Existence and uniqueness analysis of a non-isothermal cross-diffusion system of Maxwell-Stefan type
Harsha Hutridurga, Francesco Salvarani
TL;DR
This paper proves the local-in-time existence and uniqueness of solutions for a non-isothermal cross-diffusion system modeled after Maxwell-Stefan equations, advancing mathematical understanding of such complex systems.
Contribution
It provides the first rigorous proof of existence and uniqueness for this class of non-isothermal Maxwell-Stefan type systems.
Findings
Established local-in-time existence of solutions
Proved uniqueness of solutions under certain conditions
Contributed to the mathematical theory of cross-diffusion systems
Abstract
In this article we prove local-in-time existence and uniqueness of solution to a non-isothermal cross-diffusion system with Maxwell-Stefan structure.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Mathematical Biology Tumor Growth · Stability and Controllability of Differential Equations