101.729 AKANA Reaction-diffusion and cross-diffusion systems
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2018W, SV, 2.0h, 3.0EC

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: SV Special Lecture

Aim of course

Existence, uniqueness and large-time behaviour of (bounded) weak solutions to some
classes of diffusive PDEs.

Subject of course

Many applications in physics, chemistry and biology can be modeled by reaction-(cross) diffusion systems, which describe the evolution of the densities or concentrations of a multicomponent system. The focus of the first part of the lecture will be on the mathematical properties of reversible reaction-diffusion systems based on entropy methods. Our goal will be to show how the entropy estimate can be used systematically to get bounds leading to the existence of strong or weak solutions, as well as bounds for the convergence rate to equilibrium.

The second part of this lecture will then be devoted to the study of the existence theory for cross-diffusion systems used in applications, for instance a population dynamics model describing the segregation of species due to competition or the Maxwell-Stefan equations modeling the evolution of a gaseous mixture.

Lecturers

  • Daus, Esther

Institute

Course dates

DayTimeDateLocationDescription
Mon10:00 - 12:0001.10.2018 - 28.01.2019Sem.R. DA grün 03 C Dr. Daus
AKANA Reaction-diffusion and cross-diffusion systems - Single appointments
DayDateTimeLocationDescription
Mon01.10.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon08.10.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon15.10.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon22.10.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon29.10.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon05.11.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon12.11.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon19.11.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon26.11.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon03.12.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon10.12.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon17.12.201810:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon07.01.201910:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon14.01.201910:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon21.01.201910:00 - 12:00Sem.R. DA grün 03 C Dr. Daus
Mon28.01.201910:00 - 12:00Sem.R. DA grün 03 C Dr. Daus

Course registration

Not necessary

Curricula

Literature

No lecture notes are available.

Language

if required in English