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On the initial‐boundary value problem of the incompressible viscoelastic fluid system
Author(s) -
Lin Fanghua,
Zhang Ping
Publication year - 2008
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20219
Subject(s) - infinity , viscoelasticity , compressibility , mathematics , boundary value problem , initial value problem , mathematical analysis , boundary (topology) , state (computer science) , value (mathematics) , mechanics , physics , thermodynamics , statistics , algorithm
In this paper, we shall establish the local well‐posedness of the initial‐boundary value problem of the viscoelastic fluid system of the Oldroyd model. We shall also prove that the local solutions can be extended globally and that the global solutions decay exponentially fast as time goes to infinity provided that the initial data are sufficiently close to the equilibrium state. © 2007 Wiley Periodicals, Inc.