Applied Mathematics seminar : Large diffusion problems


3:00 PM - 4:00 PM


  • Time: 15:00-16:00 (Beijing Time)
  • Date: March 3, 2023
  • Venue: MA305
  • Theme: Large diffusion problems


In this talk we will present a general introduction to the study of large diffusion problems, a type of singular perturbation.

We will consider a family of reaction-diffusion boundary value problems where the diffusion rate becomes larger and larger in a subregion of the domain where the problems are posed. Two questions then arise:
1. What is the limit problem (if any)?
2. In which sense do the solutions of the approximated problems converge to those of the limit?

We will answer these questions using a semigroup approach. If time allows, we will also discuss the asymptotic behaviour of the approximated problems and their relation to that of the limit.


Dr. Alejandro Vidal-Lopez.

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