000			03142nam a22005415i 4500
001			978-3-319-01982-6
003			DE-He213
005			20150803155057.0
007			cr nn 008mamaa
008			131025s2014 gw | s |||| 0|eng d
020			_a9783319019826 _9978-3-319-01982-6
024	7		_a10.1007/978-3-319-01982-6 _2doi
050		4	_aT57-57.97
072		7	_aPBW _2bicssc
072		7	_aMAT003000 _2bisacsh
082	0	4	_a519 _223
100	1		_aBraides, Andrea. _eauthor.
245	1	0	_aLocal Minimization, Variational Evolution and Γ-Convergence _h[electronic resource] / _cby Andrea Braides.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014.
300			_aXI, 174 p. 42 illus. _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 ; _v2094
505	0		_aIntroduction -- Global minimization -- Parameterized motion driven by global minimization -- Local minimization as a selection criterion -- Convergence of local minimizers -- Small-scale stability -- Minimizing movements -- Minimizing movements along a sequence of functionals -- Geometric minimizing movements -- Different time scales -- Stability theorems -- Index.
520			_aThis book addresses new questions related to the asymptotic description of converging energies from the standpoint of local minimization and variational evolution. It explores the links between Gamma-limits, quasistatic evolution, gradient flows and stable points, raising new questions and proposing new techniques. These include the definition of effective energies that maintain the pattern of local minima, the introduction of notions of convergence of energies compatible with stable points, the computation of homogenized motions at critical time-scales through the definition of minimizing movement along a sequence of energies, the use of scaled energies to study long-term behavior or backward motion for variational evolutions. The notions explored in the book are linked to existing findings for gradient flows, energetic solutions and local minimizers, for which some generalizations are also proposed.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aFunctional analysis.
650		0	_aDifferential equations, partial.
650		0	_aMathematical optimization.
650	1	4	_aMathematics.
650	2	4	_aApplications of Mathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aCalculus of Variations and Optimal Control; Optimization.
650	2	4	_aApproximations and Expansions.
650	2	4	_aAnalysis.
650	2	4	_aFunctional Analysis.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319019819
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v2094
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-319-01982-6
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c6945 _d6945