52 citations · 340 across the 29 of their papers we have counts for
32 papers
Sharp Higher Integrability Theory, Part I: The -norm of the Beurling--Ahlfors transform
Andrea Agazzi, Kari Astala, Giuseppe Bruno +18
We confirm a conjecture posed by T. Iwaniec in 1982: the norm of the Beurling--Ahlfors transform is if , and if .
Non-uniqueness for the Complex Ginzburg-Landau Equation
Joel Dahne, Vladimír Šverák
We show that singularities of the three-dimensional cubic complex Ginzburg-Landau equation developing from smooth initial data can induce non-uniqueness of solutions after the time…
Vanishing viscosity limit for axisymmetric vortex rings
Thierry Gallay, Vladimir Sverak
For the incompressible Navier-Stokes equations in with low viscosity , we consider the Cauchy problem with initial vorticity that represents an infinitely thin vor…
Arnold's variational principle and its application to the stability of planar vortices
Thierry Gallay, Vladimir Sverak
We consider variational principles related to V. I. Arnold's stability criteria for steady-state solutions of the two-dimensional incompressible Euler equation. Our goal is to inve…
On the De Gregorio modification of the Constantin-Lax-Majda Model
Hao Jia, Samuel Stewart, Vladimir Sverak
We study a modification due to De Gregorio of the Constantin-Lax-Majda (CLM) model on the unit circle. The De Gregorio equation is In cont…
Numerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces
Julien Guillod, Vladimír Šverák
We consider the Cauchy problem for the incompressible Navier-Stokes equations in for a one-parameter family of explicit scale-invariant axi-symmetric initial data, w…