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6 papers · 2 filters
Nodal domains, spectral minimal partitions, and their relation to Aharonov-Bohm operators
Virginie Bonnaillie-Noël, Bernard Helffer, Thomas Hoffmann-Ostenhof
This survey is a short version of a chapter written by the first two authors in the book [A. Henrot, editor. Shape optimization and spectral theory. Berlin: De Gruyter, 2017] (wher…
Derivation of an ornstein-uhlenbeck process for a massive particle in a rarified gas of particles
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond
We consider the statistical motion of a convex rigid body in a gas of N smaller (spherical) atoms close to thermodynamic equilibrium. Because the rigid body is much bigger and heav…
On stationary two-dimensional flows around a fast rotating disk
Isabelle Gallagher, Mitsuo Higaki, Yasunori Maekawa
We study the two-dimensional stationary Navier-Stokes equations describing flows around a rotating disk. The existence of unique solutions is established for any rotating speed, an…
Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
Frédéric Hérau, Daniela Tonon, Isabelle Tristani
In this paper, we investigate the problems of Cauchy theory and exponential stability for the inhomogeneous Boltzmann equation without angular cut-off. We only deal with the physic…
Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel
Frédéric Hérau, Daniela Tonon, Isabelle Tristani
We prove regularization properties in short time for inhomogeneous kinetic equations whose collision kernel behaves like a fractional power of the Laplacian in velocity. We treat a…
The vortex method for 2D ideal flows in exterior domains
Diogo Arsénio, Emmanuel Dormy, Christophe Lacave
The vortex method is a common numerical and theoretical approach used to implement the motion of an ideal flow, in which the vorticity is approximated by a sum of point vortices, s…