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Global well-posedness of the 2-D MHD with variable density and electrical conductivity
【2014.7.9 4:00pm, C410】

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 2014-7-7 

  Colloquia & Seminars 

  Speaker

Prof. Gui Guilong, Northwestern University of China 

  Title

Global well-posedness of the 2-D MHD with variable density and electrical conductivity  

  Time

4:00-5:00, July 9th                                   

  Venue

Morningside 410

  Abstract

Studied in this paper is the Cauchy problem of the 2-D magnetohydrodynamics system with inhomogeneous density and electrical conductivity. It is shown that the 2-D incompressible inhomogeneous magnetohydrodynamics system with a constant viscosity is globally well-posed for a generic family of the variations of the initial data and  an inhomogeneous electrical conductivity. Moreover, it is established that the system is globally well-posed in the critical spaces if the electrical conductivity is homogeneous  

  Affiliation

 

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