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Annali di Matematica Pura ed Applicata

, Volume 191, Issue 2, pp 293–309 | Cite as

Existence and regularizing rate estimates of solutions to a generalized magneto-hydrodynamic system in pseudomeasure spaces

  • Qiao Liu
  • Jihong Zhao
  • Shangbin Cui
Article

Abstract

We study existence and asymptotic stability of solutions to a n-dimensional generalized incompressible magneto-hydrodynamic system with initial value \({(u_{0},b_{0}) \in (PM^{a})^{2n}}\) , where PM a is the pseudomeasure space, and \({a \in \mathbb{R}}\) is a given parameter. Some regularizing rate estimates for the β-th spatial derivatives of solution are also established, which particularly imply that the solution is analytic in the spatial variable.

Keywords

Generalized magneto-hydrodynamic system Pseudomeasure space Regularizing rate Spatial analyticity 

Mathematics Subject Classification (2000)

35B65 35Q35 76W05 

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag 2011

Authors and Affiliations

  1. 1.Department of MathematicsSun Yat-sen UniversityGuangzhouPeople’s Republic of China

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