Maximal dissipation principle for the complete Euler system

0492755 - MÚ 2019 RIV JP eng C - Konferenční příspěvek (zahraniční konf.)
Březina, J. - Feireisl, Eduard
Maximal dissipation principle for the complete Euler system.
Mathematical Analysis in Fluid and Gas Dynamics. Kyoto: Research lnstitute for Mathematical Sciences, 2018 - (Kobayashi, T.), s. 44-68. RIMS Kokyuroku, 2070. ISSN 1880-2818.
[Mathematical Analysis in Fluid and Gas Dynamics. Kyoto (JP), 05.07.2017-07.07.2017]
GRANT EU: European Commission(XE) 320078 - MATHEF
Institucionální podpora: RVO:67985840
Klíčová slova: complete Euler system * measure-valued solutions * maximal entropy production
Obor OECD: Pure mathematics
http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/2070-05.pdf

We introduce the concept of maximal dissipative measure{valued solution to the complete Euler system. These are solutions that maximize the entropy production rate. We show that these solutions exist under fairly general hypotheses imposed on the data and constitutive relations.
Trvalý link: http://hdl.handle.net/11104/0286132