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math.AP2022★ 2 cited
Logarithmic Gross-Pitaevskii equation
Rémi Carles, Guillaume Ferriere
We consider the Schr{ö}dinger equation with a logarithmic nonlinearty and non-trivial boundary conditions at infinity. We prove that the Cauchy problem is globally well posed in th…
math.AP2022
Unbounded-energy solutions to the fluid+disk system and long-time behavior for large initial data
Guillaume Ferriere, Matthieu Hillairet
In this paper, we analyse the long-time behavior of solutions to a coupled system describing the motion of a rigid disk in a 2D viscous incompressible fluid. Following previous app…