Results 51 to 60 of about 1,254 (85)

Blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients under Neumann boundary conditions

open access: yesOpen Mathematics, 2020
In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions.
Tian Huimin, Zhang Lingling
doaj   +1 more source

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

open access: yesOpen 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

Global existence, asymptotic behavior, and finite time blow up of solutions for a class of generalized thermoelastic system with p-Laplacian

open access: yesAdvances in Nonlinear Analysis
In this work, we examine the initial boundary value problem for the thermoelastic system with pp-Laplacian, subject to a novel nonlinearity condition within a bounded domain.
Chen Yuxuan
doaj   +1 more source

A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization

open access: yes, 2015
We propose a new blow-up criterion for the 3D Euler equations of incompressible fluid flows, based on the 3D Euler-Voigt inviscid regularization. This criterion is similar in character to a criterion proposed in a previous work by the authors, but it is ...
Larios, Adam, Titi, Edriss S.
core  

Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian

open access: yesAdvanced Nonlinear Studies
In the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian.
Chen Shaohua   +4 more
doaj   +1 more source

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

open access: yesAdvanced 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

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

open access: yesAdvances 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

Existence and stability of fourth-order nonlinear plate problem

open access: yesNonautonomous Dynamical Systems, 2019
In this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.
Messaoudi Salim A., Mukiawa Soh Edwin
doaj   +1 more source

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