ROBERTA NIBBI
Un problema di esistenza e unicità per un fluido viscoso con funzione di memoria
non sommabile.
Pages: 115-129
Received: 12 December 1991
Mathematics Subject Classification: 76A10
Abstract
An incompressible viscoelastic fluid is considered along with a relaxation function μ,
which satisfies, besides the condition μ ε L2(0, +∞), only those
conditions deriving from the Second Law of Thermodynamics. In this paper it is proved
that such weak hypotheses imply existence, uniqueness and stability theorems firstly for
the Dirichlet dynamic problem and then for the relative boundary-initial history value problem.