Existence of solutions to Burgers equations in a non-parabolic domain
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Date
2018-01-15
Authors
Benia, Yassine
Sadallah, Boubaker-Khaled
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study the semilinear Burgers equation with time variable coefficients, subject to boundary condition in a non-parabolic domain. Some assumptions on the boundary of the domain and on the coefficients of the equation will be imposed. The right-hand side of the equation is taken in L2(Ω). The method we used is based on the approximation of the non-parabolic domain by a sequence of subdomains which can be transformed into regular domains. This paper is an extension of the work [2].
Description
Keywords
Burgers equation, Existence, Uniqueness, Non-parabolic domains, Anisotropic Sobolev space
Citation
Benia, Y., & Sadallah, B. K. (2018). Existence of solutions to Burgers equations in a non-parabolic domain. <i>Electronic Journal of Differential Equations, 2018</i>(20), pp. 1-13.
Rights
Attribution 4.0 International