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Volume 31, Issue 4
Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations

Hui Zhang

DOI: 10.4208/jpde.v31.n4.5

J. Part. Diff. Eq., 31 (2018), pp. 343-352.

Published online: 2019-01

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  • Abstract

We prove the global existence of a unique mild solutions to the incompressible MHD equations when the initial data are less than the viscosity coefficients in a new critical space introduced by Lei and Lin [1]. Moreover, we prove that solutions decay to zero as time goes to infinity.

  • Keywords

MHD equations global well-posedness Lei-Lin space.

  • AMS Subject Headings

35Q35, 35B40, 35B65, 76B03

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zhangaqtc@126.com (Hui Zhang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-31-343, author = {Zhang , Hui}, title = {Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {31}, number = {4}, pages = {343--352}, abstract = {

We prove the global existence of a unique mild solutions to the incompressible MHD equations when the initial data are less than the viscosity coefficients in a new critical space introduced by Lei and Lin [1]. Moreover, we prove that solutions decay to zero as time goes to infinity.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n4.5}, url = {http://global-sci.org/intro/article_detail/jpde/12948.html} }
TY - JOUR T1 - Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations AU - Zhang , Hui JO - Journal of Partial Differential Equations VL - 4 SP - 343 EP - 352 PY - 2019 DA - 2019/01 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n4.5 UR - https://global-sci.org/intro/article_detail/jpde/12948.html KW - MHD equations KW - global well-posedness KW - Lei-Lin space. AB -

We prove the global existence of a unique mild solutions to the incompressible MHD equations when the initial data are less than the viscosity coefficients in a new critical space introduced by Lei and Lin [1]. Moreover, we prove that solutions decay to zero as time goes to infinity.

Zhang , Hui. (2019). Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations. Journal of Partial Differential Equations. 31 (4). 343-352. doi:10.4208/jpde.v31.n4.5
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