LEADER 07359nam 2201873 a 450 001 9910778958303321 005 20200520144314.0 010 $a1-68015-903-8 010 $a1-283-43978-6 010 $a9786613439789 010 $a1-4008-4265-4 024 7 $a10.1515/9781400842650 035 $a(CKB)2550000000079229 035 $a(EBL)843816 035 $a(OCoLC)773567200 035 $a(SSID)ssj0000591824 035 $a(PQKBManifestationID)11379777 035 $a(PQKBTitleCode)TC0000591824 035 $a(PQKBWorkID)10729083 035 $a(PQKB)11724538 035 $a(MiAaPQ)EBC843816 035 $a(StDuBDS)EDZ0000406943 035 $a(DE-B1597)447055 035 $a(OCoLC)979624182 035 $a(DE-B1597)9781400842650 035 $a(Au-PeEL)EBL843816 035 $a(CaPaEBR)ebr10527176 035 $a(CaONFJC)MIL343978 035 $z(PPN)19924443X 035 $a(PPN)187959595 035 $a(EXLCZ)992550000000079229 100 $a20111020d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical analysis of deterministic and stochastic problems in complex media electromagnetics$b[electronic resource] /$fG.F. Roach, I.G. Stratis, A.N. Yannacopoulos 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$d2012 215 $a1 online resource (400 p.) 225 1 $aPrinceton series in applied mathematics 300 $aDescription based upon print version of record. 311 $a0-691-14217-3 320 $aIncludes bibliographical references and index. 327 $apt. 1. Modelling and mathematical preliminaries -- pt. 2. Time-harmonic deterministic problems -- pt. 3. Time-dependent deterministic problems -- pt. 4. Stochastic problems -- pt. 5. Appendices. 330 $aElectromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians. 410 0$aPrinceton series in applied mathematics. 606 $aElectromagnetism$xMathematics 606 $aStochastic control theory 606 $aMathematical analysis 610 $aAtkinson?ilcox expansion theorem. 610 $aBeltrami fields. 610 $aFaedo-Galerkin approach. 610 $aHerglotz wave functions. 610 $aHilbert Uniqueness method. 610 $aMaxwell equations. 610 $aMaxwell operator. 610 $aPDEs. 610 $aapplied mathematics. 610 $aauxiliary elliptic problems. 610 $aboundary controllability. 610 $aboundary integral equation. 610 $aboundary value problem. 610 $achiral material. 610 $achiral media. 610 $achirality. 610 $acompact embeddings. 610 $acomplex electromagnetic media. 610 $acomplex media. 610 $aconstitutive relations. 610 $acontrollability problem. 610 $acontrollability. 610 $adecompositions. 610 $adifferential equations. 610 $adispersive media. 610 $adyadics. 610 $aeigenvalue problems. 610 $aelectric flux density. 610 $aelectrical engineering. 610 $aelectromagnetic complex media. 610 $aelectromagnetic fields. 610 $aelectromagnetic media. 610 $aelectromagnetic wave scattering. 610 $aelectromagnetic waves. 610 $aelectromagnetics. 610 $aevolution family approach. 610 $aevolution operators. 610 $aevolution problems. 610 $aexterior problems. 610 $afinite-dimensional space. 610 $afixed point approach. 610 $afrequency. 610 $afunction spaces. 610 $ageneral scattering theorem. 610 $ageneralised integral transforms. 610 $ageometry. 610 $ahandedness. 610 $ahomogenisation problem. 610 $ahomogenisation. 610 $ahomogenised media. 610 $ahomogenised system. 610 $ainfinite Frchet differentiability. 610 $aintegrodifferential equations. 610 $aintegrodifferential evolution equation. 610 $ainterior domain problem. 610 $amagnetic flux density. 610 $amathematical modelling. 610 $amathematical theory. 610 $anonlinear PDEs. 610 $anonlinear model. 610 $anonlinear phenomena. 610 $anonlinear problems. 610 $anonlinearity. 610 $aoperators. 610 $aoptical theorem. 610 $apenetrable obstacle. 610 $aperfectly conducting obstacle. 610 $aperiodic media. 610 $aphysics. 610 $aplane electromagnetic waves. 610 $areciprocity principle. 610 $ascattering problems. 610 $ascattering process. 610 $ascattering theories. 610 $ascattering theory. 610 $asemigroup approach. 610 $asemigroup arguments. 610 $asemigroup-based approach. 610 $asolvability. 610 $aspaces. 610 $aspectral theory. 610 $astandard differential. 610 $astochastic integrodifferential equations. 610 $atime domain. 610 $atime-harmonic electromagnetic wave. 610 $atime-harmonic problems. 610 $atime. 610 $atrace operators. 610 $atwo-scale expansion. 610 $avariational formulation. 610 $avector analysis. 610 $awave motions. 610 $awave operators. 610 $awell posedness. 615 0$aElectromagnetism$xMathematics. 615 0$aStochastic control theory. 615 0$aMathematical analysis. 676 $a537.01/519 700 $aRoach$b G. F$g(Gary Francis)$013774 701 $aStratis$b I. G$g(Ioannis G.),$f1955-$01511766 701 $aYannacopoulos$b A. N$g(Athanasios N.),$f1968-$01511767 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910778958303321 996 $aMathematical analysis of deterministic and stochastic problems in complex media electromagnetics$93745293 997 $aUNINA