Volume 13, Issue 1
The Strong Solution of a Class of Generalized Navier-Stokes Equations

Changxing Miao

J. Part. Diff. Eq., 13 (2000), pp. 75-88.

Published online: 2000-02

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  • Abstract
We study initial boundary value (lBV) problem for a class of generalized Navier-Stokes equations in L^q([0, T); L^p(Ω)). Our main tools are regularity of analytic semigroup by Stokes operator and space-time estimates. As an application we can obtain some classical results of the Navier-Stokes equations such as global classical solution of 2-dimensional Navier-Stokes equation etc.
  • Keywords

Admissible triple generalized Navier-Stokes equations i nitial boundary value problem space-time estimates

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@Article{JPDE-13-75, author = {}, title = {The Strong Solution of a Class of Generalized Navier-Stokes Equations}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {1}, pages = {75--88}, abstract = { We study initial boundary value (lBV) problem for a class of generalized Navier-Stokes equations in L^q([0, T); L^p(Ω)). Our main tools are regularity of analytic semigroup by Stokes operator and space-time estimates. As an application we can obtain some classical results of the Navier-Stokes equations such as global classical solution of 2-dimensional Navier-Stokes equation etc.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5497.html} }
TY - JOUR T1 - The Strong Solution of a Class of Generalized Navier-Stokes Equations JO - Journal of Partial Differential Equations VL - 1 SP - 75 EP - 88 PY - 2000 DA - 2000/02 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5497.html KW - Admissible triple KW - generalized Navier-Stokes equations KW - i nitial boundary value problem KW - space-time estimates AB - We study initial boundary value (lBV) problem for a class of generalized Navier-Stokes equations in L^q([0, T); L^p(Ω)). Our main tools are regularity of analytic semigroup by Stokes operator and space-time estimates. As an application we can obtain some classical results of the Navier-Stokes equations such as global classical solution of 2-dimensional Navier-Stokes equation etc.
Changxing Miao . (2019). The Strong Solution of a Class of Generalized Navier-Stokes Equations. Journal of Partial Differential Equations. 13 (1). 75-88. doi:
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