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Oberwolfach Seminar: Interfaces: Modeling, Analysis, Numerics

The evolution of surfaces plays an important role in
geometry, applied mathematics and in the natural
sciences and typically leads to fascinating shapes
and patterns. In this seminar geometric evolution
equations such as mean curvature flow and surface
diffusion are studied as examples of gradient flows
of the area functional. Also in many free boundary
problems the motion of an interface is given
by an evolution law involving curvature quantities.
In particular, we will introduce the Mullins-Sekerka
flow and the Stefan problem with its anisotropic
variants, Willmore flow as well as two-phase flows
and discuss analytical and numerical approaches to
deal with them.

The goal is to provide an introduction into this exciting
research area. We will discuss current main
research topics, and we will in particular stress how
modeling, analysis and numerics work together to
gain a full understanding. The seminar will also include
problem sessions preparing the participants
to conduct their own research in this area.

Please see the detailed program at www.mfo.de/occasion/2247a.

The seminar takes place at the Mathematisches
Forschungsinstitut Oberwolfach. The Institute
covers board and lodging. By the support of the
Carl Friedrich von Siemens Foundation travel
expenses can be reimbursed up to 150 EUR in
average per person (against copies of travel
receipts). The number of participants is restricted
to 25.

Applications including title, ID and date of
the intended seminar, together with one pdf-file
attached containing

• full name and address, incl. e-mail address

• short CV and publication list

• present position, university

• name of supervisor of Ph.D. thesis

• a short summary of previous work and interest should be sent by e-mail via seminars@mfo.de until 4 September 2022 to Prof. Dr. Matthias Hieber
http://cvgmt.sns.it/event/720/

When
Sun Nov 20 – Sat Nov 26, 2022
Where
Oberwolfach (Germany) (map)