Global solution to the incompressible Oldroyd-B model in hybrid Besov spaces
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This paper is dedicated to the Cauchy problem of the incompressible Oldroyd-B model with general coupling constant ? ?(0,1). It is shown that this set of equations admits a unique global solution in a certain hybrid Besov spaces for small initial data in ?Hs ??Bd/2 2,1 with - d/2 < s < d2-1. In particular, if d ? 3, and taking s=0, then ?H0 ? ?Bd/2 2,1 = B d/2 2,1. Since Bt2,? ? Bd/2 2,1 if t > d/2, this result extends the work by Chen and Miao [Nonlinear Anal.,68(2008), 1928-1939].
1983 ◽
Vol 94
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pp. 137-147
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2021 ◽
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2011 ◽
Vol 44
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pp. 405203
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2003 ◽
Vol 337
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pp. 523-526
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2013 ◽
Vol 10
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pp. 703-723
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2011 ◽
Vol 13
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pp. 795-812
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