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:

Teaching in Spring 2012:   21832: Partial Differential Equations II

Previous semesters:   21-131,   21-132,   21-235,   21-630,   21-640,   21-720,   21-732

Former Ph.D. students

Activities:

• Editor-in-Chief: SIAM Journal on Mathematical Analysis
• Organizer:
  • ICIAM 2011 minisymposium: Stochastic coalescence and random growth models
  • ICIAM 2011 minisymposium: High order projection methods for incompressible viscous flow
  • CNA Workshop on Incompressible Fluids, Turbulence and Mixing, October 13-16, 2011
• Speaker:
  • Mathematical Society of Japan, Seasonal Institute, Kyushu University, Sept 12-21, 2011.
  • Colombian Mathematics Congress, Bucaramanga, July 11-15, 2011.
  • Distinguished Lectures, Iowa State University, Ames, May 3-7, 2011.
  • IMACS conference: Nonlinear Evolution Equations and Wave Phenomena, Athens, GA, April 4-7, 2011.
  • Postdoctoral Academy in Mathematics at the Universidade Nova de Lisbon, Sept. 23-24, 2010.
  • CoLab Summer School on Kinetics and Statistical Methods for Complex Particle Systems", Lisbon.
      Lecture notes are here (last updated Aug 19, 2009)
  • Topical speaker, SIAM Annual Meeting, July 6-10, 2009.

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  Recent publications:

  • (with T. Mizumachi and José Raúl Quintero) Asymptotic stability of solitary waves in the Benney-Luke model of water waves, 12-CNA-002,   arXiv:1202.0450
  
  
  • (with Shu-Ming Sun) Asymptotic linear stability of solitary water waves, 10-CNA-15,   arXiv:1009.0494
  
  
  • (with J.-G. Liu and J. Liu) Stable and accurate pressure approximation for unsteady incompressible viscous flow, J. Comp. Phys. 229 (2010) 3428-3453.   preprint
  
  
  • (with E. Cozzi) On optimal estimates for the Laplace-Leray commutator in planar domains with corners,   Proc. Amer. Math. Soc. 139 (2011) 1691-1706.   preprint
  
  
  • (with R. Kollár) Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature,   Applied Math. Res. Express, online   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,   Proc. Roy. Soc. Edin. A 140 (2010) 553-571.   09-CNA-003
  
  
  • (with G. Menon and B. Niethammer) Dynamics and self-similarity in min-driven clustering,   Trans. Amer. Math. Soc. 362 (2010) 6591-6618.   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 articles on MathSciNet (subscription)

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