Self-Similar Blow-Up Profiles for a Reaction-Diffusion Equation with Strong Weighted Reaction

Iagar Razvan Gabriel; Sánchez Ariel

doi:10.1515/ans-2020-2104

Advanced Nonlinear Studies (Nov 2020)

Self-Similar Blow-Up Profiles for a Reaction-Diffusion Equation with Strong Weighted Reaction

Iagar Razvan Gabriel,
Sánchez Ariel

Affiliations

Iagar Razvan Gabriel: Departamento de Matemática Aplicada, Ciencia e Ingenieria de los Materiales y Tecnologia Electrónica, Universidad Rey Juan Carlos, Móstoles, 28933, Madrid, Spain
Sánchez Ariel: Departamento de Matemática Aplicada, Ciencia e Ingenieria de los Materiales y Tecnologia Electrónica, Universidad Rey Juan Carlos, Móstoles, 28933, Madrid, Spain

DOI: https://doi.org/10.1515/ans-2020-2104
Journal volume & issue: Vol. 20, no. 4
pp. 867 – 894

Abstract

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We study the self-similar blow-up profiles associated to the following second-order reaction-diffusion equation with strong weighted reaction and unbounded weight:

Published in Advanced Nonlinear Studies

ISSN: 1536-1365 (Print); 2169-0375 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/ans/html

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