Existence of solutions to Burgers equations in a non-parabolic domain
| dc.contributor.author | Benia, Yassine | |
| dc.contributor.author | Sadallah, Boubaker-Khaled | |
| dc.date.accessioned | 2021-12-20T20:43:33Z | |
| dc.date.available | 2021-12-20T20:43:33Z | |
| dc.date.issued | 2018-01-15 | |
| dc.description.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]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15075 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Burgers equation | |
| dc.subject | Existence | |
| dc.subject | Uniqueness | |
| dc.subject | Non-parabolic domains | |
| dc.subject | Anisotropic Sobolev space | |
| dc.title | Existence of solutions to Burgers equations in a non-parabolic domain | |
| dc.type | Article |