Results 91 to 100 of about 226 (100)

GLOBAL REGULARITY TO THE 2D INHOMOGENEOUS LIQUID CRYSTAL FLOWS WITH LARGE INITIAL DATA AND VACUUM

Rocky Mountain Journal of Mathematics, 2022
In this paper, we study the 2D incompressible nematic liquid crystal equations in smooth bounded domain, where the velocity u and macroscopic molecular orientation d admit the Dirich-let and Neumann boundary condition respectively.
Yang Liu, Renying Guo, Nan Zhou
semanticscholar   +1 more source

Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains

East Asian Journal on Applied Mathematics, 2018
The artificial boundary method is used to reformulate the time fractional Schrödinger equation on the real line as a bounded problem with exact artificial boundary conditions.
Zhi‐zhong Sun
semanticscholar   +1 more source

Fractional powers of the Stokes operator with boundary conditions involving the pressure

Mathematische Nachrichten, 2019
Since the pioneer work of Leray [21] and Hopf [15], Stokes and Navier-Stokes problems have been often studied with Dirichlet boundary condition. Nevertheless, in the opinion of engineers and physicists such a condition is not always realistic in ...
H. A. Baba
semanticscholar   +1 more source

Remarks on Liouville Type Result for the 3D Hall-MHD System

, 2015
In this paper, we consider the 3D Hall-MHD system, and provide an improved Liouville type result for its stationary version.
Zhang, Zujin, Yang, Xian, Qiu, Shulin
semanticscholar   +1 more source

Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations

Journal of Partial Differential Equations, 2018
We prove the global existence of a unique mild solutions to the incompressible MHD equations when the initial data are less than the viscosity coefficients in a new critical space introduced by Lei and Lin [1].
Zhang Hui
semanticscholar   +1 more source

On the symmetry of minimizers

, 2007
For a large class of variational problems we prove that minimizers are symmetric whenever they are C. AMS subject classifications. 35A15, 35B05, 35B65, 35H30, 35J20, 35J45, 35J50, 35J60.
Mihai Marics
semanticscholar   +1 more source

Spherically Symmetric Solutions for a Coupled Compressible Navier-Stokes/Allen-Cahn System

Journal of Partial Differential Equations, 2018
In this paper, we consider the initial boundary value problem of a coupled compressible Navier-Stokes/Allen-Cahn system which is described the motion of a mixture of two viscous compressible fluids in 3D.
Song Yuanyuan
semanticscholar   +1 more source

W2,p-Regularity of Lp Viscosity Solutions to Fully Nonlinear Elliptic Equations with Low-Order Terms

Journal of Advances in Applied & Computational Mathematics
In this paper, we consider the following fully nonlinear elliptic equation                                                                      F(D2u, Du, x) = f(x), where the operator F satisfies structure condition and the gradient of solution has ...
Shuhan Hao, Yao Zhang, Zhenqiu Zhang
semanticscholar   +1 more source

Well-posedness for the Cahn-Hilliard Equation with Neumann Boundary Condition on the Half Space

, 2017
In this paper, we investigate the Cahn-Hilliard equation defined on the half space and subject to the Neumann boundary and initial condition. For given initial data in some sobolev space, we prove the existence and analytic smoothing effect of the ...
Ling-Jun Wang
semanticscholar   +1 more source

Global Strong Solution to the 3D Incompressible Navierv-Stokes Equations with General Initial Data

, 2015
We study the existence of global strong solution to an initial–boundary value (or initial value) problem for the 3D nonhomogeneous incompressible Navier-Stokes equations.
T. Zhang
semanticscholar   +1 more source