Invariance of the support of solutions for a sixth-order thin film equation

Changchun Liu; Xiaoli Zhang

doi:10.1016/j.crma.2015.10.002

Partial differential equations

Invariance of the support of solutions for a sixth-order thin film equation
[Invariance du support des solutions d'une équation du sixième ordre modélisant un film mince]

Présenté par : the Editorial Board

Changchun Liu ¹ ; Xiaoli Zhang ¹

¹ Department of Mathematics, Jilin University, Changchun 130012, China

Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 69-73.

Résumé
Abstract

Dans cet article, on étudie l'invariance des solutions d'une équation parabolique du sixième ordre issue d'une application industrielle, l'isolement de l'oxydation du silicium. À partir d'inégalités intégrales, on établit l'invariance du support des solutions.

In this paper, we study the invariance of the support of solutions for a sixth-order nonlinear parabolic equation, which arises in the industrial application of the isolation oxidation of silicium. Based on the suitable integral inequalities, we establish the invariance of the support of solutions.

Reçu le : 2015-06-15
Accepté le : 2015-10-02
Publié le : 2015-10-29

DOI : 10.1016/j.crma.2015.10.002

Mots clés : Sixth order nonlinear parabolic equation, Degenerate, Invariance of support

Affiliations des auteurs :

Changchun Liu ¹ ; Xiaoli Zhang ¹

¹ Department of Mathematics, Jilin University, Changchun 130012, China

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Changchun Liu; Xiaoli Zhang. Invariance of the support of solutions for a sixth-order thin film equation. Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 69-73. doi : 10.1016/j.crma.2015.10.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.10.002/

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Cité par Sources :

^☆ This work is supported by the National Natural Science Foundation of China (No. 11471164).

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