Conservation of energy for the Euler-Korteweg equations

Agnieszka \'Swierczewska-Gwiazda; Athanasios Tzavaras; Piotr Gwiazda; Tomasz D\k{e}biec

arxiv: 1801.00177 · v1 · pith:ZVMIIIPHnew · submitted 2017-12-30 · 🧮 math.AP

Conservation of energy for the Euler-Korteweg equations

Tomasz D\k{e}biec , Piotr Gwiazda , Agnieszka \'Swierczewska-Gwiazda , Athanasios Tzavaras This is my paper

classification 🧮 math.AP

keywords energyeuler-kortewegsystemconservationappliesarticleconditionconserve

0 comments

read the original abstract

In this article we study the principle of energy conservation for the Euler-Korteweg system. We formulate an Onsager-type sufficient regularity condition for weak solutions of the Euler-Korteweg system to conserve the total energy. The result applies to the system of Quantum Hydrodynamics.

This paper has not been read by Pith yet.

Conservation of energy for the Euler-Korteweg equations

discussion (0)