2026 Robert L. Pego: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	36	2610	2328	1076	903	118	6602

Research.com Recognitions

2016 - Fellow of the American Mathematical Society For contributions to partial differential equations and applied mathematics.
2009 - SIAM Fellow For advances in the analysis of nonlinear problems.

Overview

Robert L. Pego is affiliated with Carnegie Mellon University in the United States. Their research spans multiple areas primarily within mathematics and physics, reflecting an interdisciplinary approach to complex scientific problems.

The main fields of study for Robert L. Pego include:

Mathematics
Physics and Astronomy

Within these broader domains, their work further concentrates on several subfields:

Mathematical Physics
Statistical and Nonlinear Physics
Applied Mathematics
Condensed Matter Physics
Computational Theory and Mathematics

The topics they frequently explore in their research encompass:

Nonlinear Photonic Systems
Nonlinear Waves and Solitons
Advanced Mathematical Physics Problems
Theoretical and Computational Physics
Stochastic processes and statistical mechanics
Mathematical Dynamics and Fractals
Advanced Mathematical Modeling in Engineering

Recent publications authored or coauthored by Robert L. Pego include:

"Temporal oscillations in Becker-Döring equations with atomization" (2020), published in Nonlinearity
"On Long Waves and Solitons in Particle Lattices with Forces of Infinite Range" (2024), published in SIAM Journal on Applied Mathematics
"Global Weak Solutions of a Hamiltonian Regularised Burgers Equation" (2022), published in Journal of Dynamics and Differential Equations
"Oscillations in a Becker--Döring Model with Injection and Depletion" (2022), published in SIAM Journal on Applied Mathematics
"Two-Dimensional Grain Boundary Networks: Stochastic Particle Models and Kinetic Limits" (2020), published in Archive for Rational Mechanics and Analysis

Frequent coauthors working alongside Robert L. Pego include:

Benjamin Ingimarson
Jian-Guo Liu
Juan J. L. Velázquez
Gautam Iyer
Barbara Niethammer

Their scholarly work has appeared regularly in these venues:

arXiv (Cornell University)
Nonlinearity
SIAM Journal on Applied Mathematics
Journal of Dynamics and Differential Equations
Archive for Rational Mechanics and Analysis

Recognition for Robert L. Pego's contributions includes:

Fellow of the American Mathematical Society (2016), awarded for contributions to partial differential equations and applied mathematics
SIAM Fellow (2009), awarded for advances in the analysis of nonlinear problems

Best Publications

Front migration in the nonlinear Cahn-Hilliard equation

Robert L. Pego

589
Citations
Eigenvalues, and Instabilities of Solitary Waves

Robert L. Pego;Michael I. Weinstein

589
Citations
Metastable patterns in solutions of ut = ϵ2uxx − f(u)

J. Carr;R. L. Pego

545
Citations
Asymptotic stability of solitary waves

Robert L. Pego;Michael I. Weinstein

467
Citations
Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit

G Friesecke;R L Pego

305
Citations
Stable viscosity matrices for systems of conservation laws

Andrew Majda;Robert L Pego

278
Citations
Phase transitions in one-dimensional nonlinear viscoelasticity: admissibility and stability

Robert L. Pego

273
Citations
Stable patterns in a viscous diffusion equation

A. Novick-Cohen;R. L. Pego

183
Citations
Approach to self-similarity in Smoluchowski's coagulation equations

Govind Menon;Robert L. Pego

179
Citations
On the dynamics of fine structure

J. M. Ball;P. J. Holmes;Richard D James;R. L. Pego

166
Citations
Oscillatory instability of traveling waves for a KdV-Burgers equation

Robert L. Pego;Peter Smereka;Michael I. Weinstein

164
Citations
Solitary waves on FPU lattices: II. Linear implies nonlinear stability

G Friesecke;R L Pego

140
Citations
Spectrally Stable Encapsulated Vortices for Nonlinear Schrödinger Equations

Robert L. Pego;Henry A. Warchall

137
Citations
On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation

J.C. Alexander;R.L. Pego;R.L. Sachs

134
Citations
Solitary waves on Fermi Pasta Ulam lattices: III. Howland-type Floquet theory

G Friesecke;R L Pego

120
Citations
Invariant manifolds for metastable patterns in ut = ε2uxx—f(u)

Jack Carr;Robert Pego

117
Citations
Solitary waves on Fermi-Pasta-Ulam lattices: IV. Proof of stability at low energy

G Friesecke;R L Pego

116
Citations
Non-Self-Similar Behavior in the LSW Theory of Ostwald Ripening

Barbara Niethammer;Robert L. Pego

115
Citations
Two-dimensional solitary waves for a Benny-Luke equation

Robert L. Pego;José Raúl Quintero

107
Citations
Stable and accurate pressure approximation for unsteady incompressible viscous flow

Jian-Guo Liu;Jie Liu;Robert L. Pego

89
Citations
On asymptotic stability of solitary waves

Robert L. Pego;Michael I. Weinstein

37
Citations

Frequent Co-Authors

Michael I. Weinstein Columbia University

Pierre Degond Toulouse Mathematics Institute

Juan J. L. Velázquez University of Bonn

John H. Maddocks École Polytechnique Fédérale de Lausanne

Guido Schneider University of Stuttgart

C. David Levermore University of Maryland, College Park

James G. McNally National Institutes of Health

Philip Holmes Princeton University

Richard D. James University of Minnesota

Ellen D. Williams University of Maryland, College Park

External Links

Personal website of Robert L. Pego Google Scholar page

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