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Preprints, Working Papers, ... Year : 2024

Collapsing-ring blowup solutions for the nonlinear heat equation

Abstract

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 [BFG10]. We also prove the stability of these dynamics among radially symmetric solutions.
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Dates and versions

hal-04609030 , version 1 (12-06-2024)

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Senhao Duan, Nejla Nouaili, Hatem Zaag. Collapsing-ring blowup solutions for the nonlinear heat equation. 2024. ⟨hal-04609030⟩
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