72 citations · 160 across the 21 of their papers we have counts for
4 papers · 1 filter
On the forced Euler and Navier-Stokes equations: Linear damping and modified scattering
Christian Zillinger
We study the asymptotic behavior of the forced linear Euler and nonlinear Navier-Stokes equations close to Couette flow in a periodic channel. As our main result we show that for s…
On geometric and analytic mixing scales: comparability and convergence rates for transport problems
Christian Zillinger
In this article we are interested in the geometric and analytic mixing scales of solutions to passive scalar problems. Here, we show that both notions are comparable after possibly…
Convex Integration Arising in the Modelling of Shape-Memory Alloys: Some Remarks on Rigidity, Flexibility and Some Numerical Implementations
Angkana Rüland, Jamie M. Taylor, Christian Zillinger
We study convex integration solutions in the context of the modelling of shape-memory alloys. The purpose of the article is two-fold, treating both rigidity and flexibility propert…
On degenerate circular and shear flows: the point vortex and power law circular flows
Michele Coti Zelati, Christian Zillinger
We consider the problem of asymptotic stability and linear inviscid damping for perturbations of a point vortex and similar degenerate circular flows. Here, key challenges include…