38 citations · 42 across the 7 of their papers we have counts for
4 papers · 1 filter
The local least action criterion fails as a selection criterion for weak solutions of the compressible Euler equations
Simon Markfelder, Valentin Pellhammer
It is now well known that the classical notion of admissible weak solutions (also known as weak entropy solutions) does not restore uniqueness for the multi-dimensional compressibl…
Non-uniqueness of global-in-time admissible weak solutions to the isentropic compressible Euler equations for a dense set of initial data
Daniel W. Boutros, Simon Markfelder
In recent years, the technique of convex integration has demonstrated that for some initial data (also referred to as 'wild initial data'), many PDE models of mathematical fluid me…
A Generalized Framework for Convex Integration and its Application to Geophysical Models
Daniel W. Boutros, Simon Markfelder, Edriss S. Titi
In this paper a general framework for convex integration is developed, in order to construct weak solutions to the Cauchy problem, by building on ideas from [C. De Lellis and L. Sz…
Maximal entropy production principle and the Euler system of gas dynamics
Elisabetta Chiodaroli, Eduard Feireisl, Ondřej Kreml +1
Convex integration has revealed that the Euler system of gas dynamics is ill-posed in the class of weak solutions even if the entropy inequality is imposed as an additional constra…