Results 1 to 10 of about 760 (78)

The Role of Initial Curvature in Solutions to the Generalized Inviscid Proudman-Johnson Equation [PDF]

arXiv, 2013
In [20], we derived representation formulae for spatially periodic solutions to the generalized, inviscid Proudman-Johnson equation and studied their regularity for several classes of initial data. The purpose of this paper is to extend these results to larger classes of functions including those having arbitrary local curvature near particular points ...
Alejandro Sarria, R. Saxton
arxiv   +3 more sources

Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential

Advances in Nonlinear Analysis, 2021
This paper studies the mass-critical variable coefficient nonlinear Schrödinger equation. We first get the existence of the ground state by solving a minimization problem.
Pan Jingjing, Zhang Jian
doaj   +1 more source

Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system

Advances in Nonlinear Analysis, 2021
We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d ≥ 3 and find two critical curves intersecting at one point which separate the global existence and blow up of weak solutions to the problem.
Carrillo Antonio José, Lin Ke
doaj   +1 more source

Nonlinear elliptic–parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent

Advances in Nonlinear Analysis, 2023
We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-to-Neumann operator of p-Laplace type at the critical Sobolev exponent.
Deng Yanhua, Tan Zhong, Xie Minghong
doaj   +1 more source

On a Class of Reaction-Diffusion Equations with Aggregation

Advanced Nonlinear Studies, 2021
In this paper, global-in-time existence and blow-up results are shown for a reaction-diffusion equation appearing in the theory of aggregation phenomena (including chemotaxis).
Chen Li, Desvillettes Laurent, Latos Evangelos   +2 more
doaj   +1 more source

Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum

Boundary Value Problems, 2013
In this paper, the author establishes a blow-up criterion of strong solutions to 3D compressible viscous magneto-micropolar fluids. It is shown that if the density and the velocity satisfy ∥ρ∥L∞(0,T;L∞)+∥u∥Ls(0,T;Lr)
Peixin Zhang
semanticscholar   +2 more sources

Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities

Open Mathematics, 2023
In this article, we investigate the Cauchy problem for Klein-Gordon equations with combined power-type nonlinearities. Coefficients in the nonlinearities depend on the space variable.
Kolkovska Natalia, Dimova Milena, Kutev Nikolai   +2 more
doaj   +1 more source

Blow-up criteria for the inhomogeneous nonlinear Schrödinger equation

Journal of Inequalities and Applications, 2014
In this paper, using the variational characteristic of the virial identity and a new estimate of the kinetic energy, we obtain a new sufficient condition for the existence of blow-up solutions.MSC:35Q55, 35B44.
Han Yang, Shihui Zhu
semanticscholar   +2 more sources

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

Open 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

Singularity for a nonlinear degenerate hyperbolic-parabolic coupled system arising from nematic liquid crystals

Advances in Nonlinear Analysis, 2022
This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
doaj   +1 more source