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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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11 papers · 2 filters
On the Hardy-Schrödinger operator with a boundary singularity
Nassif Ghoussoub, Frédéric Robert
We investigate the Hardy-Schrödinger operator on domains $Ω\subset\rn$, whose boundary contain the singularity . The situation is quite different from the…
Large time behavior for the fast diffusion equation with critical absorption
Said Benachour, Razvan Gabriel Iagar, Philippe Laurencot
We study the large time behavior of nonnegative solutions to the Cauchy problem for a fast diffusion equation with critical zero order absorption $$ \partial_{t}u-Δu^m+u^q=0 \quad…
WENO schemes applied to the quasi-relativistic Vlasov--Maxwell model for laser-plasma interaction
Francesco Vecil, Pep Mulet, Simon Labrunie
In this paper we focus on WENO-based methods for the simulation of the 1D Quasi-Relativistic Vlasov--Maxwell (QRVM) model used to describe how a laser wave interacts with and heats…
Approximate controllability of the Schrödinger Equation with a polarizability term in higher Sobolev norms
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
This analysis is concerned with the controllability of quantum systems in the case where the standard dipolar approximation, involving the permanent dipole moment of the system, is…
Efficient finite dimensional approximations for the bilinear Schrodinger equation with bounded variation controls
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
This the text of a proceeding accepted for the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014). We present some results of an ongoing resear…
Scalar boundary value problems on junctions of thin rods and plates. I. Asymptotic analysis and error estimates
R. Bunoiu, G. Cardone, S. A. Nazarov
We derive asymptotic formulas for the solutions of the mixed boundary value problem for the Poisson equation on the union of a thin cylindrical plate and several thin cylindrical r…
Logarithmic stability in determining two coefficients in a dissipative wave equation. Extensions to clamped Euler-Bernoulli beam and heat equations
Kaïs Ammari, Mourad Choulli
We are concerned with the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. We establish stab…
Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid
Olivier Glass, Alexandre Munnier, Franck Sueur
The point vortex system is usually considered as an idealized model where the vorticity of an ideal incompressible two-dimensional fluid is concentrated in a finite number of movin…
On the Fattorini Criterion for Approximate Controllability and Stabilizability of Parabolic Systems
Mehdi Badra, Takéo Takahashi
In this paper, we consider the well-known Fattorini's criterion for approximate controllability of infinite dimensional linear systems of type . We precise the result pr…
Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold
Frédéric Robert, Jérôme Vétois
We construct blowing-up sign-changing solutions to some nonlinear critical equations by glueing a standard bubble to a degenerate function. We develop a method based on analyticity…
Remarks on two fourth order elliptic problems in whole space
Baishun Lai, Dong Ye
We are interested in entire solutions for the semilinear biharmonic equation in , where or . For the exponential case, we prove tha…