000			02186nam a22003015i 4500
001			91898
005			20231109144300.0
010			_a978-3-030-65372-9 _dcompra
090			_a91898
100			_a20231023d2021 k||y0pory50 ba
101			_aeng
102			_aCH
200			_aAsymptotic theory of dynamic boundary value problems in irregular domains _bDocumento eletrónico _fby Dmitrii Korikov, Boris Plamenevskii, Oleg Sarafanov
210			_aCham _cSpringer International Publishing _cBirkhäuser _d2021
215			_aXI, 399 p. _cil.
225			_aAdvances in Partial Differential Equations _v284
303			_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.
606			_aMathematical analysis
606			_aApproximation theory
680			_aQA299.6-433
700			_aKorikov _bDmitrii _970401
701			_aPlamenevskii _bBoris _4070 _970402
701			_aSarafanov _bOleg _4070 _970403
801			_aPT _gRPC
856			_uhttps://doi.org/10.1007/978-3-030-65372-9
942			_2lcc _cF _n0