{"product_id":"variational-approach-to-hyperbolic-free-boundary-problems-9789811967306","title":"Variational Approach to Hyperbolic Free Boundary Problems","description":"\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eThis volume is dedicated to studying hyperbolic free boundary problems with variational structure, which can model oscillatory motion and bouncing of elastic bodies. It uses semi-discretization in time to derive the mathematical problem and discuss the mathematical theory and numerical methods. \u003c\/blockquote\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 94 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 29 November 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Verlag, Singapore\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eThis book is dedicated to the study of hyperbolic free boundary problems with variational structure, which have applications in modeling oscillatory motion of droplets on surfaces and elastic bodies bouncing against rigid obstacles. In the case of droplets, the membrane surrounding the fluid forms a positive contact angle with the obstacle, leading to a second derivative that is only a measure at the contact free boundary. We will demonstrate how to derive the mathematical problem for various physical systems starting from the action functional, discuss the mathematical theory, and introduce methods for numerical solution.\u003cbr\u003e\u003cbr\u003eThe mathematical theory and numerical methods in this book depart from classical approaches by utilizing semi-discretization in time, enabling the application of the modern theory of calculus of variations. This approach facilitates the analysis and solution of hyperbolic free boundary problems with variational structure, offering insights into complex physical phenomena and their mathematical representation.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 174g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9789811967306\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2022\u003c\/p\u003e","brand":"Seiro Omata,Karel Svadlenka,Elliott Ginder","offers":[{"title":"Paperback \/ softback","offer_id":44515831152890,"sku":"9789811967306","price":41.64,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/1692376277519_book.jpg?v=1692885155","url":"https:\/\/shulphink.com\/products\/variational-approach-to-hyperbolic-free-boundary-problems-9789811967306","provider":"Shulph Ink","version":"1.0","type":"link"}