Remarks on the free boundary problem of compressible Euler equations in physical vacuum with general initial densities

Discrete and Continuous Dynamical Systems - Series B ◽

10.3934/dcdsb.2015.20.2885 ◽

2015 ◽

Vol 20 (9) ◽

pp. 2885-2931 ◽

Author(s):

Chengchun Hao

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Euler Equations ◽

Free Boundary Problem ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Compressible Euler

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Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.21562 ◽

2015 ◽

Vol 69 (7) ◽

pp. 1354-1396 ◽

Author(s):

Tao Luo ◽

Huihui Zeng

Keyword(s):

Free Boundary ◽

Global Existence ◽

Boundary Problem ◽

Euler Equations ◽

Free Boundary Problem ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Smooth Solutions ◽

Compressible Euler

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Local existence for the free boundary problem for nonrelativistic and Relativistic compressible Euler equations with a vacuum boundary condition

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20282 ◽

2009 ◽

Vol 62 (11) ◽

pp. 1551-1594 ◽

Author(s):

Yuri Trakhinin

Keyword(s):

Boundary Condition ◽

Free Boundary ◽

Boundary Problem ◽

Euler Equations ◽

Free Boundary Problem ◽

Local Existence ◽

Compressible Euler Equations ◽

Compressible Euler

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Well-posedness of the Free Boundary Problem for Non-relativistic and Relativistic Compressible Euler Equations with a Vacuum Boundary Condition

Series in Contemporary Applied Mathematics - Hyperbolic Problems ◽

10.1142/9789814417099_0073 ◽

2012 ◽

pp. 692-699

Author(s):

Yuri Trakhinin

Keyword(s):

Boundary Condition ◽

Free Boundary ◽

Boundary Problem ◽

Euler Equations ◽

Free Boundary Problem ◽

Compressible Euler Equations ◽

Well Posedness ◽

Compressible Euler

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A Priori Estimates for the Free-Boundary 3D Compressible Euler Equations in Physical Vacuum

Communications in Mathematical Physics ◽

10.1007/s00220-010-1028-5 ◽

2010 ◽

Vol 296 (2) ◽

pp. 559-587 ◽

Author(s):

Daniel Coutand ◽

Hans Lindblad ◽

Steve Shkoller

Keyword(s):

Free Boundary ◽

Euler Equations ◽

A Priori Estimates ◽

A Priori ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Priori Estimates ◽

Compressible Euler

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Well-posedness of Compressible Euler Equations in a Physical Vacuum

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.21517 ◽

2014 ◽

Vol 68 (1) ◽

pp. 61-111 ◽

Author(s):

Juhi Jang ◽

Nader Masmoudi

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Well Posedness ◽

Compressible Euler

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Global existence and convergence to the modified Barenblatt solution for the compressible Euler equations with physical vacuum and time-dependent damping

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-020-01866-7 ◽

2020 ◽

Vol 60 (1) ◽

Author(s):

Xinghong Pan

Keyword(s):

Global Existence ◽

Euler Equations ◽

Time Dependent ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Compressible Euler ◽

Barenblatt Solution

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Well-Posedness for the Motion of Physical Vacuum of the Three-dimensional Compressible Euler Equations with or without Self-Gravitation

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-014-0742-0 ◽

2014 ◽

Vol 213 (3) ◽

pp. 763-831 ◽

Author(s):

Tao Luo ◽

Zhouping Xin ◽

Huihui Zeng

Keyword(s):

Euler Equations ◽

Three Dimensional ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Well Posedness ◽

Compressible Euler

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Well-Posedness in Smooth Function Spaces for the Moving-Boundary Three-Dimensional Compressible Euler Equations in Physical Vacuum

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-012-0536-1 ◽

2012 ◽

Vol 206 (2) ◽

pp. 515-616 ◽

Author(s):

Daniel Coutand ◽

Steve Shkoller

Keyword(s):

Euler Equations ◽

Smooth Function ◽

Moving Boundary ◽

Three Dimensional ◽

Function Spaces ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Well Posedness ◽

Compressible Euler

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Well-posedness for compressible Euler equations with physical vacuum singularity

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20285 ◽

2009 ◽

Vol 62 (10) ◽

pp. 1327-1385 ◽

Author(s):

Juhi Jang ◽

Nader Masmoudi

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Well Posedness ◽

Compressible Euler

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Stability of smooth solutions for the compressible Euler equations with time-dependent damping and one-side physical vacuum

Journal of Differential Equations ◽

10.1016/j.jde.2021.01.003 ◽

2021 ◽

Vol 278 ◽

pp. 146-188

Author(s):

Xinghong Pan

Keyword(s):

Euler Equations ◽

Time Dependent ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Smooth Solutions ◽

Compressible Euler

Download Full-text