MATH6042  Topics in Differential Equations II  2018/19
Course Name:
Teacher:
Course Year:
2018/19
Term:
2
Announcement
 Here is the references: [Download file]
 Assessment type: 10% for participation, 40% for oral presentation, and 50% for report on a research topic. The oral presentation and research topics will be arranged very soon.
General Information
Lecturer

Prof. Renjun DUAN
 Office: LSB 206
 Tel: 39437977
 Email:
Time and Venue
 Lecture: Th 2:30PM  5:15PM Lady Shaw Bldg 222
Preclass Notes
 A review of mathematical topics in collisional kinetic theory (Villani)
 Hypocoercivity (Villani)
 Diffusive limit of VlasovPoissonFokkerPlanck system (Ghani and Masmoudi)
 Spatially homogenous theory (Chapter 6 of CIP)
 Application of Fourier transformation
 Boltzmann around vacuum
 Largedata existence theory by DiPernaLions
 Existence theory for VlasovPoisson (Chapter 4 of Glassey's book)
 VlasovPoisson around vacuum (Bardos and Degond)
 Initial understanding of Landau damping
 Uniqueness of VlasovPoisson system
Lecture Notes
 Topic on FokkerPlanck operator (Covers: FokkerPlanck operator; Dissipative structure; Regularity; Hydrodynamic limit)
 Topic on Boltzmann operator (Covers: Spatially homogenous problem; Application of Fourier transformation; Spatially inhomogeneous theory including the largedate theory, vacuum problem and perturbation theory)
 Topic on VlasovPoisson system (Covers: Solutions around vacuum; Dispersive property; Weak stability problem)
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Assessment Policy Last updated: January 18, 2019 09:02:41