1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.AP2019★ 1 cited
On entropy conservation for general systems of conservation laws
Tomasz Dębiec
In this work we consider companion conservation laws to general systems of conservation laws. We investigate sufficient regularity for weak solutions to satisfy companion laws, ass…
math.AP2018
Energy Conservation for the Compressible Euler and Navier-Stokes Equations with Vacuum
Ibrokhimbek Akramov, Tomasz Dębiec, Jack W. D. Skipper +1
We consider the compressible isentropic Euler equations on with a pressure law , where . This includes all physically relevant…
math.AP2017
Relative entropy method for measure-valued solutions in natural sciences
Tomasz Dębiec, Piotr Gwiazda, Kamila Łyczek +1
In this article we describe the applications of the relative entropy framework. In particular uniqueness of an entropy solution is proven for a scalar conservation law, using the n…