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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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10 papers · 2 filters
Exterior energy bounds for the critical wave equation close to the ground state
Thomas Duyckaerts, Carlos E. Kenig, Frank Merle
By definition, the exterior asymptotic energy of a solution to a wave equation on is the sum of the limits as of the energy in the the exterior…
Global Jacobian and -convergence in a two-dimensional Ginzburg-Landau model for boundary vortices
Radu Ignat, Matthias Kurzke
In the theory of Ginzburg-Landau vortices, the Jacobian plays a crucial role for the detection of topological singularities. We introduce a related distributional quantity, ca…
Quantitative estimates in stochastic homogenization for correlated coefficient fields
Antoine Gloria, Stefan Neukamm, Felix Otto
This paper is about the homogenization of linear elliptic operators in divergence form with stationary random coefficients that have only slowly decaying correlations. It deduces o…
Gamma Convergence Approach For The Large Deviations Of The Density In Systems Of Interacting Diffusion Processes
Julien Barré, Cedric Bernardin, Raphaël Chétrite +2
We consider extended slow-fast systems of N interacting diffusions. The typical behavior of the empirical density is described by a nonlinear McKean-Vlasov equation depending on ,…
Time optimal observability for Grushin Schrödinger equation
Nicolas Burq, Chenmin Sun
We consider two dimensional Grushin Schrödinger equation posed on a finite cylinder $Ω=(-1,1)_x\times \T_y$ with Dirichlet boundary condition. We obtain the sharp observability by…
Corrector equations in fluid mechanics: Effective viscosity of colloidal suspensions
Mitia Duerinckx, Antoine Gloria
Consider a colloidal suspension of rigid particles in a steady Stokes flow. In a celebrated work, Einstein argued that in the regime of dilute particles the system behaves at leadi…
Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius . We prove that under a symmetric boundary conditio…
A scalar version of the Caflisch-Luke paradox
Antoine Gloria
Consider an infinite cloud of hard spheres sedimenting in a Stokes flow in the whole space . Despite many contributions in fluid mechanics and applied mathematics, the…
Modelling pattern formation through differential repulsion
J. Barré, P. Degond, D. Peurichard +1
Motivated by experiments on cell segregation, we present a two-species model of interacting particles, aiming at a quantitative description of this phenomenon. Under precise scalin…
Dynamics of rigid bodies in a two dimensional incompressible perfect fluid
Olivier Glass, Christophe Lacave, Alexandre Munnier +1
We consider the motion of several rigid bodies immersed in a two-dimensional incompress-ible perfect fluid, the whole system being bounded by an external impermeable fixed boundary…