## Abstract In the paper the global motion of a viscous compressible heat conducting capillary fluid in a domain bounded by a free surface is considered. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a globalβinβt
On the Capillary Problem for Compressible Fluids
β Scribed by Robert Finn; Garving K. Luli
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 185 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1422-6928
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π SIMILAR VOLUMES
We consider the equations of motion to slightly compressible fluids and we prove that solutions converge, in the strong norm, to the solution of the equations of motion of incompressible fluids, as the Mach number goes to zero. From a physical point of view this means the following. Assume that we a
The generalized Riemann problem (GRP) method was proposed for compressible fluid flows based on the Lagrangian formulation [M. Ben-Artzi, J. Falcovitz, A second-order Godunov-type scheme for compressible fluid dynamics, J. Comput. Phys., 55(1) (1984) 1-32], and a direct Eulerian version was develope