Introductory Workshop: Kinetic Theory & Stochastic Partial Differential Equations: From Boltzmann to Fluid: Open Systems and Irregular Solutions
Presenter
August 28, 2025
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)
Abstract
In this talk, I will present convergence results for scaled solutions of the Boltzmann equation in open-system settings, such as non-isothermal boundary problems. I will also discuss the case when the limiting fluid solutions lack uniqueness, highlighting recent progress on convergence toward less regular fluid behavior.