Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem
Author(s) -
Julia Orlik
Publication year - 2009
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2009/828315
Subject(s) - mathematics , viscoelasticity , quasistatic process , stability (learning theory) , novelty , relaxation (psychology) , mathematical analysis , neumann boundary condition , dirichlet boundary condition , dirichlet distribution , boundary value problem , thermodynamics , psychology , social psychology , philosophy , physics , theology , machine learning , computer science
The paper is concerned with the existence and stability of weak (variational) solutionsfor the problem of the quasistatic evolution of a viscoelastic material undermixed inhomogenous Dirichlet-Neumann boundary conditions. The main noveltyof the paper relies in dealing with continuous-in-time weak solutions and allowing nonconvolution and weak-singular Volterra's relaxation kernels
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