The Strong Solution of a Class of Generalized Navier-Stokes Equations

The Strong Solution of a Class of Generalized Navier-Stokes Equations

Year:    2000

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JPDE-5497

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 1 : pp. 75–88

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Admissible triple