Existence of similarity profiles for diffusion equations and systems

We study the existence of similarity profiles for diffusion equations and reaction diffusion systems on the real line, where the different nontrivial limits are imposed for x→-∞and x→+∞. These similarity profiles solve a coupled system of nonlinear ODEs that can be treated by monotone operator theory.

Publication Details

Journal
edoc Publication server (Humboldt University of Berlin)
Published
2024-12-11
DOI
https://doi.org/10.18452/31493
Primary Topic
Mathematical Biology Tumor Growth
Type
article
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article

Existence of similarity profiles for diffusion equations and systems

edoc Publication server (Humboldt University of Berlin)
Mathematical Biology Tumor Growth
article

Existence of similarity profiles for diffusion equations and systems

article en

Abstract

We study the existence of similarity profiles for diffusion equations and reaction diffusion systems on the real line, where the different nontrivial limits are imposed for x→-∞and x→+∞. These similarity profiles solve a coupled system of nonlinear ODEs that can be treated by monotone operator theory.

edoc Publication server (Humboldt University of Berlin)
Openalex Percentile: Top 59%
Mathematical Biology Tumor Growth
DOIOpen Access PDFOpenAlex
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Existence of similarity profiles for diffusion equations and systems · edoc Publication server (Humboldt University of Berlin) (2024) | TGRS Research Map | TGRS