Mathematical Sciences Department Virtual Analysis/PDE Seminar - Michael Novack, Louisiana State University

Thursday, March 20, 2025
1:00 pm to 2:00 pm
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Mathematical Sciences Department Virtual Analysis/PDE Seminar

Speaker: Michael Novack, Louisiana State University
Thursday, March 20th 
1:00 - 2:00 pm
Zoom Link: https://wpi.zoom.us/j/93026374690
Meeting ID: 930 2637 4690
Title: A variational model for 3D features in films/foams
Abstract: Area minimization among a suitable class of 2D surfaces is the basic variational model describing the interfaces in films/foams. In this talk we will discuss a modification of this paradigm in which surfaces are replaced with regions of small but positive volume. The model captures features of real films/foams, such as Plateau borders, that cannot be described by zero volume objects. We will also discuss the PDE approximation of this problem via the Allen-Cahn equation and its relation to Plateau's laws, which govern the possible singularities.

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Department(s):

Mathematical Sciences