YoVDO

Homoenergetic Solutions for the Boltzmann Equation

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Boltzmann Equation Courses Mathematical Modeling Courses Kinetic Theory Courses

Course Description

Overview

Explore homoenergetic solutions of the Boltzmann equation in this lecture from the Hausdorff Junior Trimester Program on Kinetic Theory. Delve into the dynamics of Boltzmann gases under shear, expansion, or compression in nonequilibrium situations. Compare the well-posedness theory of homoenergetic solutions with that of homogeneous solutions, and examine their distinct long-time asymptotics. Investigate cases where the asymptotic behavior deviates from Maxwellian distributions, leading to particle distributions that do not satisfy the detailed balance condition. Learn about various possible long-time asymptotics of homoenergetic solutions and discuss open problems in this field. The lecture presents joint work with R.D. James and J.J.L. Velázquez, offering insights into this specialized area of kinetic theory.

Syllabus

Alessia Nota: Homoenergetic Solutions for the Boltzmann Equation


Taught by

Hausdorff Center for Mathematics

Related Courses

IGCSE Physics Chapter 2 Thermal Physics (Cambridge CIE)
Udemy
Nano-to-Macro Transport Processes
Massachusetts Institute of Technology via MIT OpenCourseWare
National Eligibility Cum Entrance Test (NEET): Exam Prep
Study.com
Bouncy Balls Simulation - Temperature and Pressure Calculations - Episode 5
Let's Code Physics via YouTube
Connections Between Microscopic and Macroscopic Laws by Abhishek Dhar
International Centre for Theoretical Sciences via YouTube