Moment estimates for weak solutions to the Navier–Stokes equations in half‐space

He, Cheng; Wang, Lizhen

doi:10.1002/mma.1120

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Introduction and Main Results1

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2024

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Cited by 7 publications

(1 citation statement)

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“…For example, Bae and Jin , Brandolese , and Schonbek considered the decay rates of solutions on the whole space

{double-struckR}^{n}

. Bae and Choe , Borchers and Miyakawa , Fujigaki and Miyakawa , Han , and He and Wang studied asymptotic behavior for weak and strong solutions in

L^{q} ({double-struckR}_{+}^{n})

with 1 < q < ∞ . For relevant topics, refer to and the references therein.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Large time behavior for the incompressible magnetohydrodynamic equations in half-spaces

2014

Math. Meth. Appl. Sci.

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Communicated by Z. XinThe weighted L r -asymptotic behavior of the strong solution and its first-order spacial derivatives to the incompressible magnetohydrodynamic (MHD) equations is established in a half-space. Further, the L 1 -decay rates of the second-order spatial derivatives of the strong solution are derived by using the Stokes solution formula and employing a decomposition for the nonlinear terms in MHD equations.

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“…For example, Bae and Jin , Brandolese , and Schonbek considered the decay rates of solutions on the whole space

{double-struckR}^{n}

. Bae and Choe , Borchers and Miyakawa , Fujigaki and Miyakawa , Han , and He and Wang studied asymptotic behavior for weak and strong solutions in

L^{q} ({double-struckR}_{+}^{n})

with 1 < q < ∞ . For relevant topics, refer to and the references therein.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Large time behavior for the incompressible magnetohydrodynamic equations in half-spaces

2014

Math. Meth. Appl. Sci.

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Weighted Decay Results for the Nonstationary Stokes Flow and Navier–Stokes Equations in Half Spaces

Han

2015

J. Math. Fluid Mech.

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$$L^1-$$decay of higher-order norms of solutions to the Navier–Stokes equations in the upper-half space

Han

2024

Math. Z.

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Moment estimates for weak solutions to the Navier–Stokes equations in half‐space

Abstract: SUMMARYWe establish the moment estimates for a class of global weak solutions to the Navier-Stokes equations in the half-space.

Cited by 7 publications

References 14 publications

Large time behavior for the incompressible magnetohydrodynamic equations in half-spaces

Large time behavior for the incompressible magnetohydrodynamic equations in half-spaces

Weighted Decay Results for the Nonstationary Stokes Flow and Navier–Stokes Equations in Half Spaces

$$L^1-$$decay of higher-order norms of solutions to the Navier–Stokes equations in the upper-half space

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