Title of article :
A Uniqueness Theorem for the Unbounded Classical Solution of the Nonstationary Navier-Stokes Equations in R3
Author/Authors :
H. Okamoto، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 1994
Pages :
10
From page :
473
To page :
482
Abstract :
Some new results on the nonstationary Navier-Stokes equations are presented. Our results connect the well known, functional analytic theory for the Navier-Stokes equations with the blow-up solutions which were newly found by Ohkitani and others [S. Childress et al., J. Fluid Mech. 203 (1989), 1-22; K. Ohkitani, J. Phys. Soc. Japan59 (1990), 3811-3814; J. T. Stuart, in "Symposium to Honor C. C. Lin (D. J. Benny, F. H. Shu, and C. Yuan, Eds.), pp. 81-95, World Scientific, 1987]. Actually we consider unbounded solutions and prove a generalization of Graffi′s uniqueness theorem [Ann. Mat. Pura Appl (4) 50 (1960), 379-387].
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
1994
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
938004
Link To Document :
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