A note on existence of patterns on surfaces of revolution with nonlinear flux on the boundary

Sônego, Maicon: A note on existence of patterns on surfaces of revolution with nonlinear flux on the boundary. Electronic journal of qualitative theory of differential equations 49. pp. 1-8. (2019)

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Abstract

In this note we address the question of existence of non-constant stable stationary solution to the heat equation on surfaces of revolution subject to nonlinear boundary flux involving a positive parameter. Our result is independent of the surface geometry and, in addition, we provide the asymptotic profile of the solutions and some examples where the result applies.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 49
Page Range: pp. 1-8
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.49
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 7-8. ; összefoglalás angol nyelven
Date Deposited: 2019. Sep. 30. 08:35
Last Modified: 2019. Sep. 30. 09:39
URI: http://acta.bibl.u-szeged.hu/id/eprint/62273

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