Local well-posedness of the vacuum free boundary of 3-D compressible Navier–Stokes equations

Guilong Gui; Chao Wang; Yuxi Wang

doi:10.1007/s00526-019-1608-y

Local well-posedness of the vacuum free boundary of 3-D compressible Navier–Stokes equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-019-1608-y ◽

2019 ◽

Vol 58 (5) ◽

Cited By ~ 2

Author(s):

Guilong Gui ◽

Chao Wang ◽

Yuxi Wang

Keyword(s):

Free Boundary ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations

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Local well-posedness to the vacuum free boundary problem of full compressible Navier-Stokes equations in R3

Journal of Differential Equations ◽

10.1016/j.jde.2021.08.016 ◽

2021 ◽

Vol 300 ◽

pp. 734-785

Author(s):

Yuhui Chen ◽

Jingchi Huang ◽

Chao Wang ◽

Zhengzhen Wei

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations

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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 ◽

Levy Noise

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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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On the global well-posedness for the 3D axisymmetric incompressible Keller–Segel–Navier–Stokes equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01609-4 ◽

2021 ◽

Vol 72 (5) ◽

Author(s):

Qiang Hua ◽

Qian Zhang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations

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Local and Global Solvability of Free Boundary Problems for the Compressible Navier–Stokes Equations Near Equilibria

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids ◽

10.1007/978-3-319-10151-4_51-3 ◽

2017 ◽

pp. 1-88

Author(s):

Irina Vladimirovna Denisova ◽

Vsevolod Alexeevich Solonnikov

Keyword(s):

Free Boundary ◽

Stokes Equations ◽

Free Boundary Problems ◽

Global Solvability ◽

Navier Stokes ◽

Boundary Problems ◽

Navier Stokes Equations

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Global well-posedness of strong solutions to the two-dimensional barotropic compressible Navier–Stokes equations with vacuum

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-016-0619-1 ◽

2016 ◽

Vol 67 (2) ◽

Cited By ~ 5

Author(s):

Li Fang ◽

Zhenhua Guo

Keyword(s):

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Well Posedness ◽

Two Dimensional ◽

Navier Stokes Equations

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Free boundary problems for the Navier-Stokes equations

Lecture Notes in Mathematics - Partial Differential Equations and Calculus of Variations ◽

10.1007/bfb0082863 ◽

1988 ◽

pp. 96-115 ◽

Cited By ~ 1

Author(s):

Josef Bemelmans

Keyword(s):

Free Boundary ◽

Stokes Equations ◽

Free Boundary Problems ◽

Navier Stokes ◽

Boundary Problems ◽

Navier Stokes Equations

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Low Mach and Low Froude Number Limit for Vacuum Free Boundary Problem of All-time Classical Solutions of one-dimensional Compressible Navier--Stokes Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/14m1191769 ◽

2021 ◽

Vol 53 (3) ◽

pp. 3265-3305

Author(s):

Yaobin Ou

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Froude Number ◽

Free Boundary Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

One Dimensional ◽

Low Froude Number

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Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.22030 ◽

2021 ◽

Vol 75 (2) ◽

pp. 223-348

Author(s):

Tai‐Ping Liu ◽

Shih‐Hsien Yu

Keyword(s):

Green’S Function ◽

Green's Function ◽

Gas Dynamics ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations

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On a free boundary problem for the stationary navier-stokes equations with a dynamic contact line

The Navier-Stokes Equations II — Theory and Numerical Methods - Lecture Notes in Mathematics ◽

10.1007/bfb0090331 ◽

1992 ◽

pp. 17-29 ◽

Cited By ~ 7

Author(s):

Jürgen Socolowsky

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Contact Line ◽

Stokes Equations ◽

Dynamic Contact ◽

Navier Stokes ◽

Navier Stokes Equations ◽

A Free Boundary Problem ◽

Dynamic Contact Line ◽

Stationary Navier Stokes Equations

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