Existence of weak solutions for a pseudo-parabolic system coupling chemical reactions, diffusion and momentum equations
Analysis of PDEs
2017-02-09 v1
Abstract
We study the weak solvability of a nonlinearly coupled system of parabolic and pseudo-parabolic equations describing the interplay between mechanics, chemical reactions, diffusion and flow in a mixture theory framework. Our approach relies on suitable discrete-in-time energy-like estimates and discrete Gronwall inequalities. In selected parameter regimes, these estimates ensure the convergence of the Rothe method for the discretized partial differential equations.
Keywords
Cite
@article{arxiv.1702.02481,
title = {Existence of weak solutions for a pseudo-parabolic system coupling chemical reactions, diffusion and momentum equations},
author = {Arthur J. Vromans and A. A. F. van de Ven and Adrian Muntean},
journal= {arXiv preprint arXiv:1702.02481},
year = {2017}
}
Comments
35 pages, 0 figures, submitted to European Journal of Applied Mathematics on February 7th 2017