The dimension of a set of singularities of weak solutions to the Navier-Stokes equations

Neustupa, Jiří

Displaying similar documents to “The dimension of a set of singularities of weak solutions to the Navier-Stokes equations”

The global solvability to the equations of motion of viscous gas with an artificial viscosity

Neustupa, J.

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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.

Local and global existence and behaviour for $t \to \infty$ of solutions of the Navier-Stokes equations

Wolf von Wahl (1985)

Commentationes Mathematicae Universitatis Carolinae

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Displaying similar documents to “The dimension of a set of singularities of weak solutions to the Navier-Stokes equations”

The global solvability to the equations of motion of viscous gas with an artificial viscosity

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

Local and global existence and behaviour for t → ∞ of solutions of the Navier-Stokes equations

Local and global existence and behaviour for $t \to \infty$ of solutions of the Navier-Stokes equations