Results 51 to 60 of about 2,616 (128)

Remarks on the Minimizing Geodesic Problem in Inviscid Incompressible Fluid Mechanics [PDF]

, 2010
We consider $L^2$ minimizing geodesics along the group of volume preserving maps $SDiff(D)$ of a given 3-dimensional domain $D$. The corresponding curves describe the motion of an ideal incompressible fluid inside $D$ and are (formally) solutions of the ...
Brenier, Yann
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Stability on 3D Boussinesq system with mixed partial dissipation

Advances in Nonlinear Analysis
In the article, we are concerned with the three-dimensional anisotropic Boussinesq equations with the velocity dissipation in x2{x}_{2} and x3{x}_{3} directions and the thermal diffusion in only x3{x}_{3} direction.
Lin Hongxia, Liu Sen, Guo Xiaochuan, You Ruiqi   +3 more
doaj   +1 more source

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

Global Existence and Asymptotic Behavior of Solutions to a Chemotaxis-Fluid System on General Bounded Domain [PDF]

, 2014
In this paper, we investigate an initial-boundary value problem for a chemotaxis-fluid system in a general bounded regular domain $\Omega \subset \mathbb{R}^N$ ($N\in\{2,3\}$), not necessarily being convex.
Jiang, Jie, Wu, Hao, Zheng, Songmu
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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

Global Entropy Solutions to the Gas Flow in General Nozzle

, 2019
We are concerned with the global existence of entropy solutions for the compressible Euler equations describing the gas flow in a nozzle with general cross-sectional area, for both isentropic and isothermal fluids. New viscosities are delicately designed
Cao, Wentao, Huang, Feimin, Yuan, Difan
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R-matrix for a geodesic flow associated with a new integrable peakon equation

, 2016
We use the r-matrix formulation to show the integrability of geodesic flow on an $N$-dimensional space with coordinates $q_k$, with $k=1,...,N$, equipped with the co-metric $g^{ij}=e^{-|q_i-q_j|}\big(2-e^{-|q_i-q_j|}\big)$.
Holm, Darryl D., Qiao, Zhijun
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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

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.
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