Existence of weak solutions for a pseudo parabolic system coupling chemical reactions, diffusion and momentum equations
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.