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Classical solutions for a thin film equation

  • Hans Knüpfer (Universität Bonn)
A3 01 (Sophus-Lie room)

Abstract

The spreading of thin liquid films is described by the thin-film equation. It is a degenerate parabolic equation of fourth order, describing a free boundary problem.

Existence, but not uniqueness, for weak solutions have been proved. We show existence and uniqueness for classical solutions. The solution space is a weighted Sobolev space.

seminar
16.01.25 30.01.25

Oberseminar Analysis

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E2 10 (Leon-Lichtenstein) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Augusteum - A314

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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