MATH6041B - Topics in Differential Equations I - 2017/18

Announcement

• Jan 5: Welcome to the course. Here are the confirmed changes of three time slots: Lecture on Jan 18 (Thu, 2:30-5:15pm) has changed to Jan 15 (Mon, 3:30-6:15pm, ERB 402), Lecture on Jan 25 (Thu, 2:30-5:15pm) has changed to Jan 22 (Mon, 3:30-6:15pm, ERB 402), and Lecture on Mar 1 (Thu, 2:30-5:15pm) has changed to Feb 26 (Mon, 3:30-6:15pm, ERB 402). Note: ERB=William M W Mong Engineering Building
• Jan 23: From today, the course venue has changed to LSB 222 with the same time (2:30-5:15pm each Thursday).
• Feb 20: Reminder: 1) As we agreed, the lecture on Feb 22 has been canceled and will be replaced in another time; 2) The meeting time and place for lectures in the next week is 3:30pm-6:30pm (Feb 26th, Monday), ERB 402.
• Mar 27: Due for the final report is May 12th.

General Information

Lecturer

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

Time and Venue

• Lecture: Th 2:30PM - 5:15PM, Lee Shau Kee Building LT3

Pre-class Notes

• Weak convergence
• Solution of the Boltzmann equation (Seiji Ukai, 1986)
• Asymptotic analysis of fluid equations (Seiji Ukai, 2006)

Lecture Notes

• Lecture 1 (An introduction to mathematical theory of kinetic equation)
• Lecture 2 (Linearized analysis: Spectrum method)
• Lecture 3 (Linearized analysis: Energy method)
• Lecture 4 (Hypercoercivity with confining forces)
• Lecture 5 (Initial value problem on the spatially homogeneous Boltzmann equation)
• Lecture 6 (Application of the Fourier transform to the Boltzmann equation)
• Lecture 7 (Global well-posedness for the spatially inhomogeneous Boltzmann equation)
• Lecture 8 (Asymptotic analysis of the Boltzmann equation)

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