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| Title: | An Initial-Boundary Value Problem for the Viscous Compressible Flow |
| Authors: | Hebeker, Friedrich-Karl
Hsiao, George C |
| Keywords: | boundary integral equations
fundamental solution
coercivity
Korn's inequality
anistropic Sobolev spaces
variational formulation
weak solution |
| Issue Date: | 7-Jul-2006 |
| Series/Report no.: | Technical Report; |
| Abstract: | A constructive approach is presented to treat an initial boundary value problem for isothermal Navier Stokes equations. It is based on a characteristics (Lagrangean) approximation locally in time and a boundary intergral equation method via nonstationary potentials. As a basic problem, the later leads to a Volterra integral equation of the first kind which is proved to be uniquely solvable and even coercive in some anistropic Sobolev spaces. The solution depends continuously upon the data and may be constructed by a quasioptimal Galerkin procedure. |
| URI: | http://dspace.udel.edu:8080/dspace/handle/19716/2437 |
| Appears in Collections: | Math Technical Report Series
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