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

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

Year:    2003

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JPDE-5424

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 3 : pp. 266–274

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Cauchy problem