Global existence of solutions for incompressible magnetohydrodynamic equations
نویسندگان
چکیده
منابع مشابه
Strong 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...
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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...
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Abstract. We establish the global existence and uniqueness of strong solutions to the initial boundary value problem for the incompressible MHD equations in bounded smooth domains of R under some suitable smallness conditions. The initial density is allowed to have vacuum, in particular, it can vanish in a set of positive Lebessgue measure. More precisely, under the assumption that the producti...
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The behavior of elastic waves in a three-dimensional isotropic incompressible material is studied. Unlike compressible elastodynamics, where there are nonlinear interactions of shear and pressure waves, with incompressible elastodynamics the only waves present are shear waves. In an isotropic system, shear waves are linearly degenerate, and therefore global solutions to the perturbative incompr...
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ژورنال
عنوان ژورنال: Applicationes Mathematicae
سال: 2004
ISSN: 1233-7234,1730-6280
DOI: 10.4064/am31-2-5