Edit Profile (opens in new tab) Pego, Robert L. Compute Distance To: Compute 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0776.35065Pego, Robert L.; Weinstein, Michael I. 160 1992 Front migration in the nonlinear Cahn-Hilliard equation. Zbl 0701.35159Pego, R. L. 159 1989 Metastable patterns in solutions of \(u_ t=\epsilon ^ 2u_{xx}-f(u)\). Zbl 0685.35054Carr, J.; Pego, R. L. 141 1989 Asymptotic stability of solitary waves. Zbl 0805.35117Pego, Robert L.; Weinstein, Michael I. 132 1994 Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015Friesecke, G.; Pego, R. L. 76 1999 Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability. Zbl 0648.73017Pego, Robert L. 74 1987 Stable patterns in a viscous diffusion equation. Zbl 0738.35035Novick-Cohen, A.; Pego, R. L. 59 1991 Approach to self-similarity in Smoluchowski’s coagulation equations. Zbl 1049.35048Menon, Govind; Pego, Robert L. 56 2004 Stable viscosity matrices for systems of conservation laws. Zbl 0512.76067Majda, Andrew; Pego, Robert L. 54 1985 Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031Pego, Robert L.; Smereka, Peter; Weinstein, Michael I. 45 1993 Solitary waves on FPU lattices. II: Linear implies nonlinear stability. Zbl 1102.37311Friesecke, G.; Pego, R. L. 42 2002 On the dynamics of fine structure. Zbl 0791.35030Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J. 39 1991 Stable and accurate pressure approximation for unsteady incompressible viscous flow. Zbl 1307.76029Liu, Jian-Guo; Liu, Jie; Pego, Robert L. 38 2010 Invariant manifolds for metastable patterns in \(u_ t = \varepsilon{}^ 2 u_{xx} - f(u)\). Zbl 0738.35023Carr, Jack; Pego, Robert 35 1990 Solidary waves on Fermi-Pasta-Ulam lattice. IV: Proof of stability at low energy. Zbl 1103.37050Friesecke, G.; Pego, R. L. 35 2004 Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate. Zbl 1131.35058Liu, Jian-Guo; Liu, Jie; Pego, Robert L. 35 2007 Solitary waves on Fermi-Pasta-Ulam lattices. III: Howland-type Floquet theory. Zbl 1103.37049Friesecke, G.; Pego, R. L. 34 2004 Non-self-similar behavior in the LSW theory of Ostwald ripening. Zbl 1005.82510Niethammer, Barbara; Pego, Robert L. 32 1999 Two-dimensional solitary waves for a Benney-Luke equation. Zbl 0935.35139Pego, Robert L.; Quintero, José Raúl 24 1999 Compactness in \(L^ 2\) and the Fourier transform. Zbl 0589.46020Pego, Robert L. 24 1985 On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation. Zbl 0962.35505Alexander, J. C.; Pego, R. L.; Sachs, R. L. 23 1997 On the initial value problem in the Lifshitz-Slyozov-Wagner theory of Ostwald ripening. Zbl 0940.35133Niethammer, Barbara; Pego, Robert L. 23 2000 On the solitary wave pulse in a chain of beads. Zbl 1063.35146English, J. M.; Pego, R. L. 22 2005 Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079Pego, Robert L.; Weinstein, Michael I. 19 1997 Stable discretization of magnetohydrodynamics in bounded domains. Zbl 1278.76127Liu, Jian-Guo; Pego, Robert 18 2010 On generating functions of Hausdorff moment sequences. Zbl 1350.44003Liu, Jian-Guo; Pego, Robert L. 17 2016 An unconstrained Hamiltonian formulation for incompressible fluid flow. Zbl 0824.76021Maddocks, John H.; Pego, Robert L. 17 1995 Asymptotic stability of Toda lattice solitons. Zbl 1157.37020Mizumachi, Tetsu; Pego, Robert L. 17 2008 Hamiltonian