3 citations · 5 across the 3 of their papers we have counts for
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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…
Sobolev Stability for the 2D MHD Equations in the Non-Resistive Limit
Niklas Knobel
In this article, we consider the stability of the 2D magnetohydrodynamics (MHD) equations close to a combination of Couette flow and a constant magnetic field. We consider the idea…
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 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.…