✦ LIBER ✦

Convergence to steady states of solutions of the Cahn–Hilliard and Caginalp equations with dynamic boundary conditions

✍ Scribed by Ralph Chill; Eva Fašangová; Jan Prüss

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 214 KB
Volume: 279
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200410431

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✦ Synopsis

Abstract

We consider a solution of the Cahn–Hilliard equation or an associated Caginalp problem with dynamic boundary condition in the case of a general potential and prove that under some conditions on the potential it converges, as t → ∞, to a stationary solution. The main tool will be the Łojasiewicz–Simon inequality for the underlying energy functional. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Steady solutions of the Navier–Stokes eq

Steady solutions of the Navier–Stokes equations with threshold slip boundary conditions

✍ C. Le Roux; A. Tani 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 288 KB

## Abstract We establish the wellposedness of the time‐independent Navier–Stokes equations with threshold slip boundary conditions in bounded domains. The boundary condition is a generalization of Navier's slip condition and a restricted Coulomb‐type friction condition: for wall slip to occur the m