Results 51 to 60 of about 2,584 (111)

The Oberbeck--Boussinesq Approximation as a Constitutive Limit

, 2015
We derive the usual Oberbeck--Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end the starting system is written, using the Gibbs free energy, in the variables $\
Kagei, Yoshiyuki, Ruzicka, Michael
core   +1 more source

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

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

Heat Convection of Compressible Viscous Fluids. I. [PDF]

, 2012
The stationary problem for the heat convection of compressible fluid is considered around the equilibrium solution with the external forces in the horizontal strip domain z_0 < z < z_0 + 1 and it is proved that the solution exists uniformly with
Nishida, Takaaki, Padula, Mariarosaria, Teramoto, Yoshiaki   +2 more
core  

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

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
core  

Non-uniform continuous dependence on initial data of solutions to the Euler-Poincar\'{e} system

, 2018
In this paper, we investigate the continuous dependence on initial data of solutions to the Euler-Poincar\'{e} system. By constructing a sequence approximate solutions and calculating the error terms, we show that the data-to-solution map is not ...
Dai, Li, Li, Jinlu, Zhu, Weipeng
core   +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

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
core  

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
core