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Existence of classical solutions for compressible viscoelastic fluids of Oldroyd type past an obstacle

✍ Scribed by Šárka Matušů-Nečasová; Adélia Sequeira; Juha H. Videman

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 128 KB
Volume: 22
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19990325)22:5<449::aid-mma34>3.0.co;2-g

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✦ Synopsis

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.