MATH728 Mathematical Theory in Fluid Dynamics Fall 2022

Course Information

Instructor Dr. Changhui Tan
Lectures T Th 11:40am - 12:55pm, at LeConte 315
Office LeConte 427
Office Hours T 9:30am - 11:30am, or by appointment
Textbooks There is no required textbook for this topic course. The material are based on the lecture notes.
Syllabus Click Here


Course Description

  • The course will focus on the mathematical theory for partial differential equations that arise from fluid dynamics, including the Euler equations, the Navier-Stokes equations, and beyond. Topics include the analysis of weak and strong solutions, energy estimates, local and global well-posedness, and asymptotic behaviors.
  • Upon successfully completing this course, students will be familiar with modern analytical tools that can be used to treat PDEs in fluid dynamics and beyond. Selected analytical methods include
  • These advanced techniques can be used to analyze a large class of time-dependent PDEs.


Tentitive Lecture Schedule



  • The grade will be based on class participation, occasional homework assignments, and a possible final project.


Contact Information

  • Contact me at This email address is being protected from spambots. You need JavaScript enabled to view it. if you have any questions.