Unilateral problem for the Navier–Stokes operators with variable viscosity in noncylindrical domain

✍ Scribed by G.M. de Araújo; S.B. de Menezes

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 191 KB
• Volume: 64
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2005.04.052

✦ Synopsis

We study a unilateral problem for the operator L perturbed of Navier-Stokes operator in a noncylindrical case, where

Here we considered a cylindrical domain and using an appropriate penalization, we obtained a variational inequality for the Navier-Stokes system. Here we transform the noncylindrical domain into a cylindrical domain using a diffeomorphism as in Vieira-Rabello Unilateral problem for the Navier-Stokes operators in noncylindrical domains, Comput.