LEADER 04545nam 2200709 450 001 9910462668603321 005 20211216014617.0 010 $a3-11-027043-9 024 7 $a10.1515/9783110270433 035 $a(CKB)2670000000432658 035 $a(EBL)1037918 035 $a(OCoLC)858761731 035 $a(SSID)ssj0001002217 035 $a(PQKBManifestationID)11534566 035 $a(PQKBTitleCode)TC0001002217 035 $a(PQKBWorkID)10997810 035 $a(PQKB)10400442 035 $a(MiAaPQ)EBC1037918 035 $a(DE-B1597)173928 035 $a(OCoLC)862247500 035 $a(DE-B1597)9783110270433 035 $a(Au-PeEL)EBL1037918 035 $a(CaPaEBR)ebr10786193 035 $a(CaONFJC)MIL807758 035 $a(EXLCZ)992670000000432658 100 $a20130922h20132013 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonconservative stability problems of modern physics /$fby Oleg N. Kirillov 210 1$aBerlin ;$aBoston :$cWalter de Gruyter GmbH & Co., KG,$d[2013] 210 4$dİ2013 215 $a1 online resource (448 p.) 225 0 $aDe Gruyter Studies in Mathematical Physics ;$v14 300 $aDescription based upon print version of record. 311 0 $a3-11-027034-X 320 $aIncludes bibliographies (pages [387]-422) and indexes. 327 $tFront matter --$tPreface --$tContents --$tChapter 1: Introduction --$tChapter 2: Lyapunov stability and linear stability analysis --$tChapter 3: Hamiltonian and gyroscopic systems --$tChapter 4: Reversible and circulatory systems --$tChapter 5: Influence of structure of forces on stability --$tChapter 6: Dissipation-induced instabilities --$tChapter 7: Nonself-adjoint boundary eigenvalue problems for differential operators and operator matrices dependent on parameters --$tChapter 8: The destabilization paradox in continuous circulatory systems --$tChapter 9: The MHD kinematic mean field ?2-dynamo --$tChapter 10: Campbell diagrams of gyroscopic continua and subcritical friction-induced flutter --$tChapter 11: Non-Hermitian perturbation of Hermitian matrices with physical applications --$tChapter 12: Magnetorotational instability --$tReferences --$tIndex 330 $aThis work gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics. It deals with both finite- and infinite-dimensional nonconservative systems and covers the fundamentals of the theory, including such topics as Lyapunov stability and linear stability analysis, Hamiltonian and gyroscopic systems, reversible and circulatory systems, influence of structure of forces on stability, and dissipation-induced instabilities, as well as concrete physical problems, including perturbative techniques for nonself-adjoint boundary eigenvalue problems, theory of the destabilization paradox due to small damping in continuous circulatory systems, Krein-space related perturbation theory for the MHD kinematic mean field ?²-dynamo, analysis of Campbell diagrams and friction-induced flutter in gyroscopic continua, non-Hermitian perturbation of Hermitian matrices with applications to optics, and magnetorotational instability and the Velikhov-Chandrasekhar paradox. The book serves present and prospective specialists providing the current state of knowledge in the actively developing field of nonconservative stability theory. Its understanding is vital for many areas of technology, ranging from such traditional ones as rotor dynamics, aeroelasticity and structural mechanics to modern problems of hydro- and magnetohydrodynamics and celestial mechanics. 410 3$aDe Gruyter Studies in Mathematical Physics 606 $aEigenvalues 606 $aMechanical impedance 606 $aOscillations 606 $aStability$xMathematical models 608 $aElectronic books. 615 0$aEigenvalues. 615 0$aMechanical impedance. 615 0$aOscillations. 615 0$aStability$xMathematical models. 676 $a530.4/74 676 $a530.474 686 $aSK 950$2rvk 700 $aKirillov$b Oleg N.$f1972-$0933374 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910462668603321 996 $aNonconservative stability problems of modern physics$92472054 997 $aUNINA