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| Semester | fall semester 2023 |
| Course frequency | Irregular |
| Lecturers | Gianluca Crippa (gianluca.crippa@unibas.ch, Assessor) |
| Content | The course will provide an introduction to the mathematical theory of partial differential equations (PDEs) from fluid dynamics. We will start by deriving the equations from physical principles. We will then (in the two semesters of this course) present several (old and recent) results on the Euler and Navier-Stokes equations. |
| Learning objectives | Acquisition of familiarity with the physical meaning of PDEs from fluid dynamics, and with the mathematical techniques used for their analysis. |
| Bibliography | Jacob Bedrossian and Vlad Vicol, "The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations". AMS. Further literature (or references) will be made available on the ADAM webpage of the lecture. |
| Admission requirements | Analysis I-II, Measure and Integration Theory, Functional Analysis and PDEs. |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Monday | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.001 |
| wöchentlich | Tuesday | 10.15-12.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Modules |
Module Specialisation: Analysis (Master's Studies: Mathematics) |
| Assessment format | continuous assessment |
| Assessment details | Lecture: Oral Exam after the two semesters (mündliche Masterprüfung Vertiefungsmodul Analysis). Exercises: Credit Points will be assigned under the following conditions: (1) Active participation to the lecture and to the exercise session. (2) 66% of the points from the weekly exercise series (points are given for correct solutions). (3) Written test at the end of the semester. |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | no repeat examination |
| Scale | Pass / Fail |
| Repeated registration | as often as necessary |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |