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 spring 2009: 21-132: Analysis II

Coming in fall 2009: 21-720: Measure and Integration (pdf outline)

Previous semesters: 21-131: Analysis I 21-235, 21-235, 21-630, 21-640

Former Ph.D. students

Most recent publications:

(with J.-G. Liu) Stable discretization of magnetohydrodynamics in bounded domains, 08-CNA-018

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

(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:

CNA Working group on Deterministic and Stochastic models of Aggregation
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.
CNA Workshop on Energy-Driven Systems, August 26-28, 2009