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Blowup solutions for the shadow limit model of singular Gierer-Meinhardt system with critical parameters
- Publication Year :
- 2021
-
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.<br />Comment: 40
- Subjects :
- Mathematics - Analysis of PDEs
Primary: 35K05, 35B40, Secondary: 35K55, 35K57
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2106.07481
- Document Type :
- Working Paper