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Existence of classical solutions for compressible viscoelastic fluids of Oldroyd type past an obstacle
Author(s) -
MatušůNečasová Šárka,
Sequeira Adélia,
Videman Juha H.
Publication year - 1999
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/(sici)1099-1476(19990325)22:5<449::aid-mma34>3.0.co;2-g
Subject(s) - mathematics , uniqueness , viscoelasticity , type (biology) , mathematical analysis , domain (mathematical analysis) , compressibility , nonlinear system , obstacle , compressible flow , flow (mathematics) , smoothness , geometry , mechanics , physics , ecology , quantum mechanics , biology , political science , law , thermodynamics
This paper deals with the existence and uniqueness of stationary solutions for the equations modelling the steady flow of compressible viscoelastic fluids of Oldroyd type in an exterior domain. The existence proof is based on an appropriate decomposition of the original nonlinear set of equations into auxiliar problems (Neumann problem for the Laplacian, Oseen problem, two transport equations) and on a fixed point argument in a suitable functional setting. Copyright © 1999 John Wiley & Sons, Ltd.