{"product_id":"9783832506506","title":"Local Minimizers of Singularly Perturbed Functionals with Nonlocal Term","description":"\u003cp\u003eVariational 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.\u003c\/p\u003e","brand":"Logos Verlag","offers":[{"title":"Default Title","offer_id":47053200425200,"sku":"9783832506506","price":61.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9783832506506_p0.jpg?v=1763687056","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9783832506506","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}