An existence theorem for compressible viscous and heat conducting fluids
- 1 January 1984
- journal article
- research article
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 6 (1) , 234-247
- https://doi.org/10.1002/mma.1670060116
Abstract
We consider an initial‐boundary value problem of a flow of a viscous and heat‐conducting gas in a bounded domain D ⊂ R3. We assume that the boundary S of D consists of two disjoint surfaces S1 and S2 of class C2, and that the gas enters D through the surface S1 and leaves D through the surface S2.Our aim is to prove the existence (locally in time) of a solution of the problem in anisotropic Sobolev spaces.Keywords
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