Relative entropy in diffusive relaxation

Abstract

We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum. The result is based on a Lyapunov type of functional provided by a calculation of the relative entropy. The relative entropy method is also employed to establish convergence from entropic weak solutions of viscoelasticity with memory to the system of viscoelasticity of the rate-type.

Updated to Authors' Accepted Manuscript version

References in corpus (2)

• Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics
• Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non BV perturbations

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