Details

Autor(en) / Beteiligte

• Dong, Hongjie
• Guo, Yan
• Ouyang, Zhimeng

Titel

The Vlasov–Poisson–Landau System with the Specular-Reflection Boundary Condition

Ist Teil von

• Archive for rational mechanics and analysis, 2022-12, Vol.246 (2-3), p.333-396

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2022

Link zum Volltext

Quelle

SpringerLink (Online service)

Beschreibungen/Notizen

• We consider the Vlasov–Poisson–Landau system, a classical model for a dilute collisional plasma interacting through Coulombic collisions and with its self-consistent electrostatic field. We establish global stability and well-posedness near the Maxwellian equilibrium state with decay in time and some regularity results for small initial perturbations, in any general bounded domain (including a torus as in a tokamak device), in the presence of specular reflection boundary condition. We provide a new improved L 2 → L ∞ framework: L 2 energy estimate combines only with S p estimate for the ultra-parabolic equation.