000			02973nam a22004935i 4500
001			978-1-4614-0502-3
003			DE-He213
005			20140220083239.0
007			cr nn 008mamaa
008			111111s2012 xxu| s |||| 0|eng d
020			_a9781461405023 _9978-1-4614-0502-3
024	7		_a10.1007/978-1-4614-0502-3 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aKielhöfer, Hansjörg. _eauthor.
245	1	0	_aBifurcation Theory _h[electronic resource] : _bAn Introduction with Applications to Partial Differential Equations / _cby Hansjörg Kielhöfer.
264		1	_aNew York, NY : _bSpringer New York, _c2012.
300			_aVIII, 400 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aApplied Mathematical Sciences, _x0066-5452 ; _v156
505	0		_aIntroduction -- Global Theory -- Applications.
520			_aIn the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations.   The second edition is substantially and formally revised and new material is added. Among this is bifurcation with a two-dimensional kernel with applications, the buckling of the Euler rod, the appearance of Taylor vortices, the singular limit process of the Cahn-Hilliard model, and an application of this method to more complicated nonconvex variational problems.
650		0	_aMathematics.
650		0	_aDifferentiable dynamical systems.
650		0	_aDifferential equations, partial.
650		0	_aMechanics, applied.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aApplications of Mathematics.
650	2	4	_aTheoretical and Applied Mechanics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461405016
830		0	_aApplied Mathematical Sciences, _x0066-5452 ; _v156
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-0502-3
912			_aZDB-2-SMA
999			_c100866 _d100866