Top-level heading

Relative entropy methods and relaxation limits

Data e ora inizio evento
Data e ora fine evento
Sede

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Aula
Sala di Consiglio
Speaker ed affiliazione

Corrado Lattanzio (Università di L'Aquila)

We shall analyze relative entropy methods in connections with singular limits, both for the hyperbolic-to-hyperbolic and for the hyperbolic-to-parabolic relaxations. For the former case, we recall in particular the results proved in [Lattanzio, Tzavaras, ARMA 2006] for the hyperbolic stress relaxation limit for multidimensional elasticity. Moreover, for diffusive relaxations, we obtain a relative entropy estimate in the general case of a large friction theory converging toward gradient flow equations. The framework considered applies in particular to the Euler equations with large friction converging toward the porous medium equation [Lattanzio, Tzavaras, SIMA 2013], and to the diffusive relaxation limits for Keller-Segel type models and for Euler-Korteweg equations with large friction.