On the inviscid limit for two-dimensional incompressible flow with Navier friction condition

Lopes, MC; Lopes, HJN; Planas, G

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the inviscid limit for two-dimensional incompressible flow with Navier friction condition

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Author(s):	Lopes, MC ^[1] ; Lopes, HJN ^[1] ; Planas, G ^[1] Total Authors: 3
Affiliation:	^[1] Univ Sao Paulo, ICMC, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	SIAM JOURNAL ON MATHEMATICAL ANALYSIS; v. 36, n. 4, p. 1130-1141, 2005.
Web of Science Citations:	67
Abstract
In {[}Nonlinearity, 11 (1998), pp. 1625-1636], Clopeau, Mikelic, and Robert studied the inviscid limit of the two-dimensional incompressible Navier-Stokes equations in a bounded domain subject to Navier friction-type boundary conditions. They proved that the inviscid limit satisfies the incompressible Euler equations, and their result ultimately includes flows generated by bounded initial vorticities. Our purpose in this article is to adapt and, to some extent, simplify their argument in order to include pth power integrable initial vorticities, with p > 2. (AU)

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