Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Elmehdi Zaouche"'
Publikováno v:
Opuscula Mathematica, Vol 42, Iss 1, Pp 5-29 (2022)
By choosing convenient test functions and using the method of doubling variables, we prove the uniqueness of the solution to a nonlinear evolution dam problem in an arbitrary heterogeneous porous medium of \(\mathbb{R}^n\) (\(n\in \{2,3\}\)) with an
Externí odkaz:
https://doaj.org/article/9ed42ce702a841bcbe430d401d0d8a9b
Autor:
Elmehdi Zaouche
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 169,, Pp 1-17 (2018)
In this article, we consider an evolution dam problem with heterogeneous coefficients of type $a(x_1)(u_{x_2}+\chi)_{x_2}-\chi_t=0$ in a bounded rectangular domain of $\mathbb{R}^2$. We establish uniqueness of the solution for this problem. Our p
Externí odkaz:
https://doaj.org/article/ecdc852b629b4c9b850993afb535dbc8
Autor:
Elmehdi Zaouche, Mahmoud Bousselsal
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:66-90
Autor:
Elmehdi Zaouche
Publikováno v:
Applicable Analysis. 101:1261-1270
This article concerns the following class of nonlocal nonhomogeneous elliptic problems: −∫Ωg(x,u)dxβdiv(a(x)∇u)=(g(x,u))αin Ω,u=0on ∂Ω, where Ω is a bounded domain of Rn(n≥1), α, β∈R, a(x) is a matrix with variable coefficients
Autor:
Elmehdi Zaouche
Publikováno v:
Glasnik matematički
Volume 55
Issue 1
Volume 55
Issue 1
This paper is concerned with an uniqueness of solution of the weak formulation of an evolution dam problem related to a compressible fluid flow through a two-dimensional, rectangular and heterogeneous porous medium. Note that our problem associated w
Autor:
Elmehdi Zaouche
Publikováno v:
Mediterranean Journal of Mathematics. 18
By means of the Galerkin method, we prove the existence of a nontrivial weak solution for two Kirchhoff type elliptic problems under weak hypotheses on the nonlocal terms M, S and the nonlinearities f, g specified later. Moreover, for each problem, w
Autor:
Elmehdi Zaouche
Publikováno v:
2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI).
In this work, we consider the weak formulation of the evolution dam problem related to a compressible fluid flow governed by a nonlinear Darcy’s law. We prove the continuity in time of weak solutions for this problem which represents an extension o
Existence theorems of nontrivial and positive solutions for nonlocal inhomogeneous elliptic problems
Autor:
Elmehdi Zaouche
Publikováno v:
Ricerche di Matematica.
We use an approximation method to prove the existence of nontrivial weak solutions for two nonlocal inhomogeneous elliptic problems in a bounded domain $$\Omega $$ of $${\mathbb {R}}^n \, (n\ge 1)$$ under weak conditions on the diffusion coefficients
Publikováno v:
Glasnik matematički
Volume 53
Issue 2
Volume 53
Issue 2
We consider a class of parabolic free boundary problems with heterogeneous coefficients including, from a physical point of view, the evolutionary dam problem. We establish existence of a solution for this problem. We use a regularized problem for wh
Autor:
Mahmoud Bousselsal, Elmehdi Zaouche
Publikováno v:
Mediterranean Journal of Mathematics. 17
We consider a class of a nonlocal heterogeneous elliptic problem of type $$\begin{aligned} -M(|u|_{q}^{q})\,div(a(x)\nabla u)=g(x,u) \end{aligned}$$ with a homogeneous Dirichlet boundary condition. Under different assumptions on the function g, we es