On the structure of entropy solutions to the Riemann problem for a degenerate nonlinear parabolic equation
Analysis of PDEs
2023-02-01 v1
Abstract
We find an explicit form of entropy solutions to a Riemann problem for a degenerate nonlinear parabolic equation with piecewise constant velocity and diffusion coefficients. It is demonstrated that this solution corresponds to the minimum point of some strictly convex function of a finite number of variables.
Keywords
Cite
@article{arxiv.2301.13292,
title = {On the structure of entropy solutions to the Riemann problem for a degenerate nonlinear parabolic equation},
author = {Evgeny Yu. Panov},
journal= {arXiv preprint arXiv:2301.13292},
year = {2023}
}