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Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2006

A losing estimate for the ideal MHD equations with application to blow-up criterion

Qionglei Chen
  • Fonction : Auteur
Changxing Miao
  • Fonction : Auteur

Résumé

In this paper we study the blow-up criterion of smooth solution to the ideal MHD equations in R-n. By means of the Fourier frequency localization and Bony paraproduct decomposition, we show a losing estimate for the ideal MHD equations and apply it to establish an improved blow-up criterion of smooth solutions. As a special case, we recover a previous result of Planchon for the incompressible Euler equations.
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Dates et versions

hal-00693787 , version 1 (02-05-2012)

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Marco Cannone, Qionglei Chen, Changxing Miao. A losing estimate for the ideal MHD equations with application to blow-up criterion. SIAM Journal on Mathematical Analysis, 2006, 38 (6), pp.1847--1859. ⟨10.1137/060652002⟩. ⟨hal-00693787⟩
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