A 3D‐2D asymptotic analysis of viscoelastic problem with nonlinear dissipative and source terms | Zendy

Dilmi Mohamed | Zendy; Dilmi Mourad | Zendy; Benseridi Hamid | Zendy

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A 3D‐2D asymptotic analysis of viscoelastic problem with nonlinear dissipative and source terms

Author(s) -

Dilmi Mohamed,

Dilmi Mourad,

Benseridi Hamid

Publication year - 2019

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.5755

Subject(s) - mathematics , dissipative system , uniqueness , viscoelasticity , mathematical analysis , limit (mathematics) , asymptotic analysis , nonlinear system , domain (mathematical analysis) , uniqueness theorem for poisson's equation , physics , quantum mechanics , thermodynamics

The purpose of this article is to study the asymptotic analysis of the solutions of a linear viscoelastic problem with a dissipative and source terms in a three‐dimensional thin domain Ω ε . Firstly, we give the strong formulation of the problem and the existence and uniqueness theorem of the weak solution. Then, we establish some estimates independent of the parameter ε . These last will be useful to obtain the limit problem with a specific weak form of the Reynolds equation.

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