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16 papers · 2 filters
Identification of the twisting function for the dynamic Schrödinger operator in a quantum waveguide
Mourad Bellassoued, Michel Cristofol, Eric Soccorsi
In this paper we examine the inverse problem of determining the twisting function for the dynamicSchrodinger operator in a quantum waveguide from some suitable localized, either in…
Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach
Thomas Blanc, Mihai Bostan, Franck Boyer
We perform the asymptotic analysis of parabolic equations with stiff transport terms. This kind of problem occurs, for example, in collisional gyrokinetic theory for tokamak plasma…
Some monotonicity results for general systems of nonlinear elliptic PDEs
Julien Brasseur, Serena Dipierro
In this paper we show that minima and stable solutions of a general energy functional of the form enjoy some monotonicity properties, unde…
The effective Vlasov-Poisson system for strongly magnetized plasmas
Mihaï Bostan, Aurélie Finot, Maxime Hauray
We study the finite Larmor radius regime for the Vlasov-Poisson system. The magnetic field is assumed to be uniform. We investigate this non linear problem in the two dimensional s…
Optimal decay of extremals for the fractional Sobolev inequality
Lorenzo Brasco, Sunra Mosconi, Marco Squassina
We obtain the sharp asymptotic behavior at infinity of extremal functions for the fractional critical Sobolev embedding.
A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane
Francois Hamel, Xavier Ros-Oton, Yannick Sire +1
We consider entire solutions to in , where is a nonlocal operator with translation invariant, even and compactly supported kernel .…