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

Teaching in fall 2008:   21-131: Analysis I  

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

Former Ph.D. students

Most recent publications:

• (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) Error estimates for finite-element Navier-Stokes solvers with explicit time stepping for pressure .   06-CNA-005


• (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.

Activities:

• CNA Working group on Complex Fluids and Transport  
• Associate Director, Center for Nonlinear Analysis
• Editor-in-Chief, SIAM Journal on Mathematical Analysis