Singular Limits for 4-Dimensional General Stationary Q-Kuramoto-Sivashinsky Equation (Q-Kse) with Exponential Nonlinearity-Reference-Cited by-同舟云学术

Singular Limits for 4-Dimensional General Stationary Q-Kuramoto-Sivashinsky Equation (Q-Kse) with Exponential Nonlinearity

Published:2016-11-01 Issue:3 Volume:24 Page:295-337
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Ouni Taieb¹,Baraket Sami²,Khtaifi Moufida²

Affiliation:

1. Department of Mathematics, College of Sciences and Human Studies at Howtat Sudair, Majmaah University, Majmaah 11982, Saudi Arabia

2. Département de Mathématiques, Faculté des Sciences de Tunis. Campus Universitaire, 2092 Tunis , Tunisia

Abstract

Abstract Let Ω be a bounded domain in with smooth boundary, and let 𝓧1; 𝓧2; · · ·, 𝓧m be points in Ω. We are concerned with the singular stationary non-homogenous q-Kuramoto-Sivashinsky eaquation (q-KSE:

where we use some nonlinear domain decomposition method to give a suficient condition to have a positive weak solution u in Ω under the physical Dirichlet-like boundary conditions , which is singular at each 𝓧i as the parameters λ, ϒ and ρ tend to 0 and where q ∈ [1, 4] is a real number.

Publisher

Walter de Gruyter GmbH

Reference27 articles.

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