42 citations · 66 across the 16 of their papers we have counts for
18 papers
On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System
D Han-Kwan, É Miot, A Moussa +1
We study the problem of uniqueness of Leray solutions to the three-dimensional Vlasov-Navier-Stokes system. We establish uniqueness whenever the fluid velocity field belongs to the…
On the time-dependent Born-Oppenheimer Approximation
Sebastian Gherghe, Iván Moyano, Israel Michael Sigal
In this paper, we consider the time-dependent Born-Oppenheimer approximation (BOA) of a classical quantum molecule involving a possibly large number of nuclei and electrons, descri…
On the vanishing of eigenfunctions of the Laplacian on tori
Pierre Germain, Iván Moyano, Hui Zhu
Consider an eigenfunction of the Laplacian on a torus. How small can its -norm be on small balls? We provide partial answers to this question by exploiting the distribution of…
Gevrey WKB method for PDO's of real principal type
Richard Lascar, Ivan Moyano
In this article we investigate the Gevrey version of the WKB method known in the smooth and analytic categories. We use conjugation by FIO's and sketch a calculus of FIO's in our s…
Simultaneous control for the heat equation with dirichlet and neumann boundary conditions
Iván Moyano, Nicolas Burq
It is well known that both the heat equation with Dirichlet or Neumann boundary conditions are null controlable as soon as the control acts in a non trivial domain (i.e. a set of p…
A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold
Iván Moyano, Nicolas Burq
In this paper we consider a compact Riemannian manifold (M, g) of class C 1 W 2, and the damped wave or Schrödinger equations on M , under the action of a damping fu…
Propagation of smallness and spectral estimates
Nicolas Burq, Iván Moyano
The purpose of this article is to show that the spectral projector estimates for Laplace operators can be deduced from Logunov-Malinnikova's Propagation of smallness estimates for…
Relaxed solutions for incompressible inviscid flows: A variational and gravitational approximation to the initial value problem
Yann Brenier, Iván Moyano
Following Arnold's geometric interpretation, the Euler equations of an incompressible fluid moving in a domain D are known to be the optimality equation of the minimizing geodesic…
Propagation of smallness and control for heat equations
Nicolas Burq, Iván Moyano
In this note we investigate propagation of smallness properties for solutions to heat equations. We consider spectral projector estimates for the Laplace operator with Dirichlet or…
Quantitative Rates of Convergence to Equilibrium for the Degenerate Linear Boltzmann equation on the Torus
Josephine Evans, Ivan Moyano
We study the linear relaxation Boltzmann equation on the torus with a spatially varying jump rate which can be zero on large sections of the domain. In \cite{BS13} Bernard and Salv…
Large time behavior of the Vlasov-Navier-Stokes system on the torus
Daniel Han-Kwan, Ayman Moussa, Iván Moyano
We study the large time behavior of Fujita-Kato type solutions to the Vlasov-Navier-Stokes system set on . Under the assumption that the initial s…
Spectral Inequalities for the Schr{ö}dinger operator
Gilles Lebeau, Iván Moyano
In this paper we deal with the so-called "spectral inequalities", which yield a sharp quantification of the unique continuation for the spectral family associated with the Schrödin…
Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system
Daniel Han-Kwan, Évelyne Miot, Ayman Moussa +1
We prove a uniqueness result for weak solutions to the Vlasov-Navier-Stokes system in two dimensions, both in the whole space and in the periodic case, under a mild decay condition…
Linear Boltzmann Equation and Fractional Diffusion
Claude Bardos, François Golse, Iván Moyano
Consider the linear Boltzmann equation of radiative transfer in a half-space, with constant scattering coefficient . Assume that, on the boundary of the half-space, the radiatio…
Controllability of a 2D quantum particle in a time-varying disc with radial data
Iván Moyano
In this article we consider a 2-D quantum particle confined a disc whose radius can be deformed continuously in time. We study the problem of controllability of such a quantum part…
Local null-controllability of the 2-D Vlasov-Navier-Stokes system
Iván Moyano
We prove a null controllability result for the Vlasov-Navier-Stokes system, which describes the interaction of a large cloud of particles immersed in a fluid. We show that one can…
On the controllability of the 2-D Vlasov-Stokes system
Iván Moyano
In this paper we prove an exact controllability result for the Vlasov-Stokes system in the two-dimensional torus with small data by means of an internal control. We show that one c…
Flatness for a Strongly Degenerate 1-D Parabolic Equation
Iván Moyano
We consider the degenerate equation on the unit interval , in the strongly degenerate case…