dynamics of an elastica and the stability of solitary waves. Zbl 0861.73036Dichmann, D. J.; Maddocks, J. H.; Pego, R. L. 16 1996 Coagulation-fragmentation model for animal group-size statistics. Zbl 1382.92260Degond, Pierre; Liu, Jian-Guo; Pego, Robert L. 16 2017 Very slow phase separation in one dimension. Zbl 0991.35515Carr, J.; Pego, R. L. 14 1989 Long-time persistence of Korteweg-de Vries solitons as transient dynamics in a model of inclined film flow. Zbl 1174.35102Pego, Robert L.; Schneider, Guido; Uecker, Hannes 14 2007 Remarks on the stability of shock profiles for conservation laws with dissipation. Zbl 0581.35066Pego, Robert L. 14 1985 Stable viscosities and shock profiles for systems of conservation laws. Zbl 0512.76068Pego, Robert L. 13 1984 Spectrally stable encapsulated vortices for nonlinear Schrödinger equations. Zbl 1022.35067Pego, R. L.; Warchall, H. A. 13 2002 Well-posedness for measure transport in a family of nonlocal domain coarsening models. Zbl 1083.82016Niethammer, Barbara; Pego, Robert L. 13 2005 Lectures on dynamics in models of coarsening and coagulation. Zbl 1138.82021Pego, Robert L. 11 2007 Stability of discontinuous steady states in shearing motions of a non- Newtonian fluid. Zbl 0702.76011Nohel, John A.; Pego, Robert L.; Tzavaras, Athanasios E. 10 1990 Instabilities in Glimm’s scheme for two systems of mixed type. Zbl 0663.73010Pego, Robert L.; Serre, Denis 10 1988 Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature. Zbl 1254.82004Kollár, Richard; Pego, Robert L. 10 2012 Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014Pego, R. L.; Smereka, P.; Weinstein, M. I. 9 1995 Universality classes in Burgers turbulence. Zbl 1127.76025Menon, Govind; Pego, Robert L. 9 2007 Some explicit resonating waves in weakly nonlinear gas dynamics. Zbl 0669.76104Pego, Robert L. 9 1988 Universal bounds on coarsening rates for mean-field models of phase transitions. Zbl 1107.82031Dai, Shibin; Pego, Robert L. 8 2005 Dynamical scaling in Smoluchowski’s coagulation equations: uniform convergence. Zbl 1130.35128Menon, Govind; Pego, Robert L. 8 2005 The scaling attractor and ultimate dynamics for Smoluchowski’s coagulation equations. Zbl 1142.82012Menon, Govind; Pego, Robert L. 8 2008 Asymptotic linear stability of solitary water waves. Zbl 1362.35240Pego, Robert L.; Sun, Shu-Ming 7 2016 Dynamical scaling in Smoluchowski’s coagulation equations: Uniform convergence. Zbl 1117.70018Menon, Govind; Pego, Robert L. 7 2006 On the transverse linear instability of solitary water waves with large surface tension. Zbl 1056.76016Pego, Robert L.; Sun, S. M. 7 2004 Slow damping of internal waves in a stably stratified fluid. Zbl 1070.76020Gurski, K. F.; Kollár, R.; Pego, R. L. 7 2004 Nonexistence of a shock layer in gas dynamics with a nonconvex equation of state. Zbl 0652.76047Pego, Robert L. 7 1986 Stabilization in a gradient system with a conservation law. Zbl 0751.34024Pego, Robert L. 6 1992 Nonconservative hybrid shock capturing schemes. Zbl 0781.65076Harabetian, Eduard; Pego, Robert 6 1993 Spatial wave dynamics of steady oblique wave interactions. Zbl 0966.35116Haragus-Courcelle, Mariana; Pego, Robert L. 6 2000 The LSW model for domain coarsening: Asymptotic behavior for conserved total mass. Zbl 1143.82314Niethammer, Barbara; Pego, Robert L. 6 2001 