Displaying similar documents to “The global solvability to the equations of motion of viscous gas with an artificial viscosity”

On evolution inequalities of a modified Navier-Stokes type. III

Manfred Müller, Joachim Naumann (1979)

Aplikace matematiky

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This is the last from a series of three papers dealing with variational equations of Navier-Stokes type. It is shown that the theoretical results from the preceding parts (existence and regularity of solutions) can be applied to the problem of motion of a fluid through a tube.

Local Smoothness of Weak Solutions to the Magnetohydrodynamics Equations via Blowup Methods

Basil Nicolaenko, Alex Mahalov, Timofey Shilkin (2006-2007)

Séminaire Équations aux dérivées partielles

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We demonstrate that there exist no self-similar solutions of the incompressible magnetohydrodynamics (MHD) equations in the space L 3 ( R 3 ) . This is a consequence of proving the local smoothness of weak solutions via blowup methods for weak solutions which are locally L 3 . We present the extension of the Escauriaza-Seregin-Sverak method to MHD systems.