{"product_id":"local-minimizers-of-singularly-perturbed-niko-tzoukmanis-9783832506506","title":"Local Minimizers of Singularly Perturbed Functionals with Nonlocal Term","description":"Variational problems involving nonlocal terms are of growing importance in the mathematical modeling of microstructures that occur in solid-solid phase transitions. For a model describing an austenite \/ twinned martensite interface, it is conjectured that the minimizers are highly oscillating near-periodic functions. The nonlocality, however, turns this problem into a very difficult one. In this book, a similar problem is considered. It is given by singularly perturbed functionals including a double-well potential and a quite general nonlocal term with bounded kernel. Using the concept of Gamma-convergence and the Modica-Mortola theorem, the existence of near-periodic local minimizers is shown.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Niko Tzoukmanis\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3832506500\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783832506506\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Logos Verlag Berlin\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/12\/2004\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 154\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback","brand":"Niko Tzoukmanis","offers":[{"title":"Paperback","offer_id":48450113667327,"sku":"9783832506506","price":61.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_11efa158-04c0-49cb-8d8f-4c39bcc30358.jpg?v=1777266273","url":"https:\/\/www.whiterainbookhouse.com\/products\/local-minimizers-of-singularly-perturbed-niko-tzoukmanis-9783832506506","provider":"WR Book House","version":"1.0","type":"link"}