{"product_id":"linear-and-nonlinear-aspects-of-vortices-the-ginzburg-andau-model-9780817641337","title":"Linear and Nonlinear Aspects of Vortices: The Ginzburg-Andau Model","description":"\u003cp\u003eEquations of the Ginzburg-Landau vortices have particular applications to a number of problems in physics, including phase transition phenomena in superconductors, superfluids, and liquid crystals. Building on the results presented by Bethuel, Brazis, and Helein, this current work further analyzes Ginzburg-Landau vortices with a particular emphasis on the uniqueness question. \u003c\/p\u003e\u003cp\u003eThe authors begin with a general presentation of the theory and then proceed to study problems using weighted Hölder spaces and Sobolev Spaces. These are particularly powerful tools and help us obtain a deeper understanding of the nonlinear partial differential equations associated with Ginzburg-Landau vortices. Such an approach sheds new light on the links between the geometry of vortices and the number of solutions. \u003c\/p\u003e\u003cp\u003eAimed at mathematicians, physicists, engineers, and grad students, this monograph will be useful in a number of contexts in the nonlinear analysis of problems arising in geometry or mathematical physics. The material presented covers recent and original results by the authors, and will serve as an excellent classroom text or a valuable self-study resource.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Frank Pacard,Tristan Riviere\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/22\/2000\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 342\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.45lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.38h x 6.40w x 0.84d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780817641337","brand":"Birkhauser","offers":[{"title":"Hardcover","offer_id":44319567937651,"sku":"9780817641337","price":164.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/files\/img_ee8aa4f5-3b9c-47ea-99c2-f2875c9876da.jpg?v=1771420880","url":"https:\/\/bookstorenmore.com\/en-de\/products\/linear-and-nonlinear-aspects-of-vortices-the-ginzburg-andau-model-9780817641337","provider":"Bookstore N More","version":"1.0","type":"link"}