Robert Pego

Robert Pego

Professor
Department of Mathematical Sciences
Carnegie Mellon University

Office: Wean Hall 6130
Phone: 412-268-2553
Fax: 412-268-6380
E-mail: rpego at cmu.edu

Research interests include:

Dynamics in infinite-dimensional physical systems, universal scaling behavior in models of clustering and coarsening, stability of nonlinear waves, numerical methods for incompressible viscous flow.

Teaching in Fall 2009: 21-720: Measure and Integration (pdf outline)

Previous semesters: 21-131, 21-132, 21-235, 21-235, 21-630, 21-640

Former Ph.D. students

Recent publications:

(with J.-G. Liu and J. Liu) Stable and accurate pressure approximation for unsteady incompressible viscous flow, J. Comp. Phys. (to appear) preprint

(with E. Cozzi) On optimal estimates for the Laplace-Leray commutator in planar domains with corners, arXiv:0912.3958

(with R. Kollar) Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature, 09-CNA-17

Minicourse lectures for PASI2009 (Mexico City): Dynamics and scaling in models of coarsening and coagulation

(with S. Dai and B. Niethammer) Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag, 09-CNA-003

(with G. Menon and B. Niethammer) Dynamics and self-similarity in min-driven clustering, 08-CNA-013

(with J.-G. Liu) Stable discretization of magnetohydrodynamics in bounded domains, Comm. Math. Sci. 8 (2010) 234-251, 08-CNA-018

(with J.-G. Liu and J. Liu) Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions, Chinese Annals Math. B 30 (2009) 743-768. preprint

(with Tetsu Mizumachi) Asymptotic stability of Toda lattice solitons, Nonlinearity 21 (2008) 2099-2111. 07-CNA-008

(with Govind Menon) The scaling attractor and ultimate dynamics in Smoluchowski's coagulation equations, J. Nonl. Sci. 18 (2008) 143-190. 06-CNA-008

(with Govind Menon) Universality classes in Burgers turbulence, Comm. Math. Phys. 273 (2007) 177-202. 06-CNA-006

(with Govind Menon) Dynamical scaling in Smoluchowski's coagulation equations: uniform convergence. SIAM Review 48 (2006), no. 4, 745--768 pdf

(with J.-G. Liu and J. Liu) Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate, Comm. Pure Appl Math. 60 (2007) 1443--1487. preprint

Lectures on dynamics in models of coarsening and coagulation, in Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization (Lec. Notes Ser. Inst. Math. Sci., Nat. Univ. Singapore). Eds. Weizhu Bao and Jian-Guo Liu, World Scientific (Singapore) 2007. 06-CNA-001

(with G. Schneider and H. Uecker) Long-time persistence of Korteweg-de Vries solitons as transient dynamics in a model of inclined film flow, Proc. Roy. Soc. Edinburgh 137 (2007) 133-146.

List of my articles on MathSciNet (subscription)

Activities:

Associate Director, Center for Nonlinear Analysis
Editor-in-Chief, SIAM Journal on Mathematical Analysis
Topical speaker at the SIAM Annual Meeting, July 6-10, 2009.
Lecturer at CoLab Summer School on Kinetics and Statistical Methods for Complex Particle Systems", Lisbon.
Lecture notes are here (last updated Aug 19, 2009)
CNA Workshop on Energy-Driven Systems, August 26-28, 2009
CNA Working group on Deterministic and Stochastic models of Aggregation