Strong solutions for the Navier-Stokes equations on bounded and unbounded domains with a moving boundary

It is proved under mild regularity assumptions on the data that the Navier-Stokes equations in bounded and unbounded noncylindrical regions admit a unique local-in-time strong solution. The result is based on maximal regularity estimates for the in spatial regions with a moving boundary obtained in...

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Bibliographic Details
Main Author: Juergen Saal
Format: Article
Language:English
Published: Texas State University 2007-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/15/s1/abstr.html