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arXiv · 2205.09407

Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension

Razvan Gabriel Iagar·Marta Latorre·Ariel Sánchez
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Abstract

We classify all the blow-up solutions in self-similar form to the following reaction-diffusion equation $$ \partial_tu=\Delta u^m+|x|^{\sigma}u^p, $$ posed for $(x,t)\in\real^N\times(0,T)$, with $m>1$, $1\leq p 0$.

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Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez. 2022-05-19. Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension. https://arxiv.org/abs/2205.09407

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