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Nonlinear stability at the Eckhaus boundary
Julien Guillod, Guido Schneider, Peter Wittwer +1
The real Ginzburg-Landau equation possesses a family of spatially periodic equilibria. If the wave number of an equilibrium is strictly below the so called Eckhaus boundary the equ…
Existence and uniqueness of steady weak solutions to the Navier-Stokes equations in
Julien Guillod, Peter Wittwer
The existence of weak solutions to the stationary Navier-Stokes equations in the whole plane is proven. This particular geometry was the only case left open since th…
Optimal asymptotic behavior of the vorticity of a viscous flow past a two-dimensional body
Julien Guillod, Peter Wittwer
The asymptotic behavior of the vorticity for the steady incompressible Navier-Stokes equations in a two-dimensional exterior domain is described in the case where the velocity at i…
On the stationary Navier-Stokes equations in the half-plane
Julien Guillod, Peter Wittwer
We consider the stationary incompressible Navier-Stokes equation in the half-plane with inhomogeneous boundary condition. We prove existence of strong solutions for boundary data c…
Generalized scale-invariant solutions to the two-dimensional stationary Navier-Stokes equations
Julien Guillod, Peter Wittwer
New explicit solutions to the incompressible Navier-Stokes equations in are determined, which generalize the scale-invariant…
On the existence of solutions to the planar exterior Navier Stokes system
Matthieu Hillairet, Peter Wittwer
We consider the stationary incompressible Navier Stokes equation in the exterior of a disk B with non-zero Dirichlet boundary conditions on the disk and zero boundary conditions at…