Homogenization of partial differential equations

Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients o...

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Bibliografiset tiedot
Päätekijät: Marchenko, Vladimir Aleksandrovich, 1922-2026, mathématicien, Khruslov, Evgueni Yakovlevich, 1937-...., mathématicien (Tekijä)
Muut tekijät: Goncharenko, Mariya, 19..- (Kääntäjä), Shepelsky, Dmitry, 19..- (Kääntäjä)
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Painos:1st ed. 2006.
Sarja:Progress in Mathematical Physics 46
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Huomautus: Description d'après consultation du 01 avril 2011
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Edition sous un autre format:• Homogenization of partial differential equations, Vladimir A. Marchenko, Evgueni Ya. Khruslov, Boston, Birkhäuser, 2006, 1 vol. (XII-398 p.), Progress in mathematical physics, 0-8176-4351-6
• Homogenization of Partial Differential Equations, Texte imprimé, 9780817671808
• Homogenization of partial differential equations, Vladimir A. Marchenko, Evgueni Ya. Khruslov, Boston, Birkhäuser, 2006, 1 vol. (XII-398 p.), Progress in mathematical physics, 0-8176-4351-6
Kuvaus
Yhteenveto:Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients or boundary value problems in domains with complex microstructure. From the technical point of view, given the complexity of these processes, the best techniques to solve a wide variety of problems involve constructing appropriate macroscopic (homogenized) models. The present monograph is a comprehensive study of homogenized problems, based on the asymptotic analysis of boundary value problems as the characteristic scales of the microstructure decrease to zero. The work focuses on the construction of nonstandard models: non-local models, multicomponent models, and models with memory. Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided. Graduate students, applied mathematicians, physicists, and engineers will benefit from this monograph, which may be used in the classroom or as a comprehensive reference text
Huomautukset:Description d'après consultation du 01 avril 2011
Archives Springer e-books (Licence nationale)
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Bibliografia:Bibliogr. p. [387]-395. Index
ISBN:9780817644680
ISSN:2197-1846
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