LEADER 03209nam 2200661 450 001 996466593203316 005 20220211062549.0 010 $a3-540-48678-X 024 7 $a10.1007/BFb0073393 035 $a(CKB)1000000000437184 035 $a(SSID)ssj0000325634 035 $a(PQKBManifestationID)12069140 035 $a(PQKBTitleCode)TC0000325634 035 $a(PQKBWorkID)10324556 035 $a(PQKB)10544800 035 $a(DE-He213)978-3-540-48678-7 035 $a(MiAaPQ)EBC5578418 035 $a(Au-PeEL)EBL5578418 035 $a(OCoLC)1066177327 035 $a(MiAaPQ)EBC6866815 035 $a(Au-PeEL)EBL6866815 035 $a(PPN)155235133 035 $a(EXLCZ)991000000000437184 100 $a20220211d1994 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aPhase transitions and hysteresis $electures given at the 3rd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 13-21, 1993 /$fM. Brokate [and four others] 205 $a1st ed. 1994. 210 1$aBerlin, Heidelberg :$cSpringer-Verlag,$d[1994] 210 4$dİ1994 215 $a1 online resource (VIII, 296 p.) 225 1 $aLecture Notes in Mathematics ;$v1584 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-58386-6 327 $aHysteresis operators -- Systems of nonlinear PDEs arising from dynamical phase transitions -- Quasiplasticity and pseudoelasticity in shape memory alloys -- Variational methods in the stefan problem -- Numerical aspects of parabolic free boundary and hysteresis problems. 330 $a1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques. 2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate. 3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1584. 606 $aDifferential equations, Parabolic 606 $aBoundary value problems 606 $aPhase transformations (Statistical physics) 615 0$aDifferential equations, Parabolic. 615 0$aBoundary value problems. 615 0$aPhase transformations (Statistical physics) 676 $a515.353 700 $aBrokate$b Martin$f1953-$027707 701 $aBrokate$b Martin$f1953-$027707 701 $aVisintin$b A$g(Augusto)$01187957 712 02$aCentro internazionale matematico estivo. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466593203316 996 $aPhase transitions and hysteresis$92860605 997 $aUNISA