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003 MX-SnUAN
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008 150903s2013 gw | o |||| 0|eng d
020 _a9783319008288
_99783319008288
024 7 _a10.1007/9783319008288
_2doi
035 _avtls000345781
039 9 _a201509030908
_bVLOAD
_c201405050325
_dVLOAD
_y201402061344
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA273.A1-274.9
100 1 _aDebussche, Arnaud.
_eautor
_9323771
245 1 4 _aThe Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise /
_cby Arnaud Debussche, Michael Högele, Peter Imkeller.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2013.
300 _axiv, 165 páginas 9 ilustraciones, 8 ilustraciones en color.
_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 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2085
500 _aSpringer eBooks
505 0 _aIntroduction -- The fine dynamics of the Chafee- Infante equation -- The stochastic Chafee- Infante equation -- The small deviation of the small noise solution -- Asymptotic exit times -- Asymptotic transition times -- Localization and metastability -- The source of stochastic models in conceptual climate dynamics.
520 _aThis work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aHögele, Michael.
_eautor
_9323772
700 1 _aImkeller, Peter.
_eautor
_9323773
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783319008271
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-319-00828-8
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c292179
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