000 03662nam a22005535i 4500
001 978-3-319-01982-6
003 DE-He213
005 20190213151457.0
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
072 7 _aPBW
_2thema
082 0 4 _a519
_223
100 1 _aBraides, Andrea.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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 _aDifferential equations, partial.
650 0 _aMathematical optimization.
650 0 _aGlobal analysis (Mathematics).
650 0 _aFunctional analysis.
650 1 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
_0http://scigraph.springernature.com/things/product-market-codes/M26016
650 2 4 _aApproximations and Expansions.
_0http://scigraph.springernature.com/things/product-market-codes/M12023
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aFunctional Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12066
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319019819
776 0 8 _iPrinted edition:
_z9783319019833
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2094
856 4 0 _uhttps://doi.org/10.1007/978-3-319-01982-6
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10812
_d10812