Seminario de Ecuaciones Diferenciales – Pierre Gabriel (Université de Versailles)

Event Details

Título: Convergence to the equilibrium for the growth-fragmentation equation

Conferenciante: Pierre Gabriel (Université de Versailles)

Resumen: The growth-fragmentation is a PDE of the transport type with a nonlocal source term. It models "populations" in which the "individuals" grow with a deterministic rate and splits randomly. Such models appear in biology, physics, or telecommunications. This equation, in its linear version, admits a dominant Perron eigenvalue associated to a positive eigenfunction. This provides a particular solution to the equation, which attracts all the others. In this talk we are interested in the speed of the convergence. We prove that, depending on the coefficients, there can exists or not an exponential rate of convergence. The proofs rely on semigroup techniques.

19 de abril de 2016, 12:45, Seminario 1ª planta IEMath-GR

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