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001 978-0-387-87683-2
003 DE-He213
005 20181204133149.0
007 cr nn 008mamaa
008 100301s2009 xxu| s |||| 0|eng d
020 _a9780387876832
_9978-0-387-87683-2
024 7 _a10.1007/978-0-387-87683-2
_2doi
040 _aISI Library, Kolkata
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
072 7 _aPBT
_2thema
072 7 _aPBWL
_2thema
082 0 4 _a519.2
_223
100 1 _aXin, Jack.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 3 _aAn Introduction to Fronts in Random Media
_h[electronic resource] /
_cby Jack Xin.
264 1 _aNew York, NY :
_bSpringer New York,
_c2009.
300 _aX, 162 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSurveys and Tutorials in the Applied Mathematical Sciences,
_x2199-4765 ;
_v5
505 0 _aFronts in Homogeneous Media -- Fronts in Periodic Media -- Fronts in Random Burgers Equations -- Fronts and Stochastic Homogenization of Hamilton#x2013;Jacobi Equations -- KPP Fronts in Random Media.
520 _aThis book gives a user friendly tutorial to Fronts in Random Media, an interdisciplinary research topic, to senior undergraduates and graduate students in the mathematical sciences, physical sciences and engineering. Fronts or interface motion occur in a wide range of scientific areas where the physical and chemical laws are expressed in terms of differential equations. Heterogeneities are always present in natural environments: fluid convection in combustion, porous structures, noise effects in material manufacturing to name a few. Stochastic models hence become natural due to the often lack of complete data in applications. The transition from seeking deterministic solutions to stochastic solutions is both a conceptual change of thinking and a technical change of tools. The book explains ideas and results systematically in a motivating manner. It covers multi-scale and random fronts in three fundamental equations (Burgers, Hamilton-Jacobi, and reaction-diffusion-advection equations) and explores their connections and mechanical analogies. It discusses representation formulas, Laplace methods, homogenization, ergodic theory, central limit theorems, large-deviation principles, variational and maximum principles. It shows how to combine these tools to solve concrete problems. Students and researchers will find the step by step approach and the open problems in the book particularly useful. .
650 0 _aDistribution (Probability theory.
650 0 _aDifferential equations, partial.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387877273
776 0 8 _iPrinted edition:
_z9780387876825
830 0 _aSurveys and Tutorials in the Applied Mathematical Sciences,
_x2199-4765 ;
_v5
856 4 0 _uhttps://doi.org/10.1007/978-0-387-87683-2
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c426314
_d426314