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008 150903s2010 xxu| o |||| 0|eng d
020 _a9780387877129
_99780387877129
024 7 _a10.1007/9780387877129
_2doi
035 _avtls000333188
039 9 _a201509030214
_bVLOAD
_c201404130000
_dVLOAD
_c201404092140
_dVLOAD
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA370-380
100 1 _aChueshov, Igor.
_eautor
_9307849
245 1 0 _aVon Karman Evolution Equations :
_bWell-posedness and Long Time Dynamics /
_cby Igor Chueshov, Irena Lasiecka.
264 1 _aNew York, NY :
_bSpringer New York,
_c2010.
300 _axiv, 778 páginas 10 ilustraciones
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aSpringer Monographs in Mathematics,
_x1439-7382
500 _aSpringer eBooks
505 0 _aWell-Posedness -- Preliminaries -- Evolutionary Equations -- Von Karman Models with Rotational Forces -- Von Karman Equations Without Rotational Inertia -- Thermoelastic Plates -- Structural Acoustic Problems and Plates in a Potential Flow of Gas -- Long-Time Dynamics -- Attractors for Evolutionary Equations -- Long-Time Behavior of Second-Order Abstract Equations -- Plates with Internal Damping -- Plates with Boundary Damping -- Thermoelasticity -- Composite Wave–Plate Systems -- Inertial Manifolds for von Karman Plate Equations.
520 _aThe main goal of this book is to discuss and present results on well-posedness, regularity and long-time behavior of non-linear dynamic plate (shell) models described by von Karman evolutions. While many of the results presented here are the outgrowth of very recent studies by the authors, including a number of new original results here in print for the first time authors have provided a comprehensive and reasonably self-contained exposition of the general topic outlined above. This includes supplying all the functional analytic framework along with the function space theory as pertinent in the study of nonlinear plate models and more generally second order in time abstract evolution equations. While von Karman evolutions are the object under considerations, the methods developed transcendent this specific model and may be applied to many other equations, systems which exhibit similar hyperbolic or ultra-hyperbolic behavior (e.g. Berger's plate equations, Mindlin-Timoschenko systems, Kirchhoff-Boussinesq equations etc). In order to achieve a reasonable level of generality, the theoretical tools presented in the book are fairly abstract and tuned to general classes of second-order (in time) evolution equations, which are defined on abstract Banach spaces. The mathematical machinery needed to establish well-posedness of these dynamical systems, their regularity and long-time behavior is developed at the abstract level, where the needed hypotheses are axiomatized. This approach allows to look at von Karman evolutions as just one of the examples of a much broader class of evolutions. The generality of the approach and techniques developed are applicable (as shown in the book) to many other dynamics sharing certain rather general properties. Extensive background material provided in the monograph and self-contained presentation make this book suitable as a graduate textbook.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aLasiecka, Irena.
_eautor
_9307850
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780387877112
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-87712-9
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c281805
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