Relative entropies, dissipative solutions, and singular limits of complete fluid systems

0433857 - MÚ 2015 US eng C - Conference Paper (international conference)
Feireisl, Eduard
Relative entropies, dissipative solutions, and singular limits of complete fluid systems.
Hyperbolic Problems: Theory, Numerics, Applications. Springfield: American Institute of Mathematical Sciences, 2014 - (Ancona, F.; Bressan, A.; Marcati, P.; Marson, A.), s. 11-27. AIMS Series on Applied Mathematics, 8. ISBN 978-1-60133-017-8.
[International Conference on Hyperbolic Problem: Theory, Numerics, Applications/14./. Padova (IT), 25.06.2012-29.06.2012]
Institutional support: RVO:67985840
Keywords : relative entropy * Navier-Stokes-Fourier system * low Mach number limit
Subject RIV: BA - General Mathematics
https://aimsciences.org/books/am/HYP2012_Proceedings_final_3_optimize_part1.pdf

We discuss the role of relative entropies in the analysis of complete fluid systems. The relative entropy, or rather relative energy functional measures the "distance" between a weak solution of a given system of equations and any other trajectory ranging in the same function space. We introduce a relative entropy functional for the full Navier-Stokes-Fourier system based on the ballistic free energy and discuss possible applications in the mathematical analysis of singular limits.
Permanent Link: http://hdl.handle.net/11104/0238040