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.
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 . This is a consequence of proving the local smoothness of weak solutions via blowup methods for weak solutions which are locally . We present the extension of the Escauriaza-Seregin-Sverak method to MHD systems.
Louis Nirenberg (1981)
Journées équations aux dérivées partielles
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Tahamtani, F., Mosaleheh, K., Seddighi, K. (2001)
International Journal of Mathematics and Mathematical Sciences
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Zhang, Xu (2000)
International Journal of Mathematics and Mathematical Sciences
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Zhang, Jianwen (2008)
Boundary Value Problems [electronic only]
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O'Leary, Mike (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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 Young measure theory and related compactness results, in the first section. Then we use the 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...