Averaging of equations of viscoelasticity with singularly oscillating external forces

Vladimir V. Chepyzhov; Monica Conti; Vittorino Pata

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Averaging of equations of viscoelasticity with singularly oscillating external forces

机译：粘弹性方程的平均偏振的外力

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Abstract

Givenρ∈[0,1], we consider forε∈(0,1]the nonautonomous viscoelastic equation with a singularly oscillating external force?ttu?κ(0)Δu?∫0∞κ′(s)Δu(t?s)ds+

机译：<！[cdata [ Abstract

给定 ρ ∈ [< / mml：mo> 0 ， 1 ] ，我们考虑 ε ∈ （ 0 ， 1 ] < / MML：MO> 非自治粘弹性方程，具有奇异振荡的外力 < MML：MO>？ T T U ？ κ （ 0 ） Δ m ？ ∫ 0 ∞ κ / mml：mi> '' （ s ） Δ u （ t ？ s ） d S +

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来源
《Journal de Mathematiques Pures et Appliquees》 |2017年第6期|共28页
作者
Vladimir V. Chepyzhov; Monica Conti; Vittorino Pata;
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作者单位

Institute for Information Transmission Problems RAS;

Politecnico di Milano Dipartimento di Matematica;

Politecnico di Milano Dipartimento di Matematica;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Equations of viscoelasticity; Singularly oscillating external forces; Dynamical process; Uniform global attractors;

机译：粘弹性方程;奇异振荡的外力;动态过程;均匀的全球吸引子;

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1. Averaging of equations of viscoelasticity with singularly oscillating external forces [J] . Vladimir V. Chepyzhov, Monica Conti, Vittorino Pata Journal de Mathematiques Pures et Appliquees . 2017,第6期

机译：粘弹性方程的平均偏振的外力
2. Time Averaging of Global Attractors for Nonautonomous Wave Equations with Singularly Oscillating External Forces [J] . M. I. Vishik, V. Pata, V. V. Chepyzhov Doklady. Mathematics . 2008,第2期

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7. Averaging of equations of viscoelasticity with singularly oscillating external forces [O] . Chepyzhov, Vladimir V., Conti, Monica, Pata, Vittorino 2016

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8. Averaging Principle and Systems of Singularly Perturbed Stochastic DifferentialEquations [R] . Golec, J., Ladde, G. 1990

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Averaging of equations of viscoelasticity with singularly oscillating external forces

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