Results 41 to 50 of about 103 (91)

Regularity of weak solutions to the 3D stationary tropical climate model

Open Mathematics
This article studies the regularity of weak solutions to the 3D stationary tropical climate model. We prove that when (U,V,θ)\left(U,V,\theta ) belongs to the homogeneous Morrey space M˙2,p(R3){\dot{M}}^{2,p}\left({{\mathbb{R}}}^{3}) with p>3p\gt 3, then
Song Huiyang, Bie Qunyi, Zhou Yanping
doaj   +1 more source

Initial boundary value problem and exponential stability for the planar magnetohydrodynamics equations with temperature-dependent viscosity

Advances in Nonlinear Analysis
In this study, we consider the initial boundary value problem of the planar magnetohydrodynamics (MHD) system when the viscous coefficients and heat conductivity depend on the temperature, which are assumed to be proportional to θα{\theta }^{\alpha }, α ...
Shang Zhaoyang, Yang Erjia
doaj   +1 more source

Single peaked traveling wave solutions to a generalized μ-Novikov Equation

Advances in Nonlinear Analysis, 2020
In this paper, we study the existence of peaked traveling wave solution of the generalized μ-Novikov equation with nonlocal cubic and quadratic nonlinearities.
Moon Byungsoo
doaj   +1 more source

Low Mach number and non-resistive limit of magnetohydrodynamic equations with large temperature variations in general bounded domains

Advances in Nonlinear Analysis
This article verifies the low Mach number and non-resistive limit of local strong solutions to non-isentropic compressible magnetohydrodynamic (MHD) equations in general three-dimensional bounded domains when the temperature variation is large but finite.
Liang Min, Ou Yaobin
doaj   +1 more source

Stability of rarefaction wave for relaxed compressible Navier-Stokes equations with density-dependent viscosity

Advances in Nonlinear Analysis
This article shows time-asymptotic nonlinear stability of rarefaction wave to the Cauchy problem for the one-dimensional relaxed compressible Navier-Stokes equations with density-dependent viscosity.
Zhang Nangao
doaj   +1 more source

The existence of axially symmetric stationary fluids with gravity

Advances in Nonlinear Analysis
We establish a theoretical framework for the existence of axially symmetric stationary fluids with gravity within nozzles of finite height. The main focus is on the free streamline theory in axially symmetric fluids under the influence of gravity, with ...
Zhang Fan
doaj   +1 more source

Solitary wave solutions of the delayed KP–BBM equation

Advances in Nonlinear Analysis
In this paper, a type of shallow water wave model referred to as the Kadomtsev–Petviashvili–Benjamin–Bona–Mahony (KP–BBM) equation is studied. Initially, the unperturbed form of the KP–BBM equation is examined.
Xia Yonghui, Zhang Haojie, Zheng Hang
doaj   +1 more source

A regularity result for incompressible elastodynamics equations in the ALE coordinates

Advanced Nonlinear Studies
We consider incompressible inviscid elastodynamics equations with a free surface and establish regularity of solutions for these equations. Compared with previous result on this free boundary problem [X. Gu and F.
Xie Binqiang
doaj   +1 more source

Energy-variational solutions for viscoelastic fluid models

Advances in Nonlinear Analysis
In this article, we introduce the concept of energy-variational solutions for a class of nonlinear dissipative evolutionary equations, which turns out to be especially suited to treat viscoelastic fluid models.
Agosti Abramo, Lasarzik Robert, Rocca Elisabetta   +2 more
doaj   +1 more source

Global solutions of aggregation equations and other flows with random diffusion. [PDF]

Probab Theory Relat Fields, 2023
Rosenzweig M, Staffilani G.
europepmc   +1 more source