Results 41 to 50 of about 712 (60)

Sign-Changing Solutions for the One-Dimensional Non-Local sinh-Poisson Equation

Advanced Nonlinear Studies, 2020
We study the existence of sign-changing solutions for a non-local version of the sinh-Poisson equation on a bounded one-dimensional interval I, under Dirichlet conditions in the exterior of I.
DelaTorre Azahara, Mancini Gabriele, Pistoia Angela   +2 more
doaj   +1 more source

Uniqueness of limit flow for a class of quasi-linear parabolic equations

Advances in Nonlinear Analysis, 2017
We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity ...
Squassina Marco, Watanabe Tatsuya
doaj   +1 more source

Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator

Open Mathematics
In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator.
Dukenbayeva Aishabibi
doaj   +1 more source

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

Advanced 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, Han Jiangbo, Xu Runzhang, Yang Chao, Zhang Meina   +4 more
doaj   +1 more source

Blow-Up Results for Higher-Order Evolution Differential Inequalities in Exterior Domains

Advanced Nonlinear Studies, 2019
We consider a higher-order evolution differential inequality in an exterior domain of ℝN{\mathbb{R}^{N}}, N≥3{N\geq 3}, with Dirichlet and Neumann boundary conditions.
Jleli Mohamed, Kirane Mokhtar, Samet Bessem   +2 more
doaj   +1 more source

Existence of positive radial solutions of general quasilinear elliptic systems

Advances in Nonlinear Analysis
Let Ω⊂Rn(n≥2)\Omega \subset {{\mathbb{R}}}^{n}\hspace{0.33em}\left(n\ge 2) be either an open ball BR{B}_{R} centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form Δpu=f1(∣
Devine Daniel
doaj   +1 more source

Blow-up of waves on singular spacetimes with generic spatial metrics. [PDF]

Lett Math Phys, 2022
Fajman D, Urban L.
europepmc   +1 more source

Concentration with a single sign-changing layer at the higher critical exponents

Advances in Nonlinear Analysis, 2018
We exhibit a new concentration phenomenon for the supercritical ...
Clapp Mónica, Faya Jorge
doaj   +1 more source

On blow-up for the supercritical defocusing nonlinear wave equation

Forum of Mathematics, Pi
In this paper, we consider the defocusing nonlinear wave equation $-\partial _t^2u+\Delta u=|u|^{p-1}u$ in $\mathbb {R}\times \mathbb {R}^d$ .
Feng Shao, Dongyi Wei, Zhifei Zhang
doaj   +1 more source

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

, 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