32 citations · 160 across the 20 of their papers we have counts for
20 papers
A new instability in clustering dark energy?
Farbod Hassani, Julian Adamek, Martin Kunz +2
In this paper, we study the effective field theory (EFT) of dark energy for the -essence model beyond linear order. Using particle-mesh -body simulations that consistently so…
A new nonlinear instability for scalar fields
Farbod Hassani, Pan Shi, Julian Adamek +2
In this letter we introduce the non-linear partial differential equation (PDE) showing a new type of instability. Such equations appear in…
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…