Well-Posedness for the Reaction-Diffusion Equation with Temperature in a critical Besov Space
Analysis of PDEs
2021-02-03 v2
Abstract
We derive a model for the non-isothermal reaction-diffusion equation. Combining ideas from non-equilibrium thermodynamics with the energetic variational approach we obtain a general system modeling the evolution of a non-isothermal chemical reaction with general mass kinetics. From this we recover a linearized model for a system close to equilibrium and we analyze the global-in-time well-posedness of the system for small initial data for a critical Besov space.
Keywords
Cite
@article{arxiv.2101.10419,
title = {Well-Posedness for the Reaction-Diffusion Equation with Temperature in a critical Besov Space},
author = {Chun Liu and Jan-Eric Sulzbach},
journal= {arXiv preprint arXiv:2101.10419},
year = {2021}
}