242201 Hyperbolische Differentialgleichungen (V) (WiSe 2005/2006)
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Diese Vorlesung setzt meine Vorlesung zur Analysis und Numerik partieller Differentialgleichungen aus dem Sommersemester fort, kann
aber auch unabh"angig davon geh"ort werden.
Nichtlineare hyperbolische Differentialgleichungen finden eine wichtige Anwendung in der Str"omungs- und Festk"orpermechanik. Wir werden das
wichtigste Beispiel aus diesem Bereich (kompressible Eulergleichungen) herleiten und analysieren. Da die Gleichungen insbesondere auch Schockwellenph"anomene (z.B. den "Uberschallknall) beschreiben sollen , besteht die besondere Schweirigkeit darin, einen L"osungsbegriff f"ur unstetige L"osungen herzuleiten.
Im zweiten Teil wird als numerisches Verfahren zur approximativen L"osung das Finite-Volumen-Verfahren vorgestellt.
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| Frequency | Weekday | Time | Format / Place | Period |
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| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik / Diplom | (Enrollment until SoSe 2008) | SpezSeq | Wahl | 5. 6. 7. | scheinfähig HS |
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