MATH6041B - Topics in Differential Equations I - 2023/24

General Information

Time and Venue

• Lecture: Tu 9:30-12:15; 219 LSB

Course Description

This course will cover some boundary value problems in the kinetic theory, including dynamical Boltzmann equation, stationary Boltzmann equation, Vlasov-Poisson-Boltzmann system. We will mainly focus on the theory of well-posedness and asymptotic stability, and some regularity result will be discussed. If time permits, we will also cover some hydrodynamic limit problems, boundary layer problems and Landau equation.

Textbooks

• Please refer textbooks and references to the course syllabus.

Pre-class Notes

• Course syllabus

Lecture Notes

• Lecture 1-3
• Lecture 4
• Lecture 5
• Lecture 6
• Lecture 7
• Lecture 8
• Lecture 9
• Lecture 10
• Lecture 11
• Lecture 12
• Lecture 13

Quizzes and Exams

• Final report