000			03315nam a22006255i 4500
001			978-3-540-48678-7
003			DE-He213
005			20160624101830.0
007			cr nn 008mamaa
008			121227s1994 gw | s |||| 0|eng d
020			_a9783540486787 _9978-3-540-48678-7
024	7		_a10.1007/BFb0073393 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aBrokate, M. _eauthor.
245	1	0	_aPhase Transitions and Hysteresis _h[electronic resource] : _bLectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 13–21, 1993 / _cby M. Brokate, Yong Zhong Huo, Noboyuki Kenmochi, Ingo Müller, José F. Rodriguez, Claudio Verdi ; edited by Augusto Visintin.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1994.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1994.
300			_aVIII, 296 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1584
505	0		_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.
520			_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.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aNumerical analysis.
650		0	_aMathematical physics.
650		0	_aMechanics.
650		0	_aMechanics, applied.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aMathematical and Computational Physics.
650	2	4	_aNumerical Analysis.
650	2	4	_aMechanics.
650	2	4	_aTheoretical and Applied Mechanics.
700	1		_aHuo, Yong Zhong. _eauthor.
700	1		_aKenmochi, Noboyuki. _eauthor.
700	1		_aMüller, Ingo. _eauthor.
700	1		_aRodriguez, José F. _eauthor.
700	1		_aVerdi, Claudio. _eauthor.
700	1		_aVisintin, Augusto. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540583868
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1584
856	4	0	_uhttp://dx.doi.org/10.1007/BFb0073393
942			_2EBK1718 _cEBK
999			_c31012 _d31012