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arXiv · 2210.14050

Non-simultaneous blow-up for a system with local and non-local diffusion

Leandro M. Del Pezzo·Raul Ferreira
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Abstract

We study the possibility of non-simultaneous blow-up for positive solutions of a coupled system of two semilinear equations, $u_t = J*u-u+ u^\alpha v^p$, $v_t =\Delta v^+u^qv^\beta$, $p, q, \alpha, \beta>0$ with homogeneous Dirichlet boundary conditions and positive initial data. We also give the blow-up rates for non-simultaneous blow-up.

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Leandro M. Del Pezzo, Raul Ferreira. 2022-10-25. Non-simultaneous blow-up for a system with local and non-local diffusion. https://doi.org/10.1007/s00028-023-00896-w

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