Conference Agenda
The sessions of the sections are highlighted in blue, those of the mini-symposia in yellow.
Please select a date or location to show only sessions at that day or location. If you click the selected day again, you return to the agenda overview.
You can also filter by sections or mini-symposia (topics). Please select a single session for detailed view with abstracts.
As participant you can create your own personal agenda. To do so, log into your account first. Then go to the agenda and click on the plus symbol to add sessions to your personal agenda.
|
Daily Overview |
| Session | |
|
Pms2: Partial Differential Equations with multiple scales Location: G309 Session Chair: Matthias Röger Session Chair: Ben Schweizer | |
    | |
Nonlinear interpolation inequalities and pattern formation in biomembranes Humboldt-Universität zu Berlin, Germany We discuss interpolation inequalities that bound variants of fractional Sobolev seminorms in terms of Modica-Morta-type functionals. As an application, we consider a model for pattern formation in biological membranes. The latter are thin structures that are composed of various components, which are often arranged in complex patterns. We consider an energy functional from the literature that consists of a Canham-Helfrich type energy for the thin membrane and a Modica-Mortola type energy for the order parameter describing the local chemical composition. Pattern formation is driven by a coupling between the local chemical composition and the local curvature of the membrane. We will in particular discuss the scaling law for the infimal energy, and the limiting behaviour in some parameter regimes. | |
