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Volume 16, Issue 3
Existence and Uniqueness of the Cauchy Problem for a Generalized Navier-Stokes Equations

Xiaofeng Liu

J. Part. Diff. Eq., 16 (2003), pp. 266-274.

Published online: 2003-08

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  • Abstract
We consider the Cauchy problem for a generalized Navier-Stokes equations with hyperdissipation, with the initial data in L^p_σ. We follow the theme of [1] but with more complicated analysis on the symbol and obtain the existence and uniqueness results.
  • Keywords

Cauchy problem generalized Navier-Stokes equations hyperdissipation mild solution

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@Article{JPDE-16-266, author = {Xiaofeng Liu }, title = {Existence and Uniqueness of the Cauchy Problem for a Generalized Navier-Stokes Equations}, journal = {Journal of Partial Differential Equations}, year = {2003}, volume = {16}, number = {3}, pages = {266--274}, abstract = { We consider the Cauchy problem for a generalized Navier-Stokes equations with hyperdissipation, with the initial data in L^p_σ. We follow the theme of [1] but with more complicated analysis on the symbol and obtain the existence and uniqueness results.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5424.html} }
TY - JOUR T1 - Existence and Uniqueness of the Cauchy Problem for a Generalized Navier-Stokes Equations AU - Xiaofeng Liu JO - Journal of Partial Differential Equations VL - 3 SP - 266 EP - 274 PY - 2003 DA - 2003/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5424.html KW - Cauchy problem KW - generalized Navier-Stokes equations KW - hyperdissipation KW - mild solution AB - We consider the Cauchy problem for a generalized Navier-Stokes equations with hyperdissipation, with the initial data in L^p_σ. We follow the theme of [1] but with more complicated analysis on the symbol and obtain the existence and uniqueness results.
Xiaofeng Liu . (2003). Existence and Uniqueness of the Cauchy Problem for a Generalized Navier-Stokes Equations. Journal of Partial Differential Equations. 16 (3). 266-274. doi:
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