Collapsing-ring blowup solutions for the nonlinear heat equation
In this paper, we construct a singular standing ring solution of the nonlinear heat in the radial case. We give rigorous proof for the existence of a ring blow-up solution in finite time. This result was predicted formally by Baruch, Fibich and Gavish \cite{BFGpd10}. We also prove the stability of t...
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Main Authors | , , |
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Format | Journal Article |
Language | English |
Published |
06.06.2024
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Subjects | |
Online Access | Get full text |
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Summary: | In this paper, we construct a singular standing ring solution of the
nonlinear heat in the radial case. We give rigorous proof for the existence of
a ring blow-up solution in finite time. This result was predicted formally by
Baruch, Fibich and Gavish \cite{BFGpd10}. We also prove the stability of these
dynamics among radially symmetric solutions. |
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DOI: | 10.48550/arxiv.2406.04422 |