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A partially strong solution to the steady Navier–Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions
Type of publication: Article
Citation: 0951-7715-23-12-005
Journal: Nonlinearity
Volume: 23
Number: 12
Year: 2010
Pages: 3071
URL: http://stacks.iop.org/0951-771...
Abstract: 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 2 u · n = 0 on the boundary. We assume that the state law for the pressure has the form ##IMG## [http://ej.iop.org/images/0951-7715/23/12/005/non335132in001.gif] {{\cal P}(\rho)=\rho^{\gamma}} for γ > 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.
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Authors Muzereau, Olivier
Neustupa, Jiří
Penel, Patrick
Added by: [JS]
Total mark: 0
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