{"product_id":"asymptotic-theory-of-dynamic-boundary-value-problems-in-irregular-domains-9783030653743","title":"Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains","description":"\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eThis book discusses dynamic boundary value problems in domains with singularities of two types: edges of various dimensions and singularly perturbed edges. It describes the asymptotics of solutions near these singularities and has applications in mathematical physics and engineering. \u003c\/blockquote\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 399 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 02 April 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Nature Switzerland AG\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eThis comprehensive book delves into the realm of dynamic boundary value problems, focusing on domains with singularities of two distinct types. The first type encompasses edges of varying dimensions on the boundary, including polygons, cones, lenses, polyhedra, and more. These domains are characterized by their intricate geometries. On the other hand, the second type consists of singularly perturbed edges, such as smoothed corners, edges, and small holes. These singularities introduce an additional level of complexity to the problem.\u003cbr\u003e\u003cbr\u003eA remarkable feature of these domains is that their behavior is influenced by a small parameter, which determines the transition from the limit domain to the perturbed one. As the parameter approaches zero, the boundary of the limit domain undergoes a smooth transformation, while the boundary of the perturbed domain exhibits singularities of the first type. This intricate interplay between the boundaries leads to fascinating phenomena such as the smoothing of conical points and the formation of small cavities near edges.\u003cbr\u003e\u003cbr\u003eWithin these domains, problems of elastodynamics, electromagnetism, and other dynamic problems are explored. The primary objective is to describe the asymptotic behavior of solutions near the singularities of the boundary. The presented results and methodologies have broad applications in mathematical physics and engineering, spanning various fields. This book is specifically designed for experts in mathematical physics, partial differential equations, and asymptotic methods, offering a deep understanding of the complexities involved in dynamic boundary value problems with singularities.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 629g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783030653743\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2021\u003c\/p\u003e","brand":"Dmitrii Korikov,Boris Plamenevskii,Oleg Sarafanov","offers":[{"title":"Paperback \/ softback","offer_id":44102821118202,"sku":"9783030653743","price":91.62,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/noImage_1_72ec7ec5-59f4-43b6-be4b-e32f6069e2f7.jpg?v=1668083965","url":"https:\/\/shulphink.com\/products\/asymptotic-theory-of-dynamic-boundary-value-problems-in-irregular-domains-9783030653743","provider":"Shulph Ink","version":"1.0","type":"link"}