Global existence for reaction-diffusion systems on multiple domains
William E. Fitzgibbon, Jeff Morgan, Joh Maurice-Car Ryan
TL;DR
This paper investigates the conditions under which solutions to reaction-diffusion systems on multiple overlapping domains exist globally, accounting for mass control and cross-domain interactions.
Contribution
It extends existing results to systems with multiple, intersecting domains and interdependent unknowns, broadening the understanding of reaction-diffusion dynamics.
Findings
Established conditions for global existence of solutions
Extended previous models to multiple intersecting domains
Analyzed impact of cross-domain interactions on system behavior
Abstract
We study the global existence of solutions reaction-diffusion systems with control of mass on multiple domains. Some of these domains overlap, and as a result, an unknown defined on one subdomain can impact another unknown defined on a different domain that intersects with the first. Our results extend those in \cite{fmty}.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Stability and Controllability of Differential Equations · Mathematical Biology Tumor Growth