Seminar Analysis and Mathematical Physics: Klaus Widmayer (Universität Zürich)

Landau damping near the Poisson equilibrium in R^3

While "Landau damping" is regarded as an important effect in the dynamics of hot, collisionless plasmas, its mathematical understanding is still in its infancy. This talk presents a recent nonlinear stability result in this context. Starting with a discussion of stabilizing mechanisms in the linearized Vlasov-Poisson equations near a class of homogeneous equilibria on R^3, we will see how both oscillatory and damping effects arise, and sketch how these mechanisms imply a nonlinear stability result in the specific setting of the Poisson equilibrium. This is based on joint work with A. Ionescu, B. Pausader and X. Wang.

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