A steady Navier-Stokes model for compressible fluid with partially strong solutions

0345049 - MÚ 2011 RIV FR eng J - Journal Article
Muzereau, O. - Neustupa, Jiří - Penel, P.
A steady Navier-Stokes model for compressible fluid with partially strong solutions.
Comptes Rendus Mathematique. Roč. 348, 11-12 (2010), s. 619-624. ISSN 1631-073X. E-ISSN 1778-3569
R&D Projects: GA ČR GA201/08/0012
Institutional research plan: CEZ:AV0Z10190503
Keywords : Navier-Stokes equations * Compressible fluids * Weak solution
Subject RIV: BA - General Mathematics
Impact factor: 0.399, year: 2010
http://www.sciencedirect.com/science/article/pii/S1631073X10001160

In this note, we prove the existence of a partially strong solution to the steady Navier–Stokes equations for viscous barotropic compressible fluids, in a bounded simply connected domain of R3 with the prescribed generalized impermeability conditions , k=0,1,2 on the boundary. We call the solution “partially strong” because only the divergence-free part of the velocity field and the associated effective pressure have regularity typical for strong solution, while the density and the gradient part of the velocity have regularity typical for weak solution.
Permanent Link: http://hdl.handle.net/11104/0186414