On Shinbrot’s conjecture for the Navier-Stokes equations
1993 ◽
Vol 440
(1910)
◽
pp. 537-540
◽
Keyword(s):
Marvin Shinbrot conjectured that the weak solution of the Navier-Stokes equations possess fractional derivatives in time of any order less than 1/2. In this paper, using the Hardy-Littlewood maximal theorem we prove that the conjecture is true in the two-dimensional case and it is true conditionally in the three-dimensional case.
2006 ◽
Vol 128
(6)
◽
pp. 1394-1399
◽
2011 ◽
Vol 666
◽
pp. 506-520
◽
1997 ◽
Vol 13
(1)
◽
pp. 19-38
◽
Keyword(s):
1996 ◽
Vol 21
(2)
◽
pp. 185-206
◽
Keyword(s):
1977 ◽
Vol 82
(2)
◽
pp. 309-319
◽
Keyword(s):
1995 ◽
Vol 8
(4)
◽
pp. 63-66
◽