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Tuesday, July 5, 2022 - 14:15 in V2-210/216 + Zoom


Sharp KMS inequalities in all dimensions

A talk in the BI.discrete series by
Franz Gmeineder from University of Konstanz, Germany

Abstract: In this talk we discuss a class of inequalities that generalises the usual Korn inequalities (e.g. known from nonlinear elasticity) to incompatible, so non-gradient fields. These are the Korn-Maxwell-Sobolev (KMS) inequalities. Different from previous contributions, the inequalities discussed in this talk are optimal and applicable to all dimensions. By the weaker features of the curl operator in two dimensions, we shall identify the two-dimensional case as the most challenging one and give some ideas how to approach such inequalities in this setting as well.
The results to be displayed in this talk are joint work with Peter Lewintan and Patrizio Neff (Universität Duisburg-Essen).

Zoom Meeting ID: 926 5310 0938
Passcode: 1928

Within the CRC this talk is associated to the project(s): A7



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