Nov 16 – 19, 2021
Polytech Lille
Europe/Paris timezone

The diffusive limit for a radiative heat transfer system

Nov 18, 2021, 5:30 PM
30m
Amphithéatre Lebon (Polytech Lille)

Amphithéatre Lebon

Polytech Lille

Contributed talk

Speaker

Mohamed Ghattassi (King Abdullah University of Science and Technology)

Description

In this work, we study the diffusive limit approximation for a radiative heat transfer system under three different types of boundary conditions. We prove the global existence of weak solutions for this system by using a Galerkin method. Using the compactness method and Young measure theory, we prove that the weak solution converges to a nonlinear diffusion model in the diffusive limit. Under more regularity conditions on the limit system, the diffusive limit is also analyzed by using a relative entropy method. In particular, we get a rate of convergence. The initial and boundary conditions are assumed to be well-prepared in the sense that no initial and boundary layer exist. This is joint work with Xiaokai HUO (TU Wien) and Nader MASMOUDI (Courant Institute, NYUAD)

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