2 papers
math.AP2020
Non-uniqueness for the Euler equations up to Onsager's critical exponent
Sara Daneri, Eris Runa, Laszlo Szekelyhidi
In this paper we deal with the Cauchy problem for the incompressible Euler equations in the three-dimensional periodic setting. We prove non-uniqueness for an -dense set of Hö…
math.AP2019
Very weak solutions to the two dimensional Monge-Ampére equation
Wentao Cao, László Székelyhidi
In this short note we revisit the convex integration approach to constructing very weak solutions to the 2D Monge-Ampére equation with Hölder-continuous first derivatives of expone…