Linearized Wave-Damping Structure of Vlasov--Poisson in $\mathbb{R}^3$

DOI10.1137/20M1386141zbMath1497.35465arXiv2007.08580OpenAlexW3043776402MaRDI QIDQ5092894

Clément Mouhot, Jacob Bedrossian, Nader Masmoudi

Publication date: 26 July 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08580

zbMATH Keywords

Landau dampingdispersiveVlasov-Poissonlong-time dynamicsKlein-Gordonlinearized

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Asymptotic expansions of solutions to PDEs (35C20) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Electromagnetic theory (general) (78A25) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Volterra integral equations (45D05) Vlasov equations (35Q83) Transport equations (35Q49)

Related Items (5)

On the stability of homogeneous equilibria in the Vlasov–Poisson system on R3 ⋮ Two-flow instability of one class of spherically symmetric dynamic equilibrium states of Vlasov-Poisson plasma ⋮ Landau damping on the torus for the Vlasov-Poisson system with massless electrons ⋮ Future stability of expanding spatially homogeneous FLRW solutions of the spherically symmetric Einstein–massless Vlasov system with spatial topology R3 ⋮ The Vlasov–Poisson–Landau system in the weakly collisional regime

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