English
Hilfe
Login
Lehrangebot
Lehrveranstaltungen
Studienangebot
Abschlussarbeiten
Studienbewerbung
Mobility Services
roomTUlearn
Raumverwaltung
Belegungsplan
Unterstützungsangebote für Studierende
Lehre
Forschung
Organisation
105.115
AKFVM Gradient flows in the 2-Wasserstein space & applications to nonlocal-drift-diffusion equations
Diese Lehrveranstaltung ist in allen zugeordneten Curricula Teil der STEOP.
Diese Lehrveranstaltung ist in mindestens einem zugeordneten Curriculum Teil der STEOP.
2008S
2008S, VO, 1.0h, 1.5EC, wird geblockt abgehalten
Merkmale
Semesterwochenstunden: 1.0
ECTS: 1.5
Typ: VO Vorlesung
Ziele der Lehrveranstaltung
Diffusion-aggregation models, gradient flows, Wasserstein distance, stationary solutions.
Inhalt der Lehrveranstaltung
Diffusion-aggregation models from population biology can be interpreted as gradient flows with respect to the Euclidean Wasserstein distance (cf. the works of Ambrosio-Gigli-Savaré or Carrillo-McCann-Villani). We first present an improved existence theory in some special cases, in 1d, where the interaction potential need not be globally convex. Then, we prove that models without diffusion enjoy asymptotically stable measure valued equilibria, with various large time behaviors depending on the properties of the interaction potential. Finally, we prove existence of stationary compactly supported solutions for the model with (small) quadratic diffusion. The results are the product of a work in collaboration with Martin Burger (University of Muenster).
Vortragende Personen
Di Francesco, Marco
Institut
E105 Institut für Stochastik und Wirtschaftsmathematik
LVA Termine
Tag
Zeit
Datum
Ort
Beschreibung
Mo.
09:45 - 10:00
02.06.2008 - 05.06.2008
The lecture is from june 2-5. below you can find reservations which are not necessarily the times of the lectures.The lecturer will try to find times, where all interested students have time.
Mo.
09:45 - 10:00
02.06.2008
The lecture begins on monday at 10 a.m., the end of the lecture on monday, as well as the other times on the tuesday to thursday depend on lecturer and listeners.
Mo.
10:00 - 16:00
02.06.2008
Sem.R. DA grün 04
DI FRANCESCO
Di.
09:00 - 11:00
03.06.2008
Sem.R. DA grün 03 B
DI FRANCESCO
Di.
13:00 - 14:00
03.06.2008
Sem.R. DA grün 03 B
DI FRANCESCO
Mi.
13:00 - 16:00
04.06.2008
Sem.R. DB gelb 09
DI FRANCESCO
Do.
09:00 - 11:00
05.06.2008
Sem.R. DA grün 03 B
DI FRANCESCO
Do.
13:00 - 16:00
05.06.2008
Sem.R. DB gelb 09
DI FRANCESCO
Einzeltermine anzeigen
AKFVM Gradient flows in the 2-Wasserstein space & applications to nonlocal-drift-diffusion equations - Einzeltermine
F
P
1
N
E
Tag
Datum
Zeit
Ort
Beschreibung
Mo.
02.06.2008
09:45 - 10:00
The lecture begins on monday at 10 a.m., the end of the lecture on monday, as well as the other times on the tuesday to thursday depend on lecturer and listeners.
Mo.
02.06.2008
09:45 - 10:00
The lecture is from june 2-5. below you can find reservations which are not necessarily the times of the lectures.The lecturer will try to find times, where all interested students have time.
Mo.
02.06.2008
10:00 - 16:00
Sem.R. DA grün 04
DI FRANCESCO
Di.
03.06.2008
09:00 - 11:00
Sem.R. DA grün 03 B
DI FRANCESCO
Di.
03.06.2008
13:00 - 14:00
Sem.R. DA grün 03 B
DI FRANCESCO
Mi.
04.06.2008
13:00 - 16:00
Sem.R. DB gelb 09
DI FRANCESCO
Do.
05.06.2008
09:00 - 11:00
Sem.R. DA grün 03 B
DI FRANCESCO
Do.
05.06.2008
13:00 - 16:00
Sem.R. DB gelb 09
DI FRANCESCO
F
P
1
N
E
LVA wird geblockt abgehalten
LVA-Anmeldung
Nicht erforderlich
Curricula
Studienkennzahl
Verbindlichkeit
Semester
Anm.Bed.
Info
066 415 Versicherungsmathematik
Keine Angabe
Literatur
Es wird kein Skriptum zur Lehrveranstaltung angeboten.
Sprache
Englisch