Instability of periodic BGK equilibria

1995/01/01 by Yan Guo, Walter A. Strauss · 183 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Applied mathematics #Classical mechanics #Computer science #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Instability #Mathematical analysis #Mathematics #Mechanics #Physics #Plasma #Quantum mechanics #Stability (learning theory) #Statistical physics #Vlasov equation

paper · doi:10.1002/cpa.3160480803

published in Communications on Pure and Applied Mathematics 48(8), 861-894 (Wiley)

openalex publication_date 1995/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Abstract A collisionless plasma is described by the Vlasov‐Poisson equations. The BGK equilibria were proposed in 1957 as the simplest spatially‐dependent equilibria. Since that time the question of their instability has been an important open problem. We prove that certain periodic BGK equilibria are unstable. ©1995 John Wiley & Sons, Inc.

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