000 | 03196nam a22004695i 4500 | ||
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001 | 978-3-540-46441-9 | ||
003 | DE-He213 | ||
005 | 20190213151619.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1991 gw | s |||| 0|eng d | ||
020 |
_a9783540464419 _9978-3-540-46441-9 |
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024 | 7 |
_a10.1007/BFb0097544 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aMielke, Alexander. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aHamiltonian and Lagrangian Flows on Center Manifolds _h[electronic resource] : _bwith Applications to Elliptic Variational Problems / _cby Alexander Mielke. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1991. |
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300 |
_aX, 140 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1489 |
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505 | 0 | _aNotations and basic facts on center manifolds -- The linear theory -- Hamiltonian flows on center manifolds -- Hamiltonian systems with symmetries -- Lagrangian systems -- Nonautonomous systems -- Elliptic variational problems on cylindrical domains -- Capillarity surface waves -- Necking of strips -- Saint-Venant's problem. | |
520 | _aThe theory of center manifold reduction is studied in this monograph in the context of (infinite-dimensional) Hamil- tonian and Lagrangian systems. The aim is to establish a "natural reduction method" for Lagrangian systems to their center manifolds. Nonautonomous problems are considered as well assystems invariant under the action of a Lie group ( including the case of relative equilibria). The theory is applied to elliptic variational problemson cylindrical domains. As a result, all bounded solutions bifurcating from a trivial state can be described by a reduced finite-dimensional variational problem of Lagrangian type. This provides a rigorous justification of rod theory from fully nonlinear three-dimensional elasticity. The book will be of interest to researchers working in classical mechanics, dynamical systems, elliptic variational problems, and continuum mechanics. It begins with the elements of Hamiltonian theory and center manifold reduction in order to make the methods accessible to non-specialists, from graduate student level. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540547105 |
776 | 0 | 8 |
_iPrinted edition: _z9783662186572 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1489 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0097544 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
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_c11282 _d11282 |