星球的光亮度
发表于 2025-3-28 15:40:45
Preliminaries,s and facts about functional spaces are presented in more detail, especially those concerning Sobolev spaces. Special attention is also paid to the notion of weak convergence which plays a key role in homogenization theory. Since the book deals with PDEs, the chapter contains a minimal background on
Confess
发表于 2025-3-28 19:17:13
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悬挂
发表于 2025-3-29 01:03:56
Brief History and Surprising Examples in Homogenization,d Lord Rayleigh in the 19th century. We proceed with discussion on modern homogenization theory which was born in the 1960s and is actively developing nowadays. We also describe some interesting and surprising results, such as the so-called strange term appearing in the homogenization of Dirichlet p
ORE
发表于 2025-3-29 04:23:51
Formal Two-Scale Asymptotic Expansions and the Corrector Problem,cs. The case study conductivity problem is used to illustrate the method of two-scale asymptotic expansions. This method, which is based on the idea of separation of slow and fast variables, proved to be extremely efficient not only in homogenization problems but also in the variety of other applica
intolerance
发表于 2025-3-29 09:56:28
Compensated Compactness and Oscillating Test Functions,ormal expansions can become rather cumbersome. This chapter is devoted to an alternative justification approach that is much simpler to implement. It is based on the use of specially chosen oscillating test functions in the weak formulation of the problem so that upon passing to the limit one obtain
contrast-medium
发表于 2025-3-29 14:12:28
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exostosis
发表于 2025-3-29 19:35:24
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