Relative entropy method for the relaxation limit of hydrodynamic models
Relative entropy method for the relaxation limit of hydrodynamic models
<p style='text-indent:20px;'>We show how to obtain general nonlinear aggregation-diffusion models, including Keller-Segel type models with nonlinear diffusions, as relaxations from nonlocal compressible Euler-type hydrodynamic systems via the relative entropy method. We discuss the assumptions on the confinement and interaction potentials depending on the relative energy of the free energy functional …