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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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16 papers · 2 filters
Null-controllability of cascade reaction-diffusion systems with odd coupling terms
Kévin Le Balc'h, Takéo Takahashi
In this paper, we consider a nonlinear system of two parabolic equations, with a distributed control in the first equation and an odd coupling term in the second one. We prove that…
One dimensional sharp discrete Hardy-Rellich inequalities
Xia Huang, Dong Ye
In this paper, we establish discrete Hardy-Rellich inequalities on with and optimal constants, for any . As far as we are aware, these…
Square integrable surface potentials on non-smooth domains and application to the Laplace equation in
Alexandre Munnier
Motivated by applications in fluid dynamics involving the harmonic Bergman projection we aim at extending the theory of single and double layer potentials (well documented for func…
Optimal bounds for Neumann eigenvalues in terms of the diameter
Antoine Henrot, Marco Michetti
In this paper, we obtain optimal upper bounds for all the Neumann eigenvalues in two situations (that are closely related). First we consider a one-dimensional Sturm-Liouville eige…
Epsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition
Camille Labourie, Antoine Lemenant
In this paper we prove that if (u, K) is an almost-minimizer of the Griffith functional and K is -close to a plane in some ball B R N while separating the ball B in tw…
A numerical study of vortex nucleation in 2D rotating Bose-Einstein condensates
Guillaume Dujardin, Ingrid Lacroix-Violet, Anthony Nahas
This article introduces a new numerical method for the minimization under constraints of a discrete energy modeling multicomponents rotating Bose-Einstein condensates in the regime…
An isoperimetric problem with two distinct solutions
Antoine Henrot, Antoine Lemenant, Ilaria Lucardesi
In this paper we prove that among all convex domains of the plane with two axis of symmetry, the maximizer of the first non trivial Neumann eigenvalue with perimeter constrai…
Shape sensitivity of a 2D Fluid-Structure Interaction problem between a viscous incompressible fluid and an incompressible elastic structure
V. Calisti, I. Lucardesi, J. -F. Scheid
We study the shape differentiability of a general functional depending on the solution of a bidimensional stationary Stokes-Elasticity system, with respect to the reference domain…
Terrace solutions for non-Lipschitz multistable nonlinearities
Thomas Giletti, Ho-Youn Kim, Yong-Jung Kim
Traveling wave solutions of reaction-diffusion equations are well-studied for Lipschitz continuous monostable and bistable reaction functions. These special solutions play a key ro…
Remark on a special class of Finsler -Laplacian equation
Yuan Li, Dong Ye
We investigate the anisotropic elliptic equation . Recently, Esposito, Riey, Sciunzi, and Vuono introduced an anisotropic Kelvin transform in their work \cite{ERSV…
Convergence to a terrace solution in multistable reaction-diffusion equations with discontinuities
Thomas Giletti, Ho-Youn Kim
In this paper we address the large-time behavior of solutions of bistable and multistable reaction-diffusion equations with discontinuities around the stable steady states. We show…
Rebuttal to "Well-posedness and optimal decay rates for the viscoelastic Kirchhoff equation"
Fatiha Alabau-Boussouira
A paper, entitled "Well-posedness and optimal decay rates for the viscoelastic Kirchhoff equation" was published in 2016, in the journal Boletim da Sociedade Paranaense de Matemati…
Local exact controllability of the 1D nonlinear Schrödinger equation in the case of Dirichlet boundary conditions
Alessandro Duca, Vahagn Nersesyan
We consider the 1D nonlinear Schrödinger equation with bilinear control. In the case of Neumann boundary conditions, local exact controllability of this equation near the ground st…
Variational methods for some singular stochastic elliptic PDEs
I. Bailleul, H. Eulry, T. Robert
We use some tools from nonlinear analysis to study two examples of singular stochastic elliptic PDEs that cannot be solved by the contraction principle or the Schauder fixed point…
Fredholm backstepping for critical operators and application to rapid stabilization for the linearized water waves
Ludovick Gagnon, Amaury Hayat, Shengquan Xiang +1
Fredholm-type backstepping transformation, introduced by Coron and Lü, has become a powerful tool for rapid stabilization with fast development over the last decade. Its strength l…
A pseudodifferential calculus for maximally hypoelliptic operators and the Helffer-Nourrigat conjecture
Iakovos Androulidakis, Omar Mohsen, Robert Yuncken
We extend the classical regularity theorem of elliptic operators to maximally hypoelliptic differential operators. More precisely, given vector fields on a smooth…