Linearized stability of extreme shock profiles in systems of conservation laws with viscosity. Zbl 0544.35057Pego, Robert L. 6 1983 Asymptotic stability of solitary waves in the Benney-Luke model of water waves. Zbl 1289.37043Mizumachi, Tetsu; Pego, Robert L.; Quintero, José Raúl 6 2013 Limit theorems for Smoluchowski dynamics associated with critical continuous-state branching processes. Zbl 1312.60100Iyer, Gautam; Leger, Nicholas; Pego, Robert L. 6 2015 Algebraic decay to equilibrium for the Becker-Döring equations. Zbl 1362.34021Murray, Ryan W.; Pego, Robert L. 5 2016 Ondes progressives à modulations transverses des équations de Kadomtsev-Petviashvili. (Travelling waves on the KP equations with transverse modulations.) Zbl 0924.35142Hărăguş-Courcelle, Mariana; Pego, Robert L. 5 1999 Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093Pego, Robert L.; Weinstein, Michael I. 5 1993 Phase transitions in one dimensional nonlinear viscoelasticity: Admissibility and stability. Zbl 0656.73023Pego, Robert L. 5 1987 Multi-multiplier ambient-space formulations of constrained dynamical systems, with an application to elastodynamics. Zbl 0985.70010Gonzalez, O.; Maddocks, J. H.; Pego, R. L. 4 2001 Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions. Zbl 1422.76043Liu, Jian-Guo; Liu, Jie; Pego, Robert L. 4 2009 Least action principles for incompressible flows and geodesics between shapes. Zbl 1428.35376Liu, Jian-Guo; Pego, Robert L.; Slepčev, Dejan 4 2019 Global dynamics of Bose-Einstein condensation for a model of the Kompaneets equation. Zbl 1362.37161Levermore, C. David; Liu, Hailiang; Pego, Robert L. 4 2016 Cutoff estimates for the linearized Becker-Döring equations. Zbl 1386.34020Murray, Ryan W.; Pego, Robert L. 3 2017 Nonlinear stability and asymptotic behavior of shearing motions of a non- Newtonian fluid. Zbl 0783.76011Nohel, John A.; Pego, Robert L. 3 1993 On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042Pego, R. L.; Weinstein, M. I. 3 1995 On optimal estimates for the Laplace-Leray commutator in planar domains with corners. Zbl 1221.35016Cozzi, Elaine; Pego, Robert L. 3 2011 Dynamics and self-similarity in min-driven clustering. Zbl 1211.82038Menon, Govind; Niethammer, Barbara; Pego, Robert L. 3 2010 Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations. Zbl 1406.35193Pu, Yue; Pego, Robert L.; Dutykh, Denys; Clamond, Didier 3 2018 An upper bound on the coarsening rate for mushy zones in a phase field model. Zbl 1075.35088Dai, Shibin; Pego, Robert L. 3 2005 Normal modes for a stratified viscous fluid layer. Zbl 1034.35112Gurski, K. F.; Pego, R. L. 2 2002 On the generation of discontinuous shearing motions of a non-Newtonian fluid. Zbl 0906.76006Nohel, John A.; Pego, Robert L. 2 1997 On incompressible Navier-Stokes dynamics: a new approach for analysis and computation. Zbl 1184.35243Liu, Jian-Guo; Liu, Jie; Pego, Robert L. 2 2006 Linearized stability of extreme shock profiles for systems of conservation laws with viscosity. Zbl 0528.35061Pego, Robert L. 2 1983 Two-dimensional grain boundary networks: stochastic particle models and kinetic limits. Zbl 1455.74011Klobusicky, Joe; Menon, Govind; Pego, Robert L. 2 2021 A host of traveling waves in a model of three-dimensional water-wave dynamics. Zbl 1009.76008Pego, R. L.; Quintero, J. R. 2 