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Nombre de programmes trouvés : 745
Conférences

le (50m19s)

Hiroshi Matano : Spreading speed for some two-component reaction-diffusion system

Premier atelier de l'ERC « Reaction-Diffusion Equations, Propagations and Modelling » Journées d'étude organisées par Henri Berestycki et Jean-Michel Roquejoffre  EHESS, 24-25 septembre 2013 Séquence 1: Hiroshi Matano (University of Tokyo) Spreading speed for some two-component reaction-diffusion system In this talk I will discuss the spreading properties of solutions of a prey-predator type reaction-diffusion system. This system belongs to the class of reaction-diffusion systems for which the comparison principle does not hold. For such class of systems, little has been know about the spreading properties of the solutions.  Here, ...
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Conférences

le (1h1m11s)

Xavier Cabré : Nonlinear elliptic and Fisher-KPP equations with fractional diffusion

Premier atelier de l'ERC « Reaction-Diffusion Equations, Propagations and Modelling »  Journées d'étude organisées par Henri Berestycki et Jean-Michel Roquejoffre  EHESS, 24-25 septembre 2013Xavier Cabré 2 (ICREA and UPC, Barcelona) Nonlinear elliptic and Fisher-KPP equations with fractional diffusion I will first describe the basic ideas concerning fractional Laplacians, as well as the essential tools to treat nonlinear equations involving   these operators. I will then present recent results on fractional   semilinear elliptic equations (mainly of Allen-Cahn type) and on front propagation for fractional Fisher-KPP type equations.
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Conférences

le (1h3m15s)

Alessandro Zilio: Strongly competing systems with fractional diffusion: uniform regularity results


Journées ERC ReaDi 12-13 novembre 2013 Alessandro Zilio (Politecnico di Milano)Strongly competing systems with fractional diffusion: uniform regularity results In this talk I will focus on some recent results obtained in collaboration with S. Terracini and G. Verzini about the optimal regularity of solution to systems characterized by nonstandard diffusion and strong competition. In particular, it will be shown that the type of competition strongly affects both the regularity of the solutions and the geometry of the segregated states obtained in the limiting case of infinite competition.
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Conférences

le (1h4m1s)

Feng Luo - Discrete conformal geometry of polyhedral surfaces and its convergence

Our recent joint work with D. Gu established a discrete version of the uniformization theorem for compact polyhedral surfaces.   In this talk, we prove that discrete uniformizaton maps converge to conformal maps when the triangulations are sufficiently fine chosen.  We will also discuss the relationship between the discrete uniformization theorem and convex polyhedral surfaces  in the hyperbolic 3-space.  This is a joint work with J. Sun and T. Wu.
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