Proves global existence and uniqueness of strong solutions for a Zakharov-type system in general 3D domains under small initial data via energy estimates and Cauchy sequences, plus Sobolev norm growth bounds.
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Global solutions to Navier-Stokes with Coriolis force decay at linearized rates, faster than heat flow, in L^p norms for p in [2, infinity] when initial data is small.
Global smooth solutions exist for small data in the viscous β-plane equations, with decay faster than the heat equation and asymptotic behavior matching the linear kernel.
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Global existence for a Zakharov type system in a domain
Proves global existence and uniqueness of strong solutions for a Zakharov-type system in general 3D domains under small initial data via energy estimates and Cauchy sequences, plus Sobolev norm growth bounds.
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Temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force
Global solutions to Navier-Stokes with Coriolis force decay at linearized rates, faster than heat flow, in L^p norms for p in [2, infinity] when initial data is small.
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Global well-posedness and temporal decay estimates for the viscous $\beta$-plane equations
Global smooth solutions exist for small data in the viscous β-plane equations, with decay faster than the heat equation and asymptotic behavior matching the linear kernel.