Asymptotic analysis for a weakly damped wave equation with application to a problem arising in elasticity
The present work is devoted to the study of homogenization of the weakly damped wave equation ∫Ωρε∂2uε∂t2(t)⋅υdx+2ε2μ∫ΩfεEij(∂uε∂t(t))Eij(υ)dx+ε2λ∫Ωfεdiv(∂uε∂t(t))div υdx+ϑ∫Ωfεdiv(uε(t))divυdx=∫Ωf(t)⋅υdx for all υ=(υ1,υ2,υ3)∈Vε(0<t<T), with initial conditions uε(0)=∂uε∂t(0)=ω (the origin in ℝ...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/291670 |
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