LEADER 02722nam 22004335a 450 001 9910151933603321 005 20091109150325.0 010 $a3-03719-568-1 024 70$a10.4171/068 035 $a(CKB)3710000000953839 035 $a(CH-001817-3)93-091109 035 $a(PPN)178155578 035 $a(EXLCZ)993710000000953839 100 $a20091109j20090110 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aThe Formation of Black Holes in General Relativity$b[electronic resource] /$fDemetrios Christodoulou 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2009 215 $a1 online resource (599 pages) 225 0 $aEMS Monographs in Mathematics (EMM) ;$x2523-5192 330 $aIn 1965 Penrose introduced the fundamental concept of a trapped surface, on the basis of which he proved a theorem which asserts that a spacetime containing such a surface must come to an end. The presence of a trapped surface implies, moreover, that there is a region of spacetime, the black hole, which is inaccessible to observation from infinity. A major challenge since that time has been to find out how trapped surfaces actually form, by analyzing the dynamics of gravitational collapse. The present monograph achieves this aim by establishing the formation of trapped surfaces in pure general relativity through the focusing of gravitational waves. The theorems proved in the present monograph constitute the first foray into the long-time dynamics of general relativity in the large, that is, when the initial data are no longer confined to a suitable neighborhood of trivial data. The main new method, the short pulse method, applies to general systems of Euler-Lagrange equations of hyperbolic type, and provides the means to tackle problems which have hitherto seemed unapproachable. This monograph will be of interest to people working in general relativity, geometric analysis, and partial differential equations. 606 $aGeneral relativity$2bicssc 606 $aRelativity and gravitational theory$2msc 606 $aPartial differential equations$2msc 606 $aGlobal analysis, analysis on manifolds$2msc 615 07$aGeneral relativity 615 07$aRelativity and gravitational theory 615 07$aPartial differential equations 615 07$aGlobal analysis, analysis on manifolds 686 $a83-xx$a35-xx$a58-xx$2msc 700 $aChristodoulou$b Demetrios$0320209 801 0$bch0018173 906 $aBOOK 912 $a9910151933603321 996 $aThe Formation of Black Holes in General Relativity$92565447 997 $aUNINA LEADER 01796oam 2200469zu 450 001 9910872429203321 005 20241212215313.0 035 $a(CKB)1000000000022234 035 $a(SSID)ssj0000395097 035 $a(PQKBManifestationID)12155829 035 $a(PQKBTitleCode)TC0000395097 035 $a(PQKBWorkID)10425727 035 $a(PQKB)10131694 035 $a(EXLCZ)991000000000022234 100 $a20160829d2004 uy 101 0 $aeng 181 $ctxt 182 $cc 183 $acr 200 10$a2004 IEEE International Symposium on Industrial Electronics : proceedings of the IEEE-ISIE 2004 : May 4-7, 2004, Palais des Congrès & Expositions, Ajaccio - France 210 31$a[Place of publication not identified]$cIEEE$d2004 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9780780383043 311 08$a0780383044 606 $aIndustrial electronics$xAutomation$vCongresses 606 $aManufacturing processes$vCongresses 606 $aElectrical & Computer Engineering$2HILCC 606 $aElectrical Engineering$2HILCC 606 $aEngineering & Applied Sciences$2HILCC 615 0$aIndustrial electronics$xAutomation 615 0$aManufacturing processes 615 7$aElectrical & Computer Engineering 615 7$aElectrical Engineering 615 7$aEngineering & Applied Sciences 676 $a670.42 712 02$aInstitute of Electrical and Electronics Engineers 712 12$aIEEE International Symposium on Industrial Electronics 801 0$bPQKB 906 $aPROCEEDING 912 $a9910872429203321 996 $a2004 IEEE International Symposium on Industrial Electronics : proceedings of the IEEE-ISIE 2004 : May 4-7, 2004, Palais des Congrès & Expositions, Ajaccio - France$92527331 997 $aUNINA LEADER 03367nam 22006255 450 001 9910337871003321 005 20251202141029.0 010 $a3-030-17115-9 024 7 $a10.1007/978-3-030-17115-5 035 $a(CKB)4100000008048155 035 $a(MiAaPQ)EBC5771201 035 $a(DE-He213)978-3-030-17115-5 035 $a(PPN)235669059 035 $a(EXLCZ)994100000008048155 100 $a20190430d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSurface Electron Cyclotron Waves in Plasmas /$fby Volodymyr Girka, Igor Girka, Manfred Thumm 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (206 pages) 225 1 $aSpringer Series on Atomic, Optical, and Plasma Physics,$x2197-6791 ;$v107 311 08$a3-030-17114-0 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Methods of Solving the Kinetic Vlasov-Boltzmann Equation in Case of Bounded Magnetized Plasmas -- Surface Electron Cyclotron TM ? ?ode Waves -- Surface Electron Cyclotron X-?ode Waves -- Surface Electron Cyclotron O-?ode Waves. 330 $aThis book is the first of its kind devoted to surface waves propagating across an external static magnetic field at harmonics of the electron cyclotron frequency. Based on comprehensive theoretical studies carried out over the course of about forty years, it presents unique material on various characteristics of these transverse waves, namely, dispersion properties and their dependence on numerous design peculiarities of plasma waveguides; damping due to interaction with the plasma surface (the kinetic channel) and collisions between plasma particles (the Ohmic channel); interaction with flows of charged particles moving above the plasma surface; parametric excitation due to the effect of an external radiofrequency field; and their power transfer for sustaining gas discharges. Clarifying numerous complicated mathematical issues it is a valuable resource for postgraduate students and experts in plasma physics, electromagnetic waves, and the kinetic theory of plasmas. 410 0$aSpringer Series on Atomic, Optical, and Plasma Physics,$x2197-6791 ;$v107 606 $aPlasma (Ionized gases) 606 $aElectrodynamics 606 $aParticle accelerators 606 $aPhysics 606 $aPlasma Physics 606 $aClassical Electrodynamics 606 $aAccelerator Physics 606 $aApplied and Technical Physics 615 0$aPlasma (Ionized gases). 615 0$aElectrodynamics. 615 0$aParticle accelerators. 615 0$aPhysics. 615 14$aPlasma Physics. 615 24$aClassical Electrodynamics. 615 24$aAccelerator Physics. 615 24$aApplied and Technical Physics. 676 $a539.733 676 $a539.733 700 $aGirka$b Volodymyr$4aut$4http://id.loc.gov/vocabulary/relators/aut$0791378 702 $aGirka$b Igor$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aThumm$b Manfred$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910337871003321 996 $aSurface Electron Cyclotron Waves in Plasmas$92529923 997 $aUNINA