The Lagrangian structure of the Vlasov-Poisson system in domains with specular reflection
From MaRDI portal
Publication:1620838
DOI10.1007/s00220-018-3242-5zbMath1497.35467arXiv1712.01138OpenAlexW2773340776MaRDI QIDQ1620838
Publication date: 14 November 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.01138
PDEs in connection with optics and electromagnetic theory (35Q60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for linear first-order PDEs (35F10) Vlasov equations (35Q83) Transport equations (35Q49)
Related Items (3)
A new perspective on Wasserstein distances for kinetic problems ⋮ Global well-posedness of Vlasov-Poisson-type systems in bounded domains ⋮ Onsager-type conjecture and renormalized solutions for the relativistic Vlasov–Maxwell system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lagrangian flows for vector fields with anisotropic regularity
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence and uniqueness of maximal regular flows for non-smooth vector fields
- On the Lagrangian structure of transport equations: the Vlasov-Poisson system
- Transport equation and Cauchy problem for BV vector fields
- On global existence for the Vlasov-Poisson system in a half space
- Ordinary differential equations, transport theory and Sobolev spaces
- Global existence for the Vlasov-Poisson system in bounded domains
- Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data
- The trace of Sobolev-Slobodeckij spaces on Lipschitz domains
- Boundary value problems in abstract kinetic theory
- Global existence for the Poisson-Vlasov system with nearly symmetric data
- Vlasov equations
- The Green function for uniformly elliptic equations
- 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
- Global-in-time solutions to the three-dimensional Vlasov--Poisson system
- Product rule and chain rule estimates for fractional derivatives on spaces that satisfy the doubling condition
- On the initial boundary-value problem for the Vlasov-Poisson system: Existence of weak solutions and stability
- Singular solutions of the Vlasov-Maxwell system on a half line
- Global weak solutions of the Vlasov-Maxwell system with boundary conditions
- Initial-boundary value problems for the Vlasov-Poisson equations in a half-space
- LAGRANGIAN FLOWS FOR VECTOR FIELDS WITH GRADIENT GIVEN BY A SINGULAR INTEGRAL
- Weak solutions of the Vlasov-Poisson initial boundary value problem
- Global weak solutions of Vlasov‐Maxwell systems
- On the classical solutions of the initial value problem for the unmodified non‐linear Vlasov equation I general theory
- On the classical solutions of the initial value problem for the unmodified non‐linear vlasov equation II special cases
- Weak solutions of the initial‐boundary value problem for the Vlasov–Poisson system
- On The Trace Problem For Solutions Of The Vlasov Equation
- Regularity for the Vlasov--Poisson System in a Convex Domain
- Continuity equations and ODE flows with non-smooth velocity
This page was built for publication: The Lagrangian structure of the Vlasov-Poisson system in domains with specular reflection
