A weak solution to the Navier–Stokes system with Navier’s boundary condition in a time-varying domain

0458908 - MÚ 2017 RIV CH eng C - Conference Paper (international conference)
Neustupa, Jiří - Penel, P.
A weak solution to the Navier–Stokes system with Navier’s boundary condition in a time-varying domain.
Recent Developments of Mathematical Fluid Mechanics. Basel: Springer, 2016 - (Amann, H.; Giga, Y.; Kozono, H.; Okamoto, H.; Yamazaki, M.), s. 375-400. Advances in Mathematical Fluid Mechanics. ISBN 978-3-0348-0938-2. ISSN 2297-0320.
[International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday. Nara (JP), 05.03.2013-09.03.2013]
R&D Projects: GA ČR GA13-00522S
Institutional support: RVO:67985840
Keywords : Navier–Stokes equations * slip boundary condition * Weak solutions
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007/978-3-0348-0939-9_20

We assume that Omega_t (for t in [0,T]) is a time-varying domain in R3. Particularly, Omega_t can be a region around colliding bodies. Under certain conditions on Omega_t and the way it varies, we prove the weak solvability of the Navier-Stokes system with Navier's slip boundary condition in Q_(0,T):={(x,t); 0<t<T, x in Omega_t}.
Permanent Link: http://hdl.handle.net/11104/0259121