Proceedings of the American Mathematical Society

Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations

Author(s): Luigi C. Berselli; Giovanni P. Galdi
Journal: Proc. Amer. Math. Soc. 130 (2002), 3585-3595.
MSC (2000): Primary 35B65; Secondary 35K55, 76D05
Posted: July 2, 2002
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Abstract: In this paper we consider the Cauchy problem for the

-dimensional Navier-Stokes equations and we prove a regularity criterion for weak solutions involving the summability of the pressure. Related results for the initial-boundary value problem are also presented.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35B65, 35K55, 76D05

Luigi C. Berselli
Affiliation: Dipartimento di Matematica Applicata ``U.Dini'', Università di Pisa, Via Bonanno 25/b, 56126 Pisa, Italy
Email: berselli@dma.unipi.it

Giovanni P. Galdi
Affiliation: Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, Pennsylvannia 15260
Email: galdi@engrng.pitt.edu

DOI: 10.1090/S0002-9939-02-06697-2
PII: S 0002-9939(02)06697-2
Received by editor(s): June 18, 2001
Posted: July 2, 2002
Additional Notes: The first author was partially supported by the the MURST project: ``Theory and Applications of Linear and Nonlinear Hyperbolic Equations".
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2002, American Mathematical Society

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