Global solutions to vortex density equations arising from sup-conductivity

Nader Masmoudi; Ping Zhang

Displaying similar documents to “Global solutions to vortex density equations arising from sup-conductivity”

Weak solutions to a nonlinear variational wave equation and some related problems

Ping Zhang (2006)

Applications of Mathematics

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In this paper we present some results on the global existence of weak solutions to a nonlinear variational wave equation and some related problems. We first introduce the main tools, the $L^{p}$ Young measure theory and related compactness results, in the first section. Then we use the $L^{p}$ Young measure theory to prove the global existence of dissipative weak solutions to the asymptotic equation of the nonlinear wave equation, and comment on its relation to Camassa-Holm equations in the second...

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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A regularity criterion for the nematic liquid crystal flows.

Zhou, Yong, Fan, Jishan (2010)

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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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Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces.

Cekic, Bilal, Mashiyev, Rabil A. (2010)

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Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids

Helmut Abels, Matthias Röger (2009)

Annales de l'I.H.P. Analyse non linéaire

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-convergence of functionals on divergence-free fields

Nadia Ansini, Adriana Garroni (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the stability of a sequence of integral functionals on divergence-free matrix valued fields following the direct methods of -convergence. We prove that the -limit is an integral functional on divergence-free matrix valued fields. Moreover, we show that the -limit is also stable under volume constraint and various type of boundary conditions.