Martial Agueh

Department of Mathematical Sciences
Carnegie Mellon University
Wean Hall, Rm 7218
Pittsburgh, PA, 15213

Phone: (412) 268-8483
e-mail: agueh@andrew.cmu.edu

Publications:

  1. Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Ph.D Dissertation (2002), Georgia Institute of Technology, USA.
  2. The Optimal evolution of the free energy of interacting gases and its applications. C.R. Math. Acad. Sci. Paris, Ser. I 337 (2003) 173-178. (With N. Ghoussoub and X. Kang).
  3. Asymptotic behavior for doubly degenerate parabolic equations. C.R. Math. Acad. Sci. Paris, Ser. I 337 (2003) 331 - 336.
  4. Geometric inequalities via a general comparison principle for interacting gases. Geom. Funct. Anal., Vol 14 (2004) 215-244. (With N. Ghoussoub and X. Kang).
  5. Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Adv. Differential Equations., Vol 10, No 3 (2005) 309-360.

Preprints:

  1. Rates of decay to equilibria for p-Laplacian type equations (2005).
  2. Nonlinear Stability for Steady Channel Flow with Exponential Temperature Dependent Viscosity (2005) (With A. Vaidya).
  3. The Mother of many geometric inequalities. (2002) (With N. Ghoussoub and X. Kang).
  4. Geometric inequalities via a duality between certain quasilinear PDEs and Fokker-Planck equations. (2002) (With N. Ghoussoub and X. Kang).