Room 509, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館509研討室+ Zoom)
Limits of Sobolev Homeomorphisms in Nonlinear Elasticity
Anastasia Molchanova (University of Vienna)
Abstract
Limits of Sobolev homeomorphisms naturally appear in geometric function theory, calculus of variations, and continuum mechanics. In this talk, we discuss essential properties of mappings essential for elastic deformations, focusing on aspects such as continuity, injectivity, and differentiability, as well as Lusin's
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- and
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-conditions.
We consider variational problems of nonlinear elasticity, where admissible deformations are given by limits of Sobolev homeomorphisms, and prove the existence of minimizers.
Organizer: Daniel Spector (NTNU)
