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Showing 2019 · math.APShow all
3 papers · 2 filters
math.AP2019★ 70 cited
Stability threshold of the 2D Couette flow in Sobolev spaces
Nader Masmoudi, Weiren Zhao
We study the stability threshold of the 2D Couette flow in Sobolev spaces at high Reynolds number . We prove that if the initial vorticity satisfies $\|Ω_{in}-(-1)\|_{…
math.AP2019★ 3 cited
Enhanced dissipation for the 2D Couette flow in critical space
Nader Masmoudi, Weiren Zhao
We consider the 2D incompressible Navier-Stokes equations on , with initial vorticity that is close in to (the vorticity of…
math.AP2019★ 4 cited
On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements
Elena Beretta, Cecilia Cavaterra, Luca Ratti
In this paper we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the model, we determine an asymptotic expansion of the pertu…