2002 Stability in systems of conservation laws with dissipation. Zbl 0599.35081Pego, Robert L. 2 1986 Models of low-speed flow for near-critical fluids with gravitational and capillary effects. Zbl 1032.76059Denny, D. L.; Pego, R. L. 1 2000 Self-similarity in a cut-and-paste model of coarsening. Zbl 0978.82055Carr, Jack; Pego, Robert L. 1 2000 Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag. Zbl 1196.82081Dai, Shibin; Niethammer, Barbara; Pego, Robert L. 1 2010 Bose-Einstein condensation in a hyperbolic model for the Kompaneets equation. Zbl 1362.35308Ballew, Joshua; Iyer, Gautam; Pego, Robert L. 1 2016 Temporal oscillations in Becker-Döring equations with atomization. Zbl 1444.34065Pego, Robert L.; Velázquez, Juan J. L. 1 2020 Existence of solitary waves in one dimensional peridynamics. Zbl 1421.74050Pego, Robert L.; Van, Truong-Son 1 2019 Well-posedness and derivative blow-up for a dispersionless regularized shallow water system. Zbl 1428.35375Liu, Jian-Guo; Pego, Robert L.; Pu, Yue 1 2019 Local in time and space nonlinear stability of pulses in an unstable medium. Zbl 1106.76032Schneider, Guido; Pego, Robert L.; Uecker, Hannes 1 2005 Global existence for two extended Navier-Stokes systems. Zbl 1309.76062Ignatova, Mihaela; Iyer, Gautam; Kelliher, James P.; Pego, Robert L.; Zarnescu, Arghir D. 1 2015 Two-dimensional grain boundary networks: stochastic particle models and kinetic limits. Zbl 1455.74011Klobusicky, Joe; Menon, Govind; Pego, Robert L. 2 2021 Temporal oscillations in Becker-Döring equations with atomization. Zbl 1444.34065Pego, Robert L.; Velázquez, Juan J. L. 1 2020 Least action principles for incompressible flows and geodesics between shapes. Zbl 1428.35376Liu, Jian-Guo; Pego, Robert L.; Slepčev, Dejan 4 2019 Existence of solitary waves in one dimensional peridynamics. Zbl 1421.74050Pego, Robert L.; Van, Truong-Son 1 2019 Well-posedness and derivative blow-up for a dispersionless regularized shallow water system. Zbl 1428.35375Liu, Jian-Guo; Pego, Robert L.; Pu, Yue 1 2019 Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations. Zbl 1406.35193Pu, Yue; Pego, Robert L.; Dutykh, Denys; Clamond, Didier 3 2018 Coagulation-fragmentation model for animal group-size statistics. Zbl 1382.92260Degond, Pierre; Liu, Jian-Guo; Pego, Robert L. 16 2017 Cutoff estimates for the linearized Becker-Döring equations. Zbl 1386.34020Murray, Ryan W.; Pego, Robert L. 3 2017 On generating functions of Hausdorff moment sequences. Zbl 1350.44003Liu, Jian-Guo; Pego, Robert L. 17 2016 Asymptotic linear stability of solitary water waves. Zbl 1362.35240Pego, Robert L.; Sun, Shu-Ming 7 2016 Algebraic decay to equilibrium for the Becker-Döring equations. Zbl 1362.34021Murray, Ryan W.; Pego, Robert L. 5 2016 Global dynamics of Bose-Einstein condensation for a model of the Kompaneets equation. Zbl 1362.37161Levermore, C. David; Liu, Hailiang; Pego, Robert L. 4 2016 Bose-Einstein condensation in a hyperbolic model for the Kompaneets equation. Zbl 1362.35308Ballew, Joshua; Iyer, Gautam; Pego, Robert L. 1 2016 Limit theorems for Smoluchowski dynamics associated with critical continuous-state branching processes. Zbl 1312.60100Iyer, Gautam; Leger, Nicholas; Pego, Robert L. 6 2015 Global existence for two extended Navier-Stokes systems. Zbl 1309.76062Ignatova, Mihaela; Iyer, Gautam; Kelliher, James