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Global existence and uniform estimates of solutions to reaction diffusion systems with mass transport type boundary conditionsPublished in American Institute of Mathematical Sciences
2021
DOI: 10.3934/CPAA.2021001
Volume: 20
Issue: 2
Pages: 1 - 20
We consider reaction diffusion systems where components diffuse inside the domain and react on the surface through mass transport type boundary conditions. Under reasonable hypotheses, we establish the existence of component wise non-negative global solutions which are uniformly bounded in the sup norm. © 2020 American Institute of Mathematical Sciences. All rights reserved.
Topics: Boundary value problem (54)%54% related to the paper, Conservation of mass (54)%54% related to the paper, Reaction–diffusion system (53)%53% related to the paper, Uniform boundedness (53)%53% related to the paper and Uniform norm (52)%52% related to the paper
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Postprint Version
Content may be subject to copyright.This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Communications on Pure & Appli... ...This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Communications on Pure & Applied Analysis following peer review. The definitive publisher-authenticated version [Global existence and uniform estimates of solutions to reaction diffusion systems with mass transport type boundary conditions. Communications on Pure & Applied Analysis 0, 0 p1-20 (2021)] is available online at: https://doi.org/10.3934/CPAA.2021001
About the journal
| Journal | Communications on Pure and Applied Analysis |
|---|---|
| Publisher | American Institute of Mathematical Sciences |
| ISSN | 15340392 |
Authors (1)
(Late) Vandana Sharma- Department of Mathematics IIT Jodhpur
- Global existence of solutions to volume-surface reaction diffusion systems with dynamic boundary conditions
- Global existence and uniform estimates of solutions to reaction diffusion systems with mass transport type boundary conditions
- Finite element approximation of a spatially structured metapopulation PDE model
- Martin’s problem for volume-surface reaction-diffusion systems
