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 ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Inhomogeneous Fluid ◽

Inflow Boundary Condition

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On the global well-posedness for the compressible Navier–Stokes equations with slip boundary condition

Journal of Differential Equations ◽

10.1016/j.jde.2015.12.018 ◽

2016 ◽

Vol 260 (7) ◽

pp. 5761-5795 ◽

Author(s):

Yoshihiro Shibata ◽

Miho Murata

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Slip Boundary Condition ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

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A Discontinuous Galerkin Method for Convection-Dominated Compressible Viscous Navier--Stokes Equations with an Inflow Boundary Condition

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142999336637 ◽

2000 ◽

Vol 38 (3) ◽

pp. 699-717 ◽

Author(s):

Jae Ryong Kweon

Keyword(s):

Boundary Condition ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Inflow Boundary Condition ◽

Convection Dominated

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Compressible Navier--Stokes Equations in a Bounded Domain with Inflow Boundary Condition

SIAM Journal on Mathematical Analysis ◽

10.1137/s0036141095284254 ◽

1997 ◽

Vol 28 (1) ◽

pp. 94-108 ◽

Author(s):

Jae Ryong Kweon ◽

R. Bruce Kellogg

Keyword(s):

Boundary Condition ◽

Bounded Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Inflow Boundary Condition

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Compressible Navier-Stokes Equations in a Polyhedral Cylinder with Inflow Boundary Condition

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-017-0336-3 ◽

2017 ◽

Vol 20 (2) ◽

pp. 581-601 ◽

Author(s):

Ohsung Kwon ◽

Jae Ryong Kweon

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Inflow Boundary Condition

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Global well-posedness of the half space problem of the Navier–Stokes equations in critical function spaces of limiting case

ANNALI DELL UNIVERSITA DI FERRARA ◽

10.1007/s11565-020-00345-3 ◽

2020 ◽

Vol 66 (2) ◽

pp. 273-294

Author(s):

Tongkeun Chang ◽

Bum Ja Jin

Keyword(s):

Stokes Equations ◽

Function Spaces ◽

Navier Stokes ◽

Well Posedness ◽

Critical Function ◽

Navier Stokes Equations ◽

Space Problem ◽

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Analytic similarity solutions of the Navier–Stokes equations for a jet in a half space with the no-slip boundary condition

Physics of Fluids ◽

10.1063/5.0008111 ◽

2020 ◽

Vol 32 (5) ◽

pp. 053104 ◽

Author(s):

A. V. Gusarov

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Slip Boundary Condition ◽

Similarity Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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Global well-posedness of classical solutions to the compressible Navier–Stokes equations in a half-space

Journal of Differential Equations ◽

10.1016/j.jde.2012.02.024 ◽

2012 ◽

Vol 253 (1) ◽

pp. 167-202 ◽

Author(s):

Qin Duan

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Well Posedness ◽

Navier Stokes Equations

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Smooth Solution of the Compressible Navier–Stokes Equations in an Unbounded Domain with Inflow Boundary Condition

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5872 ◽

1998 ◽

Vol 220 (2) ◽

pp. 657-675 ◽

Author(s):

Jae Ryong Kweon ◽

R.Bruce Kellogg

Keyword(s):

Boundary Condition ◽

Unbounded Domain ◽

Smooth Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Inflow Boundary Condition

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Well-posedness and large deviations for 2D stochastic constrained Navier-Stokes equations driven by Lévy noise in the Marcus canonical form

Journal of Differential Equations ◽

10.1016/j.jde.2021.08.035 ◽

2021 ◽

Vol 302 ◽

pp. 64-138

Author(s):

Utpal Manna ◽

Akash Ashirbad Panda

Keyword(s):

Large Deviations ◽

Canonical Form ◽

Stokes Equations ◽

Navier Stokes ◽

Lévy Noise ◽

Well Posedness ◽

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 ◽

Free Boundary Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

A Free Boundary Problem

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