Lavrentiev Phenomenon in Nonlinear Elasticity
Time: March 20 (Wed.) 14:00-15:00
Place: S101, Gongguan Campus, NTNU
![](https://virtual.math.ntnu.edu.tw/wp-content/uploads/2024/02/0320Molchanova.jpg)
Dr. Anastasia Molchanova
University of Vienna
In the calculus of variations, Lavrentiev’s phenomenon refers to the situation when the minimum value of a certain functional varies significantly depending on the space of functions considered. In this talk, we present a new example of Lavrentiev’s phenomenon in the context of nonlinear elasticity. This example is based on an interplay of the elastic energy’s resistance to infinite compression and the Ciarlet–Necas condition, a constraint preventing global interpenetration of matter on sets of full measure.
個人網頁 https://www.mat.univie.ac.at/~molchanova/
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