On the Vlasov hierarchy
From MaRDI portal
Publication:3954224
DOI10.1002/mma.1670030131zbMath0492.35067OpenAlexW2092410600MaRDI QIDQ3954224
Publication date: 1981
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1670030131
Transport processes in time-dependent statistical mechanics (82C70) Statistical mechanics of plasmas (82D10) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (74)
Time evolution of an infinitely extended Vlasov system with singular mutual interaction ⋮ On the statistical solutions of the two‐dimensional, periodic Euler equation ⋮ On the mean field and classical limits of quantum mechanics ⋮ Effective dynamics of interacting fermions from semiclassical theory to the random phase approximation ⋮ On the statistical solutions of Vlasov-Poisson equations in two dimensions ⋮ From the Hartree dynamics to the Vlasov equation ⋮ Bosonization of fermionic many-body dynamics ⋮ Mean field dynamics of a quantum tracer particle interacting with a boson gas ⋮ Kinetic equations for processes on co-evolving networks ⋮ Mean-field- and classical limit of many-body Schrödinger dynamics for bosons ⋮ One particle equations for many particle quantum systems: The MCTHDF method ⋮ Approach to equilibrium in a microscopic model of friction ⋮ On the derivation of the Hartree equation from the \(N\)-body Schrödinger equation: uniformity in the Planck constant ⋮ The semi-classical limit of large fermionic systems ⋮ Emergent dynamics of the Kuramoto ensemble under the effect of inertia ⋮ Kac's program in kinetic theory ⋮ A new method and a new scaling for deriving fermionic mean-field dynamics ⋮ Recent developments in macroscopic quantum electrodynamics ⋮ Minimizers of mass critical Hartree energy functionals in bounded domains ⋮ Semi-classical limit of confined fermionic systems in homogeneous magnetic fields ⋮ Well-posedness and blow-up of Virial type for some fractional inhomogeneous Choquard equations ⋮ Mean field evolution of fermions with Coulomb interaction ⋮ Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory ⋮ Unconditional Uniqueness for the Cubic Gross-Pitaevskii Hierarchy via Quantum de Finetti ⋮ A rigorous derivation of the Hamiltonian structure for the Vlasov equation ⋮ A Kac model for kinetic annihilation ⋮ Propagation of Moments for Large Data and Semiclassical Limit to the Relativistic Vlasov Equation ⋮ Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction ⋮ The Cauchy problem for Choquard equation with an inverse‐square potential ⋮ Correlation energy of a weakly interacting Fermi gas with large interaction potential ⋮ Effective dynamics of extended Fermi gases in the high-density regime ⋮ Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions ⋮ Strong semiclassical limits from Hartree and Hartree-Fock to Vlasov-Poisson equations ⋮ A mixed-norm estimate of the two-particle reduced density matrix of many-body Schrödinger dynamics for deriving the Vlasov equation ⋮ Classical density functional theory: representability and universal bounds ⋮ Classical dynamics generated by long-range interactions for lattice fermions and quantum spins ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ On the \(L^2\) rate of convergence in the limit from the Hartree to the Vlasov-Poisson equation ⋮ Speedy motions of a body immersed in an infinitely extended medium ⋮ On the motion of an elastic body in a free gas ⋮ A microscopic derivation of the time-dependent Hartree-Fock equation with Coulomb two-body interaction ⋮ Mean-field evolution of fermionic systems ⋮ Derivation of Hartree's theory for generic mean-field Bose systems ⋮ From the Hartree Equation to the Vlasov--Poisson System: Strong Convergence for a Class of Mixed States ⋮ ON A MICROSCOPIC MODEL OF VISCOUS FRICTION ⋮ Strong semiclassical approximation of Wigner functions for the Hartree dynamics ⋮ Combined mean-field and semiclassical limits of large fermionic systems ⋮ Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held November 29 -- December 5, 2020 (online meeting) ⋮ The Dirac-Frenkel principle for reduced density matrices, and the Bogoliubov-de Gennes equations ⋮ The Schrödinger equation in the mean-field and semiclassical regime ⋮ Global well-posedness of the NLS system for infinitely many fermions ⋮ Minimal blow-up solutions of mass-critical inhomogeneous Hartree equation ⋮ Mean-field dynamics of fermions with relativistic dispersion ⋮ Quantum statistical derivation of the hydrodynamics of a plasma model ⋮ Nonlinear Hartree equation as the mean field limit of weakly coupled fermions ⋮ Mean-field dynamics for the Nelson model with fermions ⋮ From Hartree dynamics to the relativistic Vlasov equation ⋮ The propagation of chaos for a rarefied gas of hard spheres in the whole space ⋮ On the motion of a body in thermal equilibrium immersed in a perfect gas ⋮ Semiclassical limit to the Vlasov equation with inverse power law potentials ⋮ A SIMPLE HAMILTONIAN MODEL OF RUNAWAY PARTICLE WITH SINGULAR INTERACTION ⋮ The Hartree equation with a constant magnetic field: well-posedness theory ⋮ A hydrodynamic model for synchronization phenomena ⋮ Hartree corrections in a mean-field limit for fermions with Coulomb interaction ⋮ Sharp threshold of global well-posedness vs finite time blow-up for a class of inhomogeneous Choquard equations ⋮ Mean field dynamics of interacting fermionic systems ⋮ Mean-Field Evolution of Fermionic Mixed States ⋮ Semi-classical limit of large fermionic systems at positive temperature ⋮ Scattering for a radial defocusing inhomogeneous Choquard equation ⋮ Initial-boundary value problem for a fourth-order plate equation with Hardy-Hénon potential and polynomial nonlinearity ⋮ The Hartree and Vlasov equations at positive density ⋮ On the Vlasov Limit for Systems of Nonlinearly Coupled Oscillators without Noise ⋮ A review of the mean field limits for Vlasov equations ⋮ Convergence towards the Vlasov-Poisson equation from the \(N\)-fermionic Schrödinger equation
Cites Work
This page was built for publication: On the Vlasov hierarchy