P.; Pego, Robert L.; Zarnescu, Arghir D. 1 2015 Asymptotic stability of solitary waves in the Benney-Luke model of water waves. Zbl 1289.37043Mizumachi, Tetsu; Pego, Robert L.; Quintero, José Raúl 6 2013 Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature. Zbl 1254.82004Kollár, Richard; Pego, Robert L. 10 2012 On optimal estimates for the Laplace-Leray commutator in planar domains with corners. Zbl 1221.35016Cozzi, Elaine; Pego, Robert L. 3 2011 Stable and accurate pressure approximation for unsteady incompressible viscous flow. Zbl 1307.76029Liu, Jian-Guo; Liu, Jie; Pego, Robert L. 38 2010 Stable discretization of magnetohydrodynamics in bounded domains. Zbl 1278.76127Liu, Jian-Guo; Pego, Robert 18 2010 Dynamics and self-similarity in min-driven clustering. Zbl 1211.82038Menon, Govind; Niethammer, Barbara; Pego, Robert L. 3 2010 Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag. Zbl 1196.82081Dai, Shibin; Niethammer, Barbara; Pego, Robert L. 1 2010 Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions. Zbl 1422.76043Liu, Jian-Guo; Liu, Jie; Pego, Robert L. 4 2009 Asymptotic stability of Toda lattice solitons. Zbl 1157.37020Mizumachi, Tetsu; Pego, Robert L. 17 2008 The scaling attractor and ultimate dynamics for Smoluchowski’s coagulation equations. Zbl 1142.82012Menon, Govind; Pego, Robert L. 8 2008 Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate. Zbl 1131.35058Liu, Jian-Guo; Liu, Jie; Pego, Robert L. 35 2007 Long-time persistence of Korteweg-de Vries solitons as transient dynamics in a model of inclined film flow. Zbl 1174.35102Pego, Robert L.; Schneider, Guido; Uecker, Hannes 14 2007 Lectures on dynamics in models of coarsening and coagulation. Zbl 1138.82021Pego, Robert L. 11 2007 Universality classes in Burgers turbulence. Zbl 1127.76025Menon, Govind; Pego, Robert L. 9 2007 Dynamical scaling in Smoluchowski’s coagulation equations: Uniform convergence. Zbl 1117.70018Menon, Govind; Pego, Robert L. 7 2006 On incompressible Navier-Stokes dynamics: a new approach for analysis and computation. Zbl 1184.35243Liu, Jian-Guo; Liu, Jie; Pego, Robert L. 2 2006 On the solitary wave pulse in a chain of beads. Zbl 1063.35146English, J. M.; Pego, R. L. 22 2005 Well-posedness for measure transport in a family of nonlocal domain coarsening models. Zbl 1083.82016Niethammer, Barbara; Pego, Robert L. 13 2005 Universal bounds on coarsening rates for mean-field models of phase transitions. Zbl 1107.82031Dai, Shibin; Pego, Robert L. 8 2005 Dynamical scaling in Smoluchowski’s coagulation equations: uniform convergence. Zbl 1130.35128Menon, Govind; Pego, Robert L. 8 2005 An upper bound on the coarsening rate for mushy zones in a phase field model. Zbl 1075.35088Dai, Shibin; Pego, Robert L. 3 2005 Local in time and space nonlinear stability of pulses in an unstable medium. Zbl 1106.76032Schneider, Guido; Pego, Robert L.; Uecker, Hannes 1 2005 Approach to self-similarity in Smoluchowski’s coagulation equations. Zbl 1049.35048Menon, Govind; Pego, Robert L. 56 2004 Solidary waves on Fermi-Pasta-Ulam lattice. IV: Proof of stability at low energy. Zbl 1103.37050Friesecke, G.; Pego, R. L. 35 2004 Solitary waves on Fermi-Pasta-Ulam lattices. III: Howland-type Floquet theory. Zbl 1103.37049Friesecke, G.; Pego, R. L. 34 2004 On the