*ONLINE TALK* ANALYSIS OF FLUIDS AND RELATED TOPICS: Stability for a Collisional Plasma in a Bounded Domain, Zhimeng Ouyang, IPAM (UCLA)

Analysis of Fluids and Related Topics
  • Zhimeng Ouyang
  • IPAM (UCLA)
  • Stability for a Collisional Plasma in a Bounded Domain
Mar 31, 2022
3 pm
*ONLINE TALK*

Online talk

In this talk, I will discuss the Vlasov-Poisson-Landau system in a bounded domain with the specular-reflection boundary condition. This is a classical model for a dilute collisional plasma interacting through Coulombic collisions and self-generated electric fields. We establish the global well-posedness for small initial perturbations near the Maxwellian equilibrium state. The proof is based on a new improved L2→L∞L2→L∞ framework: L2L2 energy estimate combines with the SpSp estimate for ultra-parabolic equations. 

This talk is based on the joint work with Hongjie Dong and Yan Guo.