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Weakly Perturbed Flows in Third Grade Fluids
Author(s) -
Tigoiu V.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200006)80:6<423::aid-zamm423>3.0.co;2-p
Subject(s) - limit (mathematics) , rest (music) , representation (politics) , mathematics , flow (mathematics) , contradiction , pure mathematics , calculus (dental) , mathematical analysis , mathematical physics , physics , philosophy , geometry , epistemology , medicine , dentistry , politics , political science , acoustics , law
This paper shows that a third grade fluid (different from the model employed by Fosdick and Rajagopal , see Tigoiu [6]) has a unique solution when experiences a weakly perturbed flow and the rest state is asymptotically stable. This result is not in contradiction with the result obtained by Joseph , but it proves the limit in the application of the representation theorem of Coleman and Noll .