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New global a priori estimates for the third‐grade fluid equations
Author(s) -
Steinhauer Mark,
Urbano José Miguel,
Videman Juha
Publication year - 2006
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/mma.732
Subject(s) - mathematics , a priori and a posteriori , a priori estimate , mathematical analysis , mathematical economics , calculus (dental) , medicine , philosophy , dentistry , epistemology
This note bridges the gap between the existence and regularity classes for the third‐grade Rivlin–Ericksen fluid equations. We obtain a new global a priori estimate, which conveys the precise regularity conditions that lead to the existence of a global in time regular solution. Copyright © 2006 John Wiley & Sons, Ltd.