Lectures on Mappings of Finite Distortion

2014
ISBN: 978-3-319-03172-9
Verlag: Springer International Publishing

Buch, Englisch, Band 2096, 176 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 2993 g

Reihe: Lecture Notes in Mathematics

In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects.

Zielgruppe

Research

Autoren/Hrsg.

Koskela, Pekka

Hencl, Stanislav

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik

Inhaltsverzeichnis

Introduction.- Continuity.- Openness and discreteness.- Images and preimages of null sets.- Homeomorphisms of finite distortion.- Integrability of Jf and 1/Jf.- Final comments.- Appendix.- References.