Existence, uniqueness and asymptotic behavior of Wigner-Poisson and Vlasov-Poisson systems: A survey
From MaRDI portal
Publication:4398425
DOI10.1080/00411459708221783zbMath0913.35114OpenAlexW2167303229MaRDI QIDQ4398425
Publication date: 19 July 1998
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00411459708221783
existenceuniquenessnonlinear Poisson equationVlasov equationSchrödinger-Poisson systemasymptotic decayWigner-Poisson systempseudo-conformal conservation law
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (12)
TIME-DEPENDENT RESCALINGS AND LYAPUNOV FUNCTIONALS FOR THE VLASOV–POISSON AND EULER–POISSON SYSTEMS, AND FOR RELATED MODELS OF KINETIC EQUATIONS, FLUID DYNAMICS AND QUANTUM PHYSICS ⋮ The Wigner-Poisson and Schrödinger-poisson systems ⋮ On the complete aggregation of the Wigner-Lohe model for identical potentials ⋮ The Wigner-Poisson-\(X_\alpha\) system in Wiener algebra ⋮ The Wigner-Lohe model for quantum synchronization and its emergent dynamics ⋮ A Space-Time Wigner Function Approach to Long Time Schrödinger--Poisson Dynamics ⋮ THE MODIFIED QUANTUM WIGNER SYSTEM IN WEIGHTED -SPACE ⋮ Time-dependent rescalings and Lyapunov functionals for some kinetic and fluid models ⋮ An analysis of the Wigner-Poisson problem with inflow boundary conditions ⋮ On the Cauchy problem for Wigner-Poisson-BGK equation in the Wiener algebra ⋮ A Non-Markovian Phase Space Approach to Schrödinger Dynamics: The Space-Time Wigner Transform ⋮ Remarks on the repulsive Wigner-Poisson system
Cites Work
- Conservation laws and time decay for the solutions of some nonlinear Schrödinger-Hartree equations and systems
- Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
- Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
- On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
- The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation
- Global existence of smooth solutions to the vlasov poisson system in three dimensions
- Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
- THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D
- Time decy, propagarion of low moments and dispersive
This page was built for publication: Existence, uniqueness and asymptotic behavior of Wigner-Poisson and Vlasov-Poisson systems: A survey
