Mihaï Bostan
YOU?
Author Swipe
View article: Asymptotic behavior of the two-dimensional Vlasov-Poisson-Fokker-Planck equation with a strong external magnetic field
Asymptotic behavior of the two-dimensional Vlasov-Poisson-Fokker-Planck equation with a strong external magnetic field Open
The subject matter of the paper concerns the Vlasov-Poisson-Fokker-Planck\n(VPFP) equations in the context of magnetic confinement. We study the long-time\nbehavior of the VPFP system with an intense external magnetic field, when\nneglecti…
View article: Long time behavior for collisional strongly magnetized plasma in three space dimensions
Long time behavior for collisional strongly magnetized plasma in three space dimensions Open
We consider the long time evolution of a population of charged particles, under strong magnetic fields and collision mechanisms. We derive a fluid model and justify the asymptotic behavior toward smooth solutions of this regime. In three s…
View article: Long time behavior for collisional strongly magnetized plasma in three space dimensions
Long time behavior for collisional strongly magnetized plasma in three space dimensions Open
We consider the long time evolution of a population of charged particles, under strong magnetic fields and collision mechanisms. We derive a fluid model and justify the asymptotic behavior toward smooth solutions of this regime. In three s…
View article: Asymptotic behavior of the two-dimensional Vlasov-Poisson-Fokker-Planck equation with a strong external magnetic field
Asymptotic behavior of the two-dimensional Vlasov-Poisson-Fokker-Planck equation with a strong external magnetic field Open
The subject matter of the paper concerns the Vlasov-Poisson-Fokker-Planck (VPFP) equations in the context of magnetic confinement. We study the long-time behavior of the VPFP system with an intense external magnetic field, when neglecting …
View article: The three dimensional Maxwell equations with strongly anisotropic electric permittivity
The three dimensional Maxwell equations with strongly anisotropic electric permittivity Open
The subject matter of this work concerns the propagation of the electro-magnetic fields through strongly anisotropic media, in the three dimensional setting. We concentrate on the asymptotic behavior for the solutions of the Maxwell equati…
View article: Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part I : well prepared initial conditions
Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part I : well prepared initial conditions Open
The subject matter of this paper concerns the magnetic confinement. We focus on the asymptotic behavior of the three dimensional Vlasov-Poisson system with strong external magnetic field. We investigate second order approximations, when ta…
View article: Fluid models with phase transition for kinetic equations in swarming
Fluid models with phase transition for kinetic equations in swarming Open
We concentrate on kinetic models for swarming with individuals interacting through self-propelling and friction forces, alignment and noise. We assume that the velocity of each individual relaxes to the mean velocity. In our present case, …
View article: Multi-scale analysis for wave problems with disparate propagation speeds
Multi-scale analysis for wave problems with disparate propagation speeds Open
The subject matter of this work concerns the asymptotic behavior of the wave problems, when the propagation speed in one direction is much larger than in the other directions. We establish weak and strong convergence results. We appeal to …
View article: Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions
Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions Open
We investigate the Vlasov-Poisson equations perturbed by a strong external uniform magnetic field. We study the asymptotic behavior of the solutions, based on averaging techniques. We analyze the case of general initial conditions. By filt…
View article: Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions
Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions Open
View article: Multi-scale analysis for highly anisotropic parabolic problems
Multi-scale analysis for highly anisotropic parabolic problems Open
We focus on the asymptotic behavior of strongly anisotropic parabolic problems. We concentrate on heat equations, whose diffusion matrix fields have disparate eigenvalues. We establish strong convergence results toward a profile. Under sui…
View article: Finite Larmor radius regime: Collisional setting and fluid models
Finite Larmor radius regime: Collisional setting and fluid models Open
The subject matter of this paper concerns the derivation of fluid limits for gyro-kinetic models. The arguments apply for any collision kernel satisfying the usual conservations (mass, momentum, kinetic energy) and possessing a production …
View article: Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part II : general initial conditions
Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part II : general initial conditions Open
We discuss the asymptotic behavior of the Vlasov-Poisson system in the framework of the magnetic confinement, that is, under a strong external magnetic field. We concentrate on curved three dimensional magnetic fields. We derive second ord…
View article: Hydrodynamic limits for kinetic flocking models of Cucker-Smale type
Hydrodynamic limits for kinetic flocking models of Cucker-Smale type Open
We analyse the asymptotic behavior for kinetic models describing the collective behavior of animal populations. We focus on models for self-propelled individuals, whose velocity relaxes toward the mean orientation of the neighbors. The sel…
