Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Note on the Problem of Dissipative Measure-Valued Solutions to the Compressible Non-Newtonian System
H. Al Baba, M. Caggio, B. Ducomet, Š. Nečasová
Abstract:
We introduce a dissipative measure-valued solution to the compressible non-Newtonian system. We generalized a result given by Novotný, Nečasová [14]. We derive a relative entropy inequality for measure-valued solution as an extension of the "classical" entropy inequality introduced by Dafermos [2], Mellet-Vasseur [11], Feireisl-Jin-Novotný [5].
Keywords:
dissipative measure-valued solution, non-Newtonian fluid, compressible fluid

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2017.001

In Proceedings Topical Problems of Fluid Mechanics 2017, Prague, 2017 Edited by David Šimurda and Tomáš Bodnár, pp. 1-6 ISBN 978-80-87012-61-1 (Print) ISSN 2336-5781 (Print)