A Minimality Property for Entropic Solutions to Scalar Conservation Laws in 1 + 1 Dimensions
Analysis of PDEs
2009-07-27 v1
Abstract
The Second Law of Thermodynamics asserts that the physical entropy of an adiabatic system is an increasing function in time. In this paper we will study a more stringent version of this law, according to which the entropy should not only increase in time, but the rate of increase is optimal in absolute value among all possible evolutions. We will establish this property in the framework of non-linear scalar hyperbolic conservation law with strictly convex fluxes.
Keywords
Cite
@article{arxiv.0907.4215,
title = {A Minimality Property for Entropic Solutions to Scalar Conservation Laws in 1 + 1 Dimensions},
author = {Michael Blaser and Tristan Riviere},
journal= {arXiv preprint arXiv:0907.4215},
year = {2009}
}
Comments
43 pages