Blowup solutions for the shadow limit model of singular Gierer-Meinhardt system with critical parameters
Analysis of PDEs
2021-06-15 v1
Abstract
We consider a nonlocal parabolic PDE, which may be regarded as the standard semilinear heat equation with power nonlinearity, where the nonlinear term is divided by some Sobolev norm of the solution. In this paper, we are interested in constructing blowup solutions under some critical regimes. We had a complete new phenomenon of the blowup speed with a log correction term.
Keywords
Cite
@article{arxiv.2106.07481,
title = {Blowup solutions for the shadow limit model of singular Gierer-Meinhardt system with critical parameters},
author = {G. K. Duong and T. E. Ghoul and N. I. Kavallaris and H. Zaag},
journal= {arXiv preprint arXiv:2106.07481},
year = {2021}
}
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