On stable dynamics in kinetic and fluid theory - the example of Landau's damping
Seminar in Mathematics
Abstract: In many fundamental models of kinetic and fluid theory, a full understanding of dynamics remains elusive due to the complexity and high-dimensional nature of nonlinear interactions. Instead, stable dynamics are of primary interest as they often govern long-term behavior, provide insights into equilibrium states, and are more tractable analytically and numerically.
After an introduction to these questions (framed in terms of partial differential equations), this talk will focus on a classical example in the context of kinetic theory: Landau's damping. Although this is nowadays recognized as a foundational effect in plasma physics, its mathematical understanding is still in its infancy. While the use of the associated terminology has expanded, here we will discuss recent progress towards the original question involving the Vlasov-Poisson system of classical plasma physics.
Practical information
- Informed public
- Free
- This event is internal
Organizer
- Institute of Mathematics
Contact
- Prof. Maryna Viazovska, Prof. Martin Hairer