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Global well‐posedness for free boundary problem of the Oldroyd‐B model fluid flow
Author(s) -
Maryani Sri
Publication year - 2016
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.3634
Subject(s) - mathematics , bounded function , domain (mathematical analysis) , euclidean space , flow (mathematics) , newtonian fluid , mathematical analysis , boundary (topology) , space (punctuation) , geometry , classical mechanics , physics , linguistics , philosophy
In this paper, we prove the global well‐posedness of non‐Newtonian viscous fluid flow of the Oldroyd‐B model with free surface in a bounded domain of N ‐dimensional Euclidean spaceR N ( N ≥ 2 ) . The assumption of the problem is that the initial data are small enough and orthogonal to rigid motions. Copyright © 2015 John Wiley & Sons, Ltd.