3 citations · 6 across the 5 of their papers we have counts for
5 papers
On a -Structure in Geometrically Linearized Elasticity: Qualitative and Quantitative Analysis and Numerical Simulations
Roman Indergand, Dennis Kochmann, Angkana Rüland +2
We study the rigidity properties of the -structure for the symmetrized gradient from \cite{BFJK94} qualitatively, quantitatively and numerically. More precisely, we complement…
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation
Niklas Knobel, Christian Zillinger
In this article we consider the stability threshold of the 2D magnetohydrodynamics (MHD) equations near a combination of Couette flow and large constant magnetic field. We study th…
On nonlinear Landau damping and Gevrey regularity
Christian Zillinger
In this article we study the problem of nonlinear Landau damping for the Vlasov-Poisson equations on the torus. As our main result we show that for perturbations initially of size…
On Echoes in Magnetohydrodynamics with Magnetic Dissipation
Niklas Knobel, Christian Zillinger
We study the long time asymptotic behavior of the inviscid magnetohydrodynamic equations with magnetic dissipation near a combination of Couette flow and a constant magnetic field.…
Higher Sobolev Regularity of Convex Integration Solutions in Elasticity
Angkana Rüland, Christian Zillinger, Barbara Zwicknagl
In this article we discuss quantitative properties of convex integration solutions arising in problems modeling shape-memory materials. For a two-dimensional, geometrically lineari…