Universality in blow-up for nonlinear heat equations

DOI10.1088/0951-7715/7/2/011zbMATH Open0857.35018arXivchao-dyn/9306007OpenAlexW3104461545MaRDI QIDQ4862497

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Publication date: 9 March 1997

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Abstract: We consider the classical problem of the blowing-up of solutions of the nonlinear heat equation. We show that there exist infinitely many profiles around the blow-up point, and for each integer $k$, we construct a set of codimension $2k$ in the space of initial data giving rise to solutions that blow-up according to the given profile.

Full work available at URL: https://arxiv.org/abs/chao-dyn/9306007

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Related Items (3)

Universal bound for global solution of nonlinear heat equation ⋮ Asymptotics for nonlinear integral equations with a generalized heat kernel using renormalization group technique ⋮ Refined uniform estimates at blow-up and applications for nonlinear heat equations

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