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A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions
- 1.0349654 - MÚ 2011 RIV GB eng J - Článek v odborném periodiku
Muzereau, O. - Neustupa, Jiří - Penel, P.
A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions.
Nonlinearity. Roč. 23, č. 12 (2010), s. 3071-3090. ISSN 0951-7715. E-ISSN 1361-6544
Grant CEP: GA ČR GA201/08/0012
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: Navier-Stokes equations * compressible fluids * weak solution
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.468, rok: 2010
http://iopscience.iop.org/0951-7715/23/12/005/
We prove the existence of a partially strong solution to the steady Navier-Stokes equations for barotropic compressible fluid in a bounded simply connected domain with the prescribed generalized impermeability conditions u.n=0, curl u.n=0 and curl curl u.n=0 on the boundary. We assume that the state law for the pressure has the form P(rho)=rho^{gamma} for gamma>3. We call the solution "partially strong" because only the divergence - free part of velocity and the effective pressure have regularity typical for strong solutions, while the gradient part of velocity and the density have regularity typical for weak solutions.
Trvalý link: http://hdl.handle.net/11104/0189833
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