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Volume 29, Issue 2
A Regularity Criterion for the 3D Incompressible Density-dependent Navier-Stokes-Allen-Cahn Equations

Jianlin Zhang

DOI: 10.4208/jpde.v29.n2.3

J. Part. Diff. Eq., 29 (2016), pp. 116-123.

Published online: 2016-07

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  • Abstract
In this paper, we study the initial boundary problem for 3D incompressible density-dependent Navier-Stokes-Allen-Cahn equations, and give a regularity criterion for local strong solutions. Our result refines the blow-up criterion in [1].
  • Keywords

Navier-Stokes equations Allen-Cahn equation regularity criterion BMO space

  • AMS Subject Headings

35Q30, 35Q35, 35B65, 76D05, 76F65

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

mathzhangjianlin@hotmail.com (Jianlin Zhang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-29-116, author = {Zhang , Jianlin}, title = {A Regularity Criterion for the 3D Incompressible Density-dependent Navier-Stokes-Allen-Cahn Equations}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {2}, pages = {116--123}, abstract = { In this paper, we study the initial boundary problem for 3D incompressible density-dependent Navier-Stokes-Allen-Cahn equations, and give a regularity criterion for local strong solutions. Our result refines the blow-up criterion in [1].}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n2.3}, url = {http://global-sci.org/intro/article_detail/jpde/5083.html} }
TY - JOUR T1 - A Regularity Criterion for the 3D Incompressible Density-dependent Navier-Stokes-Allen-Cahn Equations AU - Zhang , Jianlin JO - Journal of Partial Differential Equations VL - 2 SP - 116 EP - 123 PY - 2016 DA - 2016/07 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n2.3 UR - https://global-sci.org/intro/article_detail/jpde/5083.html KW - Navier-Stokes equations KW - Allen-Cahn equation KW - regularity criterion KW - BMO space AB - In this paper, we study the initial boundary problem for 3D incompressible density-dependent Navier-Stokes-Allen-Cahn equations, and give a regularity criterion for local strong solutions. Our result refines the blow-up criterion in [1].
Zhang , Jianlin. (2016). A Regularity Criterion for the 3D Incompressible Density-dependent Navier-Stokes-Allen-Cahn Equations. Journal of Partial Differential Equations. 29 (2). 116-123. doi:10.4208/jpde.v29.n2.3
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