Existence of global solution for a differential system with initial data in .

Bates, Peter; Chen, Fengxin; Wang, Ping

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Displaying similar documents to “Existence of global solution for a differential system with initial data in $L^{p}$ .”

On the search for singularities in incompressible flows

Diego Córdoba (2006)

Applications of Mathematics

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In these notes we give some examples of the interaction of mathematics with experiments and numerical simulations on the search for singularities.

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.

Remarks on the Navier-Stokes equations

Louis Nirenberg (1981)

Journées équations aux dérivées partielles

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Spatial decay estimates for a class of nonlinear damped hyperbolic equations.

Tahamtani, F., Mosaleheh, K., Seddighi, K. (2001)

International Journal of Mathematics and Mathematical Sciences

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Uniqueness of weak solution for nonlinear elliptic equations in divergence form.

Zhang, Xu (2000)

International Journal of Mathematics and Mathematical Sciences

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

Zhang, Jianwen (2008)

Boundary Value Problems [electronic only]

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Pressure conditions for the local regularity of solutions of the Navier-Stokes equations.

O'Leary, Mike (1998)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Displaying similar documents to “Existence of global solution for a differential system with initial data in L p .”

On the search for singularities in incompressible flows

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

Remarks on the Navier-Stokes equations

Spatial decay estimates for a class of nonlinear damped hyperbolic equations.

Uniqueness of weak solution for nonlinear elliptic equations in divergence form.

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

Pressure conditions for the local regularity of solutions of the Navier-Stokes equations.

Displaying similar documents to “Existence of global solution for a differential system with initial data in $L^{p}$ .”