transverse linear instability of solitary water waves with large surface tension. Zbl 1056.76016Pego, Robert L.; Sun, S. M. 7 2004 Slow damping of internal waves in a stably stratified fluid. Zbl 1070.76020Gurski, K. F.; Kollár, R.; Pego, R. L. 7 2004 Solitary waves on FPU lattices. II: Linear implies nonlinear stability. Zbl 1102.37311Friesecke, G.; Pego, R. L. 42 2002 Spectrally stable encapsulated vortices for nonlinear Schrödinger equations. Zbl 1022.35067Pego, R. L.; Warchall, H. A. 13 2002 Normal modes for a stratified viscous fluid layer. Zbl 1034.35112Gurski, K. F.; Pego, R. L. 2 2002 A host of traveling waves in a model of three-dimensional water-wave dynamics. Zbl 1009.76008Pego, R. L.; Quintero, J. R. 2 2002 The LSW model for domain coarsening: Asymptotic behavior for conserved total mass. Zbl 1143.82314Niethammer, Barbara; Pego, Robert L. 6 2001 Multi-multiplier ambient-space formulations of constrained dynamical systems, with an application to elastodynamics. Zbl 0985.70010Gonzalez, O.; Maddocks, J. H.; Pego, R. L. 4 2001 On the initial value problem in the Lifshitz-Slyozov-Wagner theory of Ostwald ripening. Zbl 0940.35133Niethammer, Barbara; Pego, Robert L. 23 2000 Spatial wave dynamics of steady oblique wave interactions. Zbl 0966.35116Haragus-Courcelle, Mariana; Pego, Robert L. 6 2000 Models of low-speed flow for near-critical fluids with gravitational and capillary effects. Zbl 1032.76059Denny, D. L.; Pego, R. L. 1 2000 Self-similarity in a cut-and-paste model of coarsening. Zbl 0978.82055Carr, Jack; Pego, Robert L. 1 2000 Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015Friesecke, G.; Pego, R. L. 76 1999 Non-self-similar behavior in the LSW theory of Ostwald ripening. Zbl 1005.82510Niethammer, Barbara; Pego, Robert L. 32 1999 Two-dimensional solitary waves for a Benney-Luke equation. Zbl 0935.35139Pego, Robert L.; Quintero, José Raúl 24 1999 Ondes progressives à modulations transverses des équations de Kadomtsev-Petviashvili. (Travelling waves on the KP equations with transverse modulations.) Zbl 0924.35142Hărăguş-Courcelle, Mariana; Pego, Robert L. 5 1999 On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation. Zbl 0962.35505Alexander, J. C.; Pego, R. L.; Sachs, R. L. 23 1997 Convective linear stability of solitary waves for Boussinesq equations. Zbl 0889.35079Pego, Robert L.; Weinstein, Michael I. 19 1997 On the generation of discontinuous shearing motions of a non-Newtonian fluid. Zbl 0906.76006Nohel, John A.; Pego, Robert L. 2 1997 Hamiltonian dynamics of an elastica and the stability of solitary waves. Zbl 0861.73036Dichmann, D. J.; Maddocks, J. H.; Pego, R. L. 16 1996 An unconstrained Hamiltonian formulation for incompressible fluid flow. Zbl 0824.76021Maddocks, John H.; Pego, Robert L. 17 1995 Oscillatory instability of solitary waves in a continuum model of lattice vibrations. Zbl 0858.35014Pego, R. L.; Smereka, P.; Weinstein, M. I. 9 1995 On the strong spectral stability of some Boussinesq solitary waves. Zbl 0872.76042Pego, R. L.; Weinstein, M. I. 3 1995 Asymptotic stability of solitary waves. Zbl 0805.35117Pego, Robert L.; Weinstein, Michael I. 132 1994 Oscillatory instability of traveling waves for a KdV-Burgers equation. Zbl 0787.76031Pego, Robert L.; Smereka, Peter; Weinstein, Michael I. 45 1993 Nonconservative