Videos

Introductory Workshop: Kinetic Theory & Stochastic Partial Differential Equations: The Fisher information for the Boltzmann and Landau equations: I

Presenter
August 25, 2025
SLMath
Keywords:
  • Interacting Particle Systems
  • many-body dynamics
  • Boltzmann equation
  • Vlasov equation
  • Lorentz gas
  • Schrödinger equation
  • singular SPDEs
  • stochastic quantization
  • regularity structures
  • paracontrolled distributions
MSC:
  • 82C40 - Kinetic theory of gases in time-dependent statistical mechanics
  • 60H15 - Stochastic partial differential equations (aspects of stochastic analysis)
Play Video
Abstract
We discuss the problem of global existence of smooth solutions for the space-homogeneous Boltzmann and Landau equations. We analyze how the monotonicity of the Fisher information is used to obtain key a priori estimates.