Well-Posedness and Long-Time Behavior of Solutions for Two-Dimensional Navier-Stokes Equations with Infinite Delay and General Hereditary Memory
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The One
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We address the dynamics of two-dimensional Navier-Stokes models with infinite delay and hereditary memory, whose kernels are a much larger class of functions than the one considered in the literature, on a bounded domain. We prove the existence and uniqueness of weak solutions by means of Faedo-Galerkin method. Moreover, we establish the existence of global attractor for the system with the existence of a bounded absorbing set and asymptotic compact property.
1995 ◽
Vol 7
(4)
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pp. 261-278
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2011 ◽
Vol 666
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pp. 506-520
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2013 ◽
Vol 143
(5)
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pp. 905-927
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2021 ◽
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2012 ◽
Vol 44
(5)
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pp. 1001-1019
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