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Space-time decay estimates of solutions to 3D incompressible viscous Camassa-Holm equations. (English) Zbl 1477.35188

Summary: In this paper, based on the parabolic interpolation inequality and inductive argument, we study the space-time decay estimates of higher-order time and spatial derivatives of strong solutions for the 3D incompressible viscous Camassa-Holm equations provided that the initial datum is well localized.

MSC:

35Q35 PDEs in connection with fluid mechanics
35B40 Asymptotic behavior of solutions to PDEs
35D30 Weak solutions to PDEs
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