Results 41 to 50 of about 136 (109)

On a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions

This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via the acoustic boundary conditions on a portion of the boundary.
BOUKHATEM, Yamna, LIMAM, Abdelaziz, BENYATTOU, Benabderrahmane   +2 more
core   +1 more source

Qualitative properties of two-end solutions to the Allen–Cahn equation in R3 ${\mathbb{R}}^{3}$

Advanced Nonlinear Studies
A solution of the Allen–Cahn equation in R3 ${\mathbb{R}}^{3}$ is called a two-end solution if its nodal set is asymptotic to (x′,z)∈R3:z=ki⁡ln|x′|+ci,1≤i≤2 $\left\{\left({x}^{\prime },z\right)\in {\mathbb{R}}^{3}:z={k}_{i}\mathrm{ln}\vert {x}^{\prime }\
Liang Weizhao, Yang Jianmin
doaj   +1 more source

Strongly nonlinear periodic parabolic equation in Orlicz spaces

In this paper, we prove the existence of a weak solution to the following  nonlinear periodic parabolic equations in Orlicz-spaces: $$\frac{\partial u}{\partial t}-div(a(x,t,\nabla u))=f(x,t)$$ where  $-div(a (x,t,\nabla u))$ is a Leray-Lions ...
ELHOUSSINE, Azroul, GHITA, Erriahi Elidrissi, ABDELILAH, Lamrani Alaoui   +2 more
core   +1 more source

Regular and irregular solutions for a class of elliptic systems in the critical dimension

, 2020
We study regularity properties of weak solutions in the Sobolev space W 1,n 0 to inhomogeneous elliptic systems under a natural growth condition and on bounded Lipschitz domains in R n , i. e.
Lisa Beck, Jens Frehse
core  

Qualitative properties of solutions to the viscoelastic beam equation with damping and logarithmic nonlinear source terms

Advances in Nonlinear Analysis
In this article, we consider the initial-boundary value problem for a class of viscoelastic extensible beam equations with logarithmic source term, strong damping term, and weak damping term.
Gao Yanchao, Pan Bingbai
doaj   +1 more source

Theory for the div-curl System

, 2014
The purpose of this paper is to solve the div-curl system in the framework of L p theory. We shall give some sufficient conditions for the existence of solutions, and give the estimates of the solutions by the given data.
Junichi Aramaki
core  

Global well-posedness for the generalized Keller-Segel system in critical Besov-Morrey spaces with variable exponent

This article is devoted to studying the generalized Keller-Segel system (GKS) in homogeneous variable exponent Besov-Morrey spaces. By making use of the Littlewood-Paley theory and the Chemin mono-norm methods, we obtain, when 1/2< β ≤ 1, a global ...
EL IDRISSI, Ahmed, OUIDIRNE, Fatima, EL GHORDAF, Jalila, EL BOUKARI, Brahim   +3 more
core   +1 more source

Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

Advances in Nonlinear Analysis
The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of the ...
Li Bin
doaj   +1 more source

On isolated singularities of Kirchhoff equations

Advances in Nonlinear Analysis, 2020
In this note, we study isolated singular positive solutions of Kirchhoff ...
Chen Huyuan, Fall Mouhamed Moustapha, Zhang Binling   +2 more
doaj   +1 more source

Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems

Open Mathematics, 2020
The aim of this paper is to investigate a class of nonlinear stochastic reaction-diffusion systems involving fractional Laplacian in a bounded domain. First, the existence and uniqueness of weak solutions are proved by using Galërkin’s method.
Fu Yongqiang, Yan Lixu
doaj   +1 more source