6 citations · 6 across the 3 of their papers we have counts for
8 papers · 1 filter
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…
Bounded solutions of ideal MHD with compact support in space-time
Daniel Faraco, Sauli Lindberg, László Székelyhidi
We show that in 3-dimensional ideal magnetohydrodynamics there exist infinitely many bounded solutions that are compactly supported in space-time and have non-trivial velocity and…
On turbulence and geometry: from Nash to Onsager
camillo De Lellis, László Székelyhidi
This article is a short nontechnical survey of recent progresses in fluid dynamics and differential geometry, relating a conjecture of Lars Onsager to the work of Nash on isometric…
Non-renormalized solutions to the continuity equation
Stefano Modena, László Székelyhidi
We show that there are continuous, (), incompressible vector fields for which uniqueness of solutions to the continuity equation fails.
Onsager's conjecture for admissible weak solutions
Tristan Buckmaster, Camillo De Lellis, László Székelyhidi +1
We prove that given any , a time interval , and given any smooth energy profile , there exists a weak solution of the three-dimensi…