Global existence and uniqueness of strong solutions for the magnetohydrodynamic equations.

Zhang, Jianwen

Displaying similar documents to “Global existence and uniqueness of strong solutions for the magnetohydrodynamic equations.”

On weak-strong uniqueness property for full compressible magnetohydrodynamics flows

Weiping Yan (2013)

Open Mathematics

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This paper is devoted to the study of the weak-strong uniqueness property for full compressible magnetohydrodynamics flows. The governing equations for magnetohydrodynamic flows are expressed by the full Navier-Stokes system for compressible fluids enhanced by forces due to the presence of the magnetic field as well as the gravity and an additional equation which describes the evolution of the magnetic field. Using the relative entropy inequality, we prove that a weak solution coincides...

Some properties of solutions for a class of metaparabolic equations.

Liu, Changchun, Guan, Yujing, Wang, Zhao (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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On the unique continuation property for a nonlinear dispersive system.

Kozakevicius, Alice, Vera, Octavio (2005)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Conditions of Prodi-Serrin's type for local regularity of suitable weak solutions to the Navier-Stokes equations

Zdeněk Skalák (2002)

Commentationes Mathematicae Universitatis Carolinae

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In the context of suitable weak solutions to the Navier-Stokes equations we present local conditions of Prodi-Serrin’s type on velocity $𝐯$ and pressure $p$ under which $(𝐱_{0}, t_{0}) \in Ω \times (0, T)$ is a regular point of $𝐯$ . The conditions are imposed exclusively on the outside of a sufficiently narrow space-time paraboloid with the vertex $(𝐱_{0}, t_{0})$ and the axis parallel with the $t$ -axis.