and Mechanics of Solids 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications in Computational Physics 4 Séminaire Laurent Schwartz. EDP et Applications 3 Rocky Mountain Journal of Mathematics 3 Bulletin of Mathematical Biology 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Memoirs of the American Mathematical Society 3 Osaka Journal of Mathematics 3 Advances in Applied Mathematics 3 Probability Theory and Related Fields 3 Revista Matemática Iberoamericana 3 Journal of the American Mathematical Society 3 Applied Mathematical Modelling 3 Bulletin of the American Mathematical Society. New Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Abstract and Applied Analysis 3 Journal of Evolution Equations 3 Journal of Applied Mathematics and Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Discrete and Continuous Dynamical Systems. Series S 3 Kinetic and Related Models 3 Science China. Mathematics 3 Mathematical Control and Related Fields 3 Journal of Theoretical Biology 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal of Engineering Science 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) ...and 146 more Serials
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### Cited in 45 Fields

 902 Partial differential equations (35-XX) 328 Fluid mechanics (76-XX) 198 Dynamical systems and ergodic theory (37-XX) 187 Numerical analysis (65-XX) 167 Mechanics of deformable solids (74-XX) 167 Statistical mechanics, structure of matter (82-XX) 106 Ordinary differential equations (34-XX) 66 Integral equations (45-XX) 62 Biology and other natural sciences (92-XX) 61 Classical thermodynamics, heat transfer (80-XX) 38 Operator theory (47-XX) 37 Probability theory and stochastic processes (60-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 29 Mechanics of particles and systems (70-XX) 19 Functional analysis (46-XX) 17 Quantum theory (81-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Optics, electromagnetic theory (78-XX) 12 Measure and integration (28-XX) 10 Difference and functional equations (39-XX) 10 Differential geometry (53-XX) 9 Integral transforms, operational calculus (44-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Systems theory; control (93-XX) 6 Combinatorics (05-XX) 6 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 6 Approximations and expansions (41-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Geophysics (86-XX) 4 Computer science (68-XX) 4 Astronomy and astrophysics (85-XX) 3 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 3 Statistics (62-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)