We study a kinetic equation of the Vlasov-Wave type, which arises in the description of the behaviour of a large number of particles interacting weakly with an environment, composed of an infinite collection of local vibrational degrees of freedom, modeled by wave equations. We use variational techniques to establish the existence of large families of stationary states for this system, and analyze their stability
International audienceStability of spatially inhomogeneous stationary solutions to the Vlasov equati...
26 pages, 8 figures; text slightly modified, references added, typos correctedInternational audience...
We study the linearized Vlasov equation for a bunched beam subject to an arbitrary wake function. Fo...
International audienceWe study a kinetic equation of the Vlasov-Wave type, which arises in the descr...
International audienceWe are interested in a kinetic equation intended to describe the interaction o...
We perform a detailed study of the relaxation towards equilibrium in the Hamiltonian Mean-Field (HMF...
We here discuss the emergence of quasistationary states (QSS), a universal feature of systems with l...
International audienceWe prove that the N particles approximation of a class of stable stationary so...
We briefly review the derivation of the Vlasov equation, which is a convenient approximation for the...
A. Komech, M. Kunze and H. Spohn have studied the joint dynamics of a classical point particle and a...
Long-range interactions are known to induce unusual features in physical systems. An example is give...
The stability features of steady states of the spherically symmetric Einstein-Vlasov system are inve...
In this paper, we are interested in a generalised Vlasov equation, which describes the evolution of ...
Abstract. We present the dynamic instability of smooth compactly supported stationary solu-tions to ...
We investigate the dynamical approach towards equilibrium during the wave-particle interaction proce...
International audienceStability of spatially inhomogeneous stationary solutions to the Vlasov equati...
26 pages, 8 figures; text slightly modified, references added, typos correctedInternational audience...
We study the linearized Vlasov equation for a bunched beam subject to an arbitrary wake function. Fo...
International audienceWe study a kinetic equation of the Vlasov-Wave type, which arises in the descr...
International audienceWe are interested in a kinetic equation intended to describe the interaction o...
We perform a detailed study of the relaxation towards equilibrium in the Hamiltonian Mean-Field (HMF...
We here discuss the emergence of quasistationary states (QSS), a universal feature of systems with l...
International audienceWe prove that the N particles approximation of a class of stable stationary so...
We briefly review the derivation of the Vlasov equation, which is a convenient approximation for the...
A. Komech, M. Kunze and H. Spohn have studied the joint dynamics of a classical point particle and a...
Long-range interactions are known to induce unusual features in physical systems. An example is give...
The stability features of steady states of the spherically symmetric Einstein-Vlasov system are inve...
In this paper, we are interested in a generalised Vlasov equation, which describes the evolution of ...
Abstract. We present the dynamic instability of smooth compactly supported stationary solu-tions to ...
We investigate the dynamical approach towards equilibrium during the wave-particle interaction proce...
International audienceStability of spatially inhomogeneous stationary solutions to the Vlasov equati...
26 pages, 8 figures; text slightly modified, references added, typos correctedInternational audience...
We study the linearized Vlasov equation for a bunched beam subject to an arbitrary wake function. Fo...