Simon Markfelder, Christian Klingenberg
Published 2017-09-14Version 1
We consider the 2-d isentropic compressible Euler equations. It was shown in by E. Chiodaroli, C. De Lellis and O. Kreml that there exist Riemann initial data as well as Lipschitz initial data for which there exist infinitely many weak solutions that fulfill an energy inequality. In this note we will prove that there is Riemann initial data for which there exist infinitely many weak solutions that conserve energy, i.e. they fulfill an energy equality. As in the aforementioned paper we will also show that there even exists Lipschitz initial data with the same property.
On the regularity of weak solutions of the 3D Navier-Stokes equations in $B^{-1}_{\infty,\infty}$
A note about existence for a class of viscous fluid problems
Radon Measure Solutions to Riemann Problems for Isentropic Compressible Euler Equations of Polytropic Gases
![QR code for arXiv:1709.04982 [math.AP]](http://oss.arxitics.com/images/favicon.svg)