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Volume 48, Issue 3
Global Strong Solution to the 3D Incompressible Navier-Stokes Equations with General Initial Data

Tingting Zheng & Peixin Zhang

DOI: 10.4208/jms.v48n3.15.03

J. Math. Study, 48 (2015), pp. 250-255.

Published online: 2015-09

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  • Abstract

We study the existence of global strong solution to an initial-boundary value (or initial value) problem for the 3D nonhomogeneous incompressible Navier-Stokes equations. In this study, the initial density is suitably small (or the viscosity coefficient suitably large) and the initial vacuum is allowed. Results show that the unique solution of the Navier-Stokes equations can be found.

  • Keywords

Incompressible Navier-Stokes equations, strong solutions, vacuum.

  • AMS Subject Headings

35B65, 35Q35, 76N10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

nljj2011@126.com (Tingting Zheng)

zhpx@hqu.edu.cn (Peixin Zhang)

  • BibTex
  • RIS
  • TXT
@Article{JMS-48-250, author = {Zheng , Tingting and Zhang , Peixin}, title = {Global Strong Solution to the 3D Incompressible Navier-Stokes Equations with General Initial Data}, journal = {Journal of Mathematical Study}, year = {2015}, volume = {48}, number = {3}, pages = {250--255}, abstract = {

We study the existence of global strong solution to an initial-boundary value (or initial value) problem for the 3D nonhomogeneous incompressible Navier-Stokes equations. In this study, the initial density is suitably small (or the viscosity coefficient suitably large) and the initial vacuum is allowed. Results show that the unique solution of the Navier-Stokes equations can be found.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v48n3.15.03}, url = {http://global-sci.org/intro/article_detail/jms/9924.html} }
TY - JOUR T1 - Global Strong Solution to the 3D Incompressible Navier-Stokes Equations with General Initial Data AU - Zheng , Tingting AU - Zhang , Peixin JO - Journal of Mathematical Study VL - 3 SP - 250 EP - 255 PY - 2015 DA - 2015/09 SN - 48 DO - http://doi.org/10.4208/jms.v48n3.15.03 UR - https://global-sci.org/intro/article_detail/jms/9924.html KW - Incompressible Navier-Stokes equations, strong solutions, vacuum. AB -

We study the existence of global strong solution to an initial-boundary value (or initial value) problem for the 3D nonhomogeneous incompressible Navier-Stokes equations. In this study, the initial density is suitably small (or the viscosity coefficient suitably large) and the initial vacuum is allowed. Results show that the unique solution of the Navier-Stokes equations can be found.

Zheng , Tingting and Zhang , Peixin. (2015). Global Strong Solution to the 3D Incompressible Navier-Stokes Equations with General Initial Data. Journal of Mathematical Study. 48 (3). 250-255. doi:10.4208/jms.v48n3.15.03
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