44 citations · 106 across the 4 of their papers we have counts for
6 papers
A maximal regularity estimate for the non-stationary Stokes equation in the strip
Antoine Choffrut, Camilla Nobili, Felix Otto
In a dimensional strip with , we study the non-stationary Stokes equation with no-slip boundary condition in the lower and upper plates and periodic boundary condition…
Ill-posedness of the cubic nonlinear half-wave equation and other fractional NLS on the real line
Antoine Choffrut, Oana Pocovnicu
In this paper, we study ill-posedness of cubic fractional nonlinear Schrödinger equations. First, we consider the cubic nonlinear half-wave equation (NHW) on . In partic…
Upper bounds on Nusselt number at finite Prandtl number
Antoine Choffrut, Camilla Nobili, Felix Otto
We study Rayleigh Bénard convection based on the Boussinesq approximation. We are interested in upper bounds on the Nusselt number , the upwards heat transport, in ter…
h-Principles for the incompressible Euler equations
Antoine Choffrut
Recently, De Lellis and Székelyhidi constructed Hölder continuous, dissipative (weak) solutions to the incompressible Euler equations in the torus . The construction c…
Dissipative continuous Euler flows in two and three dimensions
Antoine Choffrut, Camillo De Lellis, László Székelyhidi
Recently, two of these authors construct dissipative continuous (weak) solutions to the incompressible Euler equations on the three-dimensional torus . The building bl…
Local structure of the set of steady-state solutions to the 2D incompressible Euler equations
Antoine Choffrut, Vladimír Šverák
It is well known that the incompressible Euler equations can be formulated in a very geometric language. The geometric structures provide very valuable insights into the properties…