Variational Approach to Hyperbolic Free Boundary Problems

Seiro Omata was born in 1957 in Tokyo and received his Master and PhD degrees from Keio University. Since 1994 he has been working at Kanazawa University, becoming Full Professor in 2004. His research focuses on nonlinear evolutionary PDEs, including variational and free boundary problems, numerical analysis and applied analysis spanning numerous topics from fluid dynamics to mathematical finance. He devoted himself to the development of mathematics through the Mathematical Society of Japan, being invited as plenary speaker at its annual meeting in 2014 and serving as the chair of annual meeting in 2019.  Karel Svadlenka received his PhD in mathematics from Kanazawa University, Japan and from Charles University in Prague, Czech Republic, and has been an Associate Professor at the Department of Mathematics, Graduate School of Science, Kyoto University, Japan since 2014. His research interests include calculus variations, nonlinear partial differential equations, numerical analysis, and mathematical modeling.  Elliott Ginder is a Professor at Meiji University in the School of Interdisciplinary Mathematical Sciences. An Aries, he enjoys applied mathematics, especially topics involving interfacial motions, and the calculus of variations. 

Chapter 1. Introduction.- Chapter 2.Physical motivation.- Chapter 3.Discrete Morse flow.- Chapter 4. Discrete Morse flow with free boundary.- Chapter 5.Energy-preserving discrete Morse flow.- Chapter 6.Numerical examples and applications.