72 citations · 160 across the 21 of their papers we have counts for
26 papers
On surface energies in scaling laws for singular perturbation problems for martensitic phase transitions
Angkana Rüland, Camillo Tissot, Antonio Tribuzio +1
The objective of this article is to compare different surface energies for multi-well singular perturbation problems associated with martensitic phase transformations involving hig…
Large norm inflation of the current in the viscous, non-resistive magnetohydrodynamics equations
Michele Dolce, Niklas Knobel, Christian Zillinger
We consider the ideally conducting, viscous magnetohydrodynamics (MHD) equations in two dimensions. Specifically, we study the nonlinear dynamics near a combination of Couette flow…
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.…