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Carnegie Mellon NSF logoCenter for Nonlinear Analysis
Henri Berestycki
Afilliation: L'École des Hautes Études En Sciences Sociales

Title: The Explosion Problem with a Flow

Abstract: The classical explosion problem or Gelfand problem is a semi-linear elliptic equation with exponential non linearity and a parameter. My talk is about aspects of this problem when one further takes into account the effect of an incompressible flow. I will report here on joint works with X. Cabre, A. Kiselev, A. Novikov and L. Ryzhik