Asymptotic analysis for a weakly damped wave equation with application to a problem arising in elasticity | Zendy

Gabriel Nguetseng | Zendy; Hubert Nnang | Zendy; Nils Svanstedt | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Asymptotic analysis for a weakly damped wave equation with application to a problem arising in elasticity

Author(s) -

Gabriel Nguetseng,

Hubert Nnang,

Nils Svanstedt

Publication year - 2010

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2010/291670

Subject(s) - homogenization (climate) , elasticity (physics) , mathematical analysis , mathematics , asymptotic homogenization , wave equation , damped wave , physics , finite element method , thermodynamics , biodiversity , ecology , biology

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research