Results 51 to 60 of about 2,783 (131)
On the differential system govering flows in magnetic field with data in Lp
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 299-305, 1998., 1996 In this paper we study the system governing flows in the magnetic field within the earth. The system is similar to the magnetohydrodynamic (MHD) equations. For initial data in space Lp, we obtained the local in time existence and uniqueness ofweak solutions of the system subject to appropriate initial and boundary conditions.
Fengxin Chen, Ping Wang, Chaoshun Qu
wiley +1 more source
Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation
, 2007 We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($\alpha< 1/2$) dissipation $(-\Delta)^\alpha$ : If a Leray-Hopf weak solution is H\"{o}lder continuous $\theta\in C^\delta({\mathbb R}^2)$ with ...
Caffarelli +23 more
core +1 more source
On the ℛ-boundedness for the two phase problem: compressible-incompressible model problem
, 2014 The situation of this paper is that the Stokes equation for the compressible viscous fluid flow in the upper half-space is coupled via inhomogeneous interface conditions with the Stokes equations for the incompressible one in the lower half-space, which ...
Takayuki Kubo, Y. Shibata, Kohei Soga
semanticscholar +1 more source
Stability on 3D Boussinesq system with mixed partial dissipation
Advances in Nonlinear AnalysisIn 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 +3 more
doaj +1 more source
Canonically Conjugate Variables for the μCH Equation [PDF]
, 2012 2010 Mathematics Subject Classification: 35Q35, 37K10.We consider the μCH equation which arises as an asymptotic rotator equation in a liquid crystal with a preferred direction if one takes into account the reciprocal action of dipoles on themselves ...
Christov, Ognyan
core
, 2016 Our aim in this piece of work is to demonstrate the power of Laplace Adomian decomposition method in approximating the solution of nonlinear differential equations governing stagnation point flow over a stretching sheet with Newtonian heating.
M. Mageswari, M. Nirmala
semanticscholar +1 more source
Regularity of weak solutions to the 3D stationary tropical climate model
Open MathematicsThis 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
Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid
Alexandria Engineering Journal, 2022 The flow under an Eyring-Powell description has attracted interest to model different scenarios related with non-Newtonian fluids. The goal of the present study is to provide analysis of solutions to a one-dimensional Eyring-Powell fluid in ...
José Luis Díaz Palencia +2 more
doaj +1 more source
Advances in Nonlinear AnalysisIn 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
Alexandria Engineering Journal, 2023 In this article, we discuss various solitary wave solutions that are extremely important in applied mathematics. In order to construct accurate solution to nonlinear fractional PDEs, we have employed the Khater technique to nonlinear equation for 3 ...
Asghar Ali, Jamshad Ahmad, Sara Javed
doaj +1 more source