View article: Asymptotic Behavior for the Vlasov--Poisson Equations with Strong External Magnetic Field. Straight Magnetic Field Lines
Asymptotic Behavior for the Vlasov--Poisson Equations with Strong External Magnetic Field. Straight Magnetic Field Lines Open
International audience
View article: Hydrodynamic limits for kinetic flocking models of Cucker-Smale type
Hydrodynamic limits for kinetic flocking models of Cucker-Smale type Open
We analyse the asymptotic behavior for kinetic models describing the collective behavior of animal populations. We focus on models for self-propelled individuals, whose velocity relaxes toward the mean orientation of the neighbors. The sel…
View article: The finite Larmor radius regime for the Vlasov-Poisson equations. The three dimensional setting with non uniform magnetic field
The finite Larmor radius regime for the Vlasov-Poisson equations. The three dimensional setting with non uniform magnetic field Open
The subject matter of this paper concerns the mathematical analysis of toka-mak plasmas. We focus on the finite Larmor radius regime with general magnetic shapes. We concentrate on the asymptotic analysis for the Vlasov-Poisson equations u…
View article: Multi-scale analysis for highly anisotropic parabolic problems
Multi-scale analysis for highly anisotropic parabolic problems Open
View article: Reduced fluid models for self-propelled particles interacting through alignment
Reduced fluid models for self-propelled particles interacting through alignment Open
The asymptotic analysis of kinetic models describing the behavior of particles interacting through alignment is performed. We will analyze the asymptotic regime corresponding to large alignment frequency where the alignment effects are dom…
View article: Reduced fluid models for self-propelled particles interacting through alignment
Reduced fluid models for self-propelled particles interacting through alignment Open
The asymptotic analysis of kinetic models describing the behavior of particles interacting through alignment is performed. We will analyze the asymptotic regime corresponding to large alignment frequency where the alignment effects are dom…
View article: Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach
Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach Open
International audience
View article: Le système de Vlasov–Poisson effectif pour les plasmas fortement magnétisés
Le système de Vlasov–Poisson effectif pour les plasmas fortement magnétisés Open
Nous étudions le régime du rayon de Larmor fini pour le système de Vlasov–Poisson. Le champ magnétique est supposé uniforme. Nous restreignons l'étude de ce problème non linéaire au cas bi-dimensionnel. Nous obtenons le modèle limite en ap…
View article: The Effective Vlasov--Poisson System for the Finite Larmor Radius Regime
The Effective Vlasov--Poisson System for the Finite Larmor Radius Regime Open
International audience; The subject matter of this paper concerns the finite Larmor radius regime of the Vlasov-Poisson system for strongly magnetized plasmas. We appeal to gyro-average methods, and determine the explicit expressions for t…
View article: MultiScale Analysis for Linear First Order PDEs. The Finite Larmor Radius Regime
MultiScale Analysis for Linear First Order PDEs. The Finite Larmor Radius Regime Open
International audience; The subject matter of this paper concerns the asymptotic analysis of mathematical models for strongly magnetized plasmas. We concentrate on the finite Larmor radius regime with non uniform magnetic field in three di…
View article: Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach
Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach Open
We perform the asymptotic analysis of parabolic equations with stiff transport terms. This kind of problem occurs, for example, in collisional gyrokinetic theory for tokamak plasmas, where the velocity diffusion of the collision mechanism …
View article: Asymptotic analysis of parabolic equations with stiff transport terms by\n a multi-scale approach
Asymptotic analysis of parabolic equations with stiff transport terms by\n a multi-scale approach Open
We perform the asymptotic analysis of parabolic equations with stiff\ntransport terms. This kind of problem occurs, for example, in collisional\ngyrokinetic theory for tokamak plasmas, where the velocity diffusion of the\ncollision mechani…
View article: The effective Vlasov-Poisson system for strongly magnetized plasmas
The effective Vlasov-Poisson system for strongly magnetized plasmas Open
We study the finite Larmor radius regime for the Vlasov-Poisson system. The magnetic field is assumed to be uniform. We investigate this non linear problem in the two dimensional setting. We derive the limit model by appealing to gyro-aver…
View article: High magnetic field equilibria for the Fokker–Planck–Landau equation
High magnetic field equilibria for the Fokker–Planck–Landau equation Open
The subject matter of this paper concerns the equilibria of the Fokker–Planck–Landau equation under the action of strong magnetic fields. Averaging with respect to the fast cyclotronic motion when the Larmor radius is supposed to be finite…
View article: On the Boltzmann equation for charged particle beams under the effect of strong magnetic fields
On the Boltzmann equation for charged particle beams under the effect of strong magnetic fields Open
The subject matter of this paper concerns the paraxial approximation for the transport of charged particles. We focus on the magnetic confinement properties of charged particle beams. The collisions between particles are taken into account…