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math.AP2023
A New Convex Integration Approach for the Compressible Euler Equations and Failure of the Local Maximal Dissipation Criterion
Simon Markfelder
In this paper we establish a new convex integration approach for the barotropic compressible Euler equations in two space dimensions. In contrast to existing literature, our new me…
math.AP2023
Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations
Daniel W. Boutros, Simon Markfelder, Edriss S. Titi
We develop a convex integration scheme for constructing nonunique weak solutions to the hydrostatic Euler equations (also known as the inviscid primitive equations of oceanic and a…