Add to ORKGWe discuss a one-dimensional version of the Landau–Pekar equations, which are a system of coupled differential equations with two different time scales. We derive an approximation on the slow time scale in the spirit of a non-linear adiabatic theorem. Dispersive estimates for solutions of the Schrödinger equation with time-dependent potential are a key technical ingredient in our proof
Recently, Avron et al. shed new light on the question of quantum transport in mesoscopic samples cou...
International audienceThe aim of this paper is to obtain estimates for the density of the law of a s...
International audienceThe Landauer principle asserts that the energy cost of erasure of one bit of i...
We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results o...
We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results o...
The Landau–Pekar equations describe the dynamics of a strongly coupled polaron. Here, we provide a c...
International audienceWe prove that negative energy solutions of the complex Ginzburg--Landau equati...
38International audienceIn this paper we prove that the spatially homogeneous Landau equation for Ma...
We prove an adiabatic theorem for the nonautonomous semilinear Gross–Pitaevskii equation. More preci...
Landauer's Principle states that there is a lower bound on the energy required to change the state o...
This work deals with the large time behaviour of the spatially homogeneous Landau equation with Coul...
International audienceWe give explicit time lower bounds in the Lebesgue spaces for all nontrivial s...
Landauer's principle gives a fundamental limit to the thermodynamic cost of erasing information. Its...
60 pages, 13 figuresInternational audienceArtificial interface conditions parametrized by a complex ...
We provide a definition of the effective mass for the classical polaron described by the Landau–Peka...
Recently, Avron et al. shed new light on the question of quantum transport in mesoscopic samples cou...
International audienceThe aim of this paper is to obtain estimates for the density of the law of a s...
International audienceThe Landauer principle asserts that the energy cost of erasure of one bit of i...
We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results o...
We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results o...
The Landau–Pekar equations describe the dynamics of a strongly coupled polaron. Here, we provide a c...
International audienceWe prove that negative energy solutions of the complex Ginzburg--Landau equati...
38International audienceIn this paper we prove that the spatially homogeneous Landau equation for Ma...
We prove an adiabatic theorem for the nonautonomous semilinear Gross–Pitaevskii equation. More preci...
Landauer's Principle states that there is a lower bound on the energy required to change the state o...
This work deals with the large time behaviour of the spatially homogeneous Landau equation with Coul...
International audienceWe give explicit time lower bounds in the Lebesgue spaces for all nontrivial s...
Landauer's principle gives a fundamental limit to the thermodynamic cost of erasing information. Its...
60 pages, 13 figuresInternational audienceArtificial interface conditions parametrized by a complex ...
We provide a definition of the effective mass for the classical polaron described by the Landau–Peka...
Recently, Avron et al. shed new light on the question of quantum transport in mesoscopic samples cou...
International audienceThe aim of this paper is to obtain estimates for the density of the law of a s...
International audienceThe Landauer principle asserts that the energy cost of erasure of one bit of i...