On the weak compactness of solutions to the equations of compressible flow
- 1 January 1989
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 34 (1) , 35-52
- https://doi.org/10.1080/00036818908839882
Abstract
The subject-matter of this paper is the study of weak limits (in appropriate function spaces) of solutions of equations describing nonstationary viscous compressible flows. We show that the classical entropy and energy estimates for solutions give enough information for proving that a weak limit of solutions is a distribution solution, provided we make certain additional assumptions on the boundedness of the density, velocity and temperature and an assumption concerning “cavitation”.Keywords
This publication has 3 references indexed in Scilit:
- Viscosity method in a transonic flowCommunications in Partial Differential Equations, 1988
- Existence of global solutions for 2-dimensional viscous compressible flowsJournal of Functional Analysis, 1986
- Finite Element Approximation of the Navier-Stokes EquationsPublished by Springer Nature ,1979