Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations
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This paper is concerned with the large time behavior of the weak solutions for three-dimensional globally modified Navier-Stokes equations. With the aid of energy methods and auxiliary decay estimates together withLp-Lqestimates of heat semigroup, we derive the optimal upper and lower decay estimates of the weak solutions for the globally modified Navier-Stokes equations asC1(1+t)-3/4≤uL2≤C2(1+t)-3/4, t>1.The decay rate is optimal since it coincides with that of heat equation.
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2011 ◽
Vol 43
(1)
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pp. 341-366
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1996 ◽
Vol 27
(2)
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pp. 449-475
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2021 ◽
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1991 ◽
Vol 56
(193)
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pp. 45-45
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