hybrid shock capturing schemes. Zbl 0781.65076Harabetian, Eduard; Pego, Robert 6 1993 Evans’ function, Melnikov’s integral, and solitary wave instabilities. Zbl 0790.35093Pego, Robert L.; Weinstein, Michael I. 5 1993 Nonlinear stability and asymptotic behavior of shearing motions of a non- Newtonian fluid. Zbl 0783.76011Nohel, John A.; Pego, Robert L. 3 1993 Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065Pego, Robert L.; Weinstein, Michael I. 160 1992 Stabilization in a gradient system with a conservation law. Zbl 0751.34024Pego, Robert L. 6 1992 Stable patterns in a viscous diffusion equation. Zbl 0738.35035Novick-Cohen, A.; Pego, R. L. 59 1991 On the dynamics of fine structure. Zbl 0791.35030Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J. 39 1991 Invariant manifolds for metastable patterns in \(u_ t = \varepsilon{}^ 2 u_{xx} - f(u)\). Zbl 0738.35023Carr, Jack; Pego, Robert 35 1990 Stability of discontinuous steady states in shearing motions of a non- Newtonian fluid. Zbl 0702.76011Nohel, John A.; Pego, Robert L.; Tzavaras, Athanasios E. 10 1990 Front migration in the nonlinear Cahn-Hilliard equation. Zbl 0701.35159Pego, R. L. 159 1989 Metastable patterns in solutions of \(u_ t=\epsilon ^ 2u_{xx}-f(u)\). Zbl 0685.35054Carr, J.; Pego, R. L. 141 1989 Very slow phase separation in one dimension. Zbl 0991.35515Carr, J.; Pego, R. L. 14 1989 Instabilities in Glimm’s scheme for two systems of mixed type. Zbl 0663.73010Pego, Robert L.; Serre, Denis 10 1988 Some explicit resonating waves in weakly nonlinear gas dynamics. Zbl 0669.76104Pego, Robert L. 9 1988 Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability. Zbl 0648.73017Pego, Robert L. 74 1987 Phase transitions in one dimensional nonlinear viscoelasticity: Admissibility and stability. Zbl 0656.73023Pego, Robert L. 5 1987 Nonexistence of a shock layer in gas dynamics with a nonconvex equation of state. Zbl 0652.76047Pego, Robert L. 7 1986 Stability in systems of conservation laws with dissipation. Zbl 0599.35081Pego, Robert L. 2 1986 Stable viscosity matrices for systems of conservation laws. Zbl 0512.76067Majda, Andrew; Pego, Robert L. 54 1985 Compactness in \(L^ 2\) and the Fourier transform. Zbl 0589.46020Pego, Robert L. 24 1985 Remarks on the stability of shock profiles for conservation laws with dissipation. Zbl 0581.35066Pego, Robert L. 14 1985 Stable viscosities and shock profiles for systems of conservation laws. Zbl 0512.76068Pego, Robert L. 13 1984 Linearized stability of extreme shock profiles in systems of conservation laws with viscosity. Zbl 0544.35057Pego, Robert L. 6 1983 Linearized stability of extreme shock profiles for systems of conservation laws with viscosity. Zbl 0528.35061Pego, Robert L. 2 1983 all cited Publications top 5 cited Publications 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 all top 5 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. 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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. 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Mathematical, Physical and Engineering Sciences 2 International Journal of Engineering Science 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) ...and 146 more Serials all top 5 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) Citations by Year