Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations
نویسندگان
چکیده
منابع مشابه
Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations
Magnetohydrodynamics MHD concerns the motion of a conducting fluid in an electromagnetic field with a very wide range of applications. The dynamic motion of the fluids and the magnetic field strongly interact each other, and thus, both the hydrodynamic and electrodynamic effects have to be considered. The governing equations of the plane magnetohydrodynamic compressible flows have the following...
متن کاملExistence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier-Stokes Equations
We consider the Navier-Stokes equations for compressible viscous fluids in one dimension. It is a well known fact that if the initial data are smooth and the initial density is bounded by below by a positive constant, then a strong solution exists for a small time. In this paper, we show that under the same hypothesis, the density remains bounded by below by a positive constant uniformly in tim...
متن کاملExistence and uniqueness of weak solutions for a class of nonlinear divergence type diffusion equations
In this paper, we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations. By a priori estimates, difference and variation techniques, we establish the existence and uniqueness of weak solutions of this problem.
متن کاملExistence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay
...
متن کاملStrong solutions to the incompressible magnetohydrodynamic equations
In this paper, we are concerned with strong solutions to the Cauchy problem for the incompressible Magnetohydrodynamic equations. By the Galerkin method, energy method and the domain expansion technique, we prove the local existence of unique strong solutions for general initial data, develop a blow-up criterion for local strong solutions and prove the global existence of strong solutions under...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2008
ISSN: 1687-2762,1687-2770
DOI: 10.1155/2008/735846