48 citations · 201 across the 22 of their papers we have counts for
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math.AP2011★ 11 cited
The -principle and the equations of fluid dynamics
Camillo De Lellis, László Székelyhidi
In this note we survey some recent results for the Euler equations in compressible and incompressible fluid dynamics. The main point of all these theorems is the surprising fact th…
math.AP2011
The Operator Norm of a Quadratic Perturbation of the Real Part of the Ahlfors--Beurling Operator
Nicholas Boros, László Székelyhidi, Alexander Volberg
We will explain how to compute the exact operator norm of a "quadratic perturbation" of the real part of the Ahlfors--Beurling operator. For the lower bound estimate we use a…
math.AP2011
Relaxation of the incompressible porous media equation
László Székelyhidi
It was shown recently by Cordoba, Faraco and Gancedo that the 2D porous media equation admits weak solutions with compact support in time. The proof, based on the convex integratio…