241214 Introduction to Boltzmann equations (S) (WiSe 2024/2025)
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Description: The Boltzmann equations are nonlinear, non-local partial differential equations. They describe the evolution of the distribution of particles in a non-equilibrium dilute gas system, where the particles interact via two-particle elastic collisions. The Boltzmann equations play an important role in both mathematics and physics. Due to their complexity, many problems related to the Boltzmann equations remain open.
In this seminar, we will start with the spatially homogeneous Boltzmann equations (where the positions are degenerate) to discuss well-posedness, the H-Theorem related to dissipative entropy, and the propagation of regularities. Then, we will move on to the inhomogeneous Boltzmann equations, addressing their Cauchy problems and hydrodynamic limits to Navier-Stokes equations. The specific topics will be tailored to match the level and interests of the participants.
Prerequisites:
A course in PDE and functional analysisPreliminary meeting:
Tuesday, July 16, 14:15 in V2-135If you are interested in this seminar but were unable to attend the preliminary meeting, please contact: zihui.he@uni-bielefeld.de
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
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Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profilierung 1 | Profilierungsseminar | Study requirement
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Student information |
| 24-M-P1a Profilierung 1 Teil A | Profilierungsseminar | Study requirement
|
Student information |
| 24-M-P1b Profilierung 1 Teil B | Profilierungsseminar | Study requirement
|
Student information |
| 24-M-P2 Profilierung 2 | Profilierungsseminar | Study requirement
|
Student information |
| 24-M-PWM Profilierung Wirtschaftsmathematik | Profilierungsseminar | Study requirement
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Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Bielefeld Graduate School in Theoretical Sciences / Promotion | |||||||
| Mathematik / Promotion | Subject-specific qualification | 1 | |||||
| Studieren ab 50 |
- Registered number: 8
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- WS2024_241214@ekvv.uni-bielefeld.de
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- 8 Students to be reached directly via email
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- Last update basic details/teaching staff:
- Tuesday, January 21, 2025
- Last update times:
- Tuesday, January 21, 2025
- Last update rooms:
- Tuesday, January 21, 2025
- Type(s) / SWS (hours per week per semester)
- seminar (S) / 2
- Language
- This lecture is taught in english
- Department
- Faculty of Mathematics
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