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New global a prior; estimates for the third-grade fluid equations

Steinhauer, Mark; Urbano, José Miguel; Videman, Juha

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. ; http://dx.doi.org/10.1002/mma.732


New global a priori estimates for the third-grade fluid equations

Steinhauer, Mark; Urbano, José Miguel; Videman, Juha

This note bridges the gap between the existence and regularity classes for the solutions of 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


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