MATH6042A - Topics in Differential Equations II - 2019/20

Announcement

• List of references: [Download file]
• Jan 16th: The lecture on Jan 23 has been moved to Jan 21 (LSB 222, start from 6:30pm).
• Information on Zoom lectures (Updated on 19 March): [Download file]
• Final report: [Download file]

General Information

Lecturer

• Prof. Renjun DUAN
  • Office: LSB 206
  • Tel: 39437977
  • Email:

Time and Venue

• Lecture: Th 2:30PM - 5:15PM, LSB 222

Pre-class Notes

• Existence theory for spatially homogeneous equations
• Noted by A. Bressan
• A lecture note by Laurent Desvillettes
• Compactness of L^p space
• Regularity of non-cutoff Boltzmann operator
• Smoothness in spatially inhomogeneous case
• Formal asymptotics of BE to Landau
• Asymptotic analysis of BE to fluid dynamical equations

Lecture Notes

• Zoom at 20-Feb-2020
• Zoom at 27-Feb-2020
• Zoom at 05-Mar-2020
• Zoom at 12-Mar-2020
• Zoom at 19-Mar-2020
• Zoom at 26-Mar-2020
• Zoom at 09-Apr-2020
• Zoom at 16-Apr-2020
• Added: full note on well-posedness
• Added: linearized operator and iterative techniques
• Zoom at 23-Apr-2020 (full note)
• Zoom at 23-Apr-2020 (short explanatory note)

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