Page de Garde On the existence, uniqueness and asymptotic behaviour of the solution of the non-linear kirchhoff model expanding domains.
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Date
2025
Journal Title
Journal ISSN
Volume Title
Publisher
UNIVERSITE MOULOUD MAMMERI DE TIZI-OUZOU
Abstract
In this thesis we study the global and decay solution for large size data of non-linear hyperbolic-parabolic equation of Kirchhoff type
u_tt+μu_t-M ̃(∫_(Ω_t)▒|∇u|^2 dx)Δu=0 in Ω_t
Where Ω_t={x∈ R^n:x=yσ(t),y∈Ω} with Ω being a bounded open domain in R^n, μ is a positive constant and σ(t) is a given suitable increasing positive function unbounded from above. The real function (M ) ̃is such that( M) ̃(ℷ)>0, M ̃(ℷ)≥0 for every ℷ ∈ [0,∞[
Description
69 f.;30 cm.
Keywords
Comportement asymptotique, Equation hyperbolique dégénérée
Citation
Equations aux Dérivées Partielles