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 | |
| Added by: | [JS] |
| Total mark: | 0 |
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