Existence and Uniqueness of the Cauchy Problem for a Generalized Navier-Stokes Equations

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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_\u03c3. 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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Existence and Uniqueness of the Cauchy Problem for a Generalized Navier-Stokes Equations. (2003). Journal of Partial Differential Equations, 16(3), 266-274. https://www.global-sci.com/index.php/jpde/article/view/14888