001435631 000__ 03694cam\a2200541\a\4500
001435631 001__ 1435631
001435631 003__ OCoLC
001435631 005__ 20230309003945.0
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001435631 019__ $$a1244805390
001435631 020__ $$a9783030653729$$q(electronic bk.)
001435631 020__ $$a3030653722$$q(electronic bk.)
001435631 020__ $$z9783030653712
001435631 020__ $$z3030653714
001435631 0247_ $$a10.1007/978-3-030-65372-9$$2doi
001435631 035__ $$aSP(OCoLC)1245667346
001435631 040__ $$aEBLCP$$beng$$epn$$cEBLCP$$dGW5XE$$dYDX$$dOCLCO$$dOCLCF$$dOCLCQ$$dOCLCO$$dWAU$$dOCLCQ
001435631 049__ $$aISEA
001435631 050_4 $$aQA379
001435631 08204 $$a515/.35$$223
001435631 1001_ $$aKorikov, Dmitrii.
001435631 24510 $$aAsymptotic theory of dynamic boundary value problems in irregular domains /$$cDmitrii Korikov, Boris Plamenevskii, Oleg Sarafanov.
001435631 260__ $$aCham :$$bBirkhäuser,$$c2021.
001435631 300__ $$a1 online resource (xi, 399 pages)
001435631 336__ $$atext$$btxt$$2rdacontent
001435631 337__ $$acomputer$$bc$$2rdamedia
001435631 338__ $$aonline resource$$bcr$$2rdacarrier
001435631 4901_ $$aOperator Theory, Advances and Applications ;$$vv. 284
001435631 504__ $$aIncludes bibliographical references.
001435631 5050_ $$aIntroduction -- Wave equation in domains with edges -- Hyperbolic systems in domains with conical points -- Elastodynamics in domains with edges -- On dynamic Maxwell System in domains with edges -- Schroedinger and Germain-Lagrange equations in a domain with corners -- Asymptotics of solutions to wave equation in singularity perturbed domains -- Asymptotics of solutions to non-stationary Maxwell System in a domain with small cavities.
001435631 506__ $$aAccess limited to authorized users.
001435631 520__ $$aThis book considers dynamic boundary value problems in domains with singularities of two types. The first type consists of "edges" of various dimensions on the boundary; in particular, polygons, cones, lenses, polyhedra are domains of this type. Singularities of the second type are "singularly perturbed edges" such as smoothed corners and edges and small holes. A domain with singularities of such type depends on a small parameter, whereas the boundary of the limit domain (as the parameter tends to zero) has usual edges, i.e. singularities of the first type. In the transition from the limit domain to the perturbed one, the boundary near a conical point or an edge becomes smooth, isolated singular points become small cavities, and so on. In an "irregular" domain with such singularities, problems of elastodynamics, electrodynamics and some other dynamic problems are discussed. The purpose is to describe the asymptotics of solutions near singularities of the boundary. The presented results and methods have a wide range of applications in mathematical physics and engineering. The book is addressed to specialists in mathematical physics, partial differential equations, and asymptotic methods.
001435631 588__ $$aDescription based on print version record.
001435631 650_0 $$aBoundary value problems$$xAsymptotic theory.
001435631 650_6 $$aProblèmes aux limites$$xThéorie asymptotique.
001435631 655_0 $$aElectronic books.
001435631 7001_ $$aPlamenevskiĭ, B. A.
001435631 7001_ $$aSarafanov, Oleg.
001435631 77608 $$iPrint version:$$aKorikov, Dmitrii.$$tAsymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains.$$dCham : Springer International Publishing AG, ©2021$$z9783030653712
001435631 830_0 $$aOperator theory, advances and applications ;$$vv. 284.
001435631 852__ $$bebk
001435631 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-65372-9$$zOnline Access$$91397441.1
001435631 909CO $$ooai:library.usi.edu:1435631$$pGLOBAL_SET
001435631 980__ $$aBIB
001435631 980__ $$aEBOOK
001435631 982__ $$aEbook
001435631 983__ $$aOnline
001435631 994__ $$a92$$bISE