Parabolic homogenization
WebMar 31, 2024 · Homogenization; Time-periodic unfolding; ... Parabolic problems; Download conference paper PDF 1 Introduction. We investigate the heat conduction properties of a composite material made of a hosting medium in which a periodic array of finely mixed perfect heat conductors is inserted. From a practical point of view, it is sufficient to … WebThis paper addresses the issue of the homogenization of linear divergence form parabolic operators in situations where no ergodicity and no scale separation in time or space are …
Parabolic homogenization
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WebThese results are especially useful for the homogenization of partial differential equations with periodically oscillating coefficients. In particular, a new method for proving the convergence of homogenization processes is proposed, which is an alternative to the so-called energy method of Tartar. WebApr 1, 2024 · This paper is concerned with quantitative homogenization of second-order parabolic systems with periodic coefficients varying rapidly in space and time, in non-self …
WebApr 12, 2024 · 报告 5: Asymptotic expansion of fundamental solutions for parabolic operators with non-self-similar scales 报告人 ：钮维生 安徽大学 报告摘要 ： This talk is devoted to quantitative homogenization of fundamental solutions for second-order parabolic systems with rapidly oscillating periodic coefficients involving non-self ... WebAbstract. We consider the convergence rate in periodic homogenization of higher order parabolic systems with time-dependent coefficients. The sharp O(ε) O ( ε) -order scaling invariant convergence rate in the space L2(0,T;W m−1,p0(Ω)) L 2 ( 0, T; W m − 1, p 0 ( Ω)), p0 = 2d d−1 p 0 = 2 d d − 1, is derived by the duality argument.
WebWeak convergence approach for parabolic equations with large, highly oscillatory, random potential. Y Gu, G Bal. 15. 2016. The random heat equation in dimensions three and higher: the homogenization viewpoint. A Dunlap, Y Gu, L Ryzhik, O Zeitouni. Archive for Rational Mechanics and Analysis 242 (2), 827-873.
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WebNov 29, 2024 · Asymptotic Expansions of Fundamental Solutions in Parabolic Homogenization. For a family of second-order parabolic systems with rapidly oscillating … house cleaner stittsvilleWebMay 26, 2024 · We investigate quantitative estimates in periodic homogenization of second-order elliptic systems of elasticity with singular fourth-order perturbations. The convergence rates, which depend on the scale $κ$ that represents the strength of the singular perturbation and on the length scale $ε$ of the heterogeneities, are established. We also … house cleaner seattleWebSep 23, 2024 · Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters. We study the heat kernel and the Green's function on the infinite … house cleaner titleWebOct 29, 2024 · Homogenization results for a class of parabolic equations with a non-local interface condition via time-periodic unfolding 10.1007/s00030-019-0592-4 Authors: Micol Amar Sapienza University of... house cleaners adelaide western suburbsWebAug 6, 2014 · The methodology is presented for a class of PDEs with multiple scales, including elliptic, parabolic, wave and nonlinear problems. Numerical examples, including wave propagation in inhomogeneous media and solute transport in unsaturated porous media, illustrate the proposed method. 1. Introduction house cleaner traralgonWebThis paper is concerned with quantitative homogenization of second-order parabolic systems with periodic coefficients varying rapidly in space and time, in non-self-similar scales. The homogenization problem involves two oscillating scales. We obtain large-scale interior and boundary Lipschitz estimates as well as interior C^ {1, \alpha } and C ... house cleaner weatherfordWebMarch 2024 Quantitative homogenization of the parabolic and elliptic Green’s functions on percolation clusters Paul Dario , Chenlin Gu Author Affiliations + Ann. Probab. 49 (2): 556 … house cleaners blanefield