48 citations · 201 across the 22 of their papers we have counts for
4 papers · 2 filters
Non Uniqueness of power-law flows
Jan Burczak, Stefano Modena, László Székelyhidi
We apply the technique of convex integration to obtain non-uniqueness and existence results for power-law fluids, in dimension . For the power index below the compactne…
Mixing solutions for the Muskat problem with variable speed
Florent Noisette, László Székelyhidi
We provide a quick proof of the existence of mixing weak solutions for the Muskat problem with variable mixing speed. Our proof is considerably shorter and extends previous results…
Dissipative Euler flows for vortex sheet initial data without distinguished sign
Francisco Mengual, László Székelyhidi
We construct infinitely many admissible weak solutions to the 2D incompressible Euler equations for vortex sheet initial data. Our initial datum has vorticity concentrated on a sim…
A new approach to the Rayleigh-Taylor instability
Björn Gebhard, József J. Kolumbán, László Székelyhidi
In this article we consider the inhomogeneous incompressible Euler equations describing two fluids with different constant densities under the influence of gravity as a differentia…