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arXiv · 2301.10360

Existence of similarity profiles for diffusion equations and systems

Alexander Mielke·Stefanie Schindler
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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 \to -\infty$ and $x \to +\infty$. Theses similarity profiles solve a coupled system of nonlinear ODEs that can be treated by monotone operator theory.

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Alexander Mielke, Stefanie Schindler. 2023-01-25. Existence of similarity profiles for diffusion equations and systems. https://arxiv.org/abs/2301.10360

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