One-dimensional flow of a compressible viscous micropolar fluid: A local existence theorem. (English) Zbl 0912.35135
The subject is an initial-boundary value problem which describes one-dimensional flows of isotropic viscous compressible fluids, perfect and polytropic in the thermodynamical sense. Using the Lagrangian description, the author proves local in time existence and uniqueness theorems assuming that all the material coefficients are constant. The solution is obtained as a limit of approximate series solutions.
Reviewer: O.Titow (Berlin)
MSC:
35Q35 | PDEs in connection with fluid mechanics |
76A05 | Non-Newtonian fluids |
76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |