Weighted L p − L q Estimates of Stokes Semigroup in Half-Space and Its Application to the Navier-Stokes Equations

Recent Developments of Mathematical Fluid Mechanics - Advances in Mathematical Fluid Mechanics ◽

10.1007/978-3-0348-0939-9_18 ◽

2016 ◽

pp. 337-349 ◽

Cited By ~ 1

Author(s):

Takayuki Kobayashi ◽

Takayuki Kubo

Keyword(s):

Half Space ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Maximal $$L^1$$-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space

Journal of Elliptic and Parabolic Equations ◽

10.1007/s41808-021-00133-w ◽

2021 ◽

Author(s):

Takayoshi Ogawa ◽

Senjo Shimizu

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Half Space ◽

Free Boundary Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

A Free Boundary Problem

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The Inviscid Limit of Navier–Stokes Equations for Analytic Data on the Half-Space

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-018-1266-9 ◽

2018 ◽

Vol 230 (3) ◽

pp. 1103-1129 ◽

Cited By ~ 7

Author(s):

Toan T. Nguyen ◽

Trinh T. Nguyen

Keyword(s):

Half Space ◽

Stokes Equations ◽

Inviscid Limit ◽

Navier Stokes ◽

Navier Stokes Equations

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Initial-boundary value problem of the Navier–Stokes equations in the half space with nonhomogeneous data

ANNALI DELL UNIVERSITA DI FERRARA ◽

10.1007/s11565-018-0312-8 ◽

2018 ◽

Vol 65 (1) ◽

pp. 29-56 ◽

Cited By ~ 2

Author(s):

Tongkeun Chang ◽

Bum Ja Jin

Keyword(s):

Boundary Value Problem ◽

Half Space ◽

Stokes Equations ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Initial Boundary Value ◽

Nonhomogeneous Data

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

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1120 ◽

2009 ◽

Vol 32 (14) ◽

pp. 1878-1892 ◽

Cited By ~ 6

Author(s):

Cheng He ◽

Lizhen Wang

Keyword(s):

Half Space ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Moment Estimates

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A critical functional framework for the inhomogeneous Navier–Stokes equations in the half-space

Journal of Functional Analysis ◽

10.1016/j.jfa.2008.11.019 ◽

2009 ◽

Vol 256 (3) ◽

pp. 881-927 ◽

Cited By ~ 33

Author(s):

Raphaël Danchin ◽

Piotr Bogusław Mucha

Keyword(s):

Half Space ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Global well-posedness of the Navier-Stokes equations of an inhomogeneous fluid in the half-space with inflow boundary condition

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123567 ◽

2020 ◽

Vol 482 (2) ◽

pp. 123567

Author(s):

Tongkeun Chang ◽

Bum Ja Jin

Keyword(s):

Boundary Condition ◽

Half Space ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Inhomogeneous Fluid ◽

Inflow Boundary Condition

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Global Ln-solution and its decay property for the Navier-Stokes equations in half-space R+n

Journal of Differential Equations ◽

10.1016/0022-0396(89)90114-9 ◽

1989 ◽

Vol 79 (1) ◽

pp. 79-88 ◽

Cited By ~ 39

Author(s):

Hideo Kozono

Keyword(s):

Half Space ◽

Stokes Equations ◽

Decay Property ◽

Navier Stokes ◽

Navier Stokes Equations

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On the (x,t) asymptotic properties of solutions of the Navier-Stokes equations in the half-space

Journal of Mathematical Sciences ◽

10.1007/s10958-006-0197-4 ◽

2006 ◽

Vol 136 (2) ◽

pp. 3735-3767 ◽

Cited By ~ 4

Author(s):

F. Crispo ◽

P. Maremonti

Keyword(s):

Half Space ◽

Stokes Equations ◽

Asymptotic Properties ◽

Navier Stokes ◽

Navier Stokes Equations

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Boundary regularity for the Navier-Stokes equations in a half-space

Communications in Mathematical Physics ◽

10.1007/bf01254460 ◽

1982 ◽

Vol 85 (2) ◽

pp. 275-299 ◽

Cited By ~ 20

Author(s):

Vladimir Scheffer

Keyword(s):

Half Space ◽

Stokes Equations ◽

Boundary Regularity ◽

Navier Stokes ◽

Navier Stokes Equations

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Stokes and Navier–Stokes Equations with Robin Boundary Conditions in a Half-Space

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-004-0143-5 ◽

2005 ◽

Vol 8 (2) ◽

pp. 211-241 ◽

Cited By ~ 21

Author(s):

Jürgen Saal

Keyword(s):

Boundary Conditions ◽

Half Space ◽

Stokes Equations ◽

Navier Stokes ◽

Robin Boundary Conditions ◽

Navier Stokes Equations ◽

Robin Boundary

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