Global discontinuous solution for $1D$ isentropic gas dynamics system

Communications in Mathematical Sciences ◽

10.4310/cms.2021.v19.n5.a14 ◽

2021 ◽

Vol 19 (5) ◽

pp. 1451-1459

Author(s):

Ahmad El Hajj ◽

Hassan Ibrahim ◽

Vivian Rizik

Keyword(s):

Gas Dynamics ◽

Discontinuous Solution ◽

Isentropic Gas Dynamics ◽

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Criterium for the gradient catastrophe for the non-isentropic gas dynamics equations in the one dimensional case

PAMM ◽

10.1002/pamm.200700695 ◽

2007 ◽

Vol 7 (1) ◽

pp. 2040051-2040052

Author(s):

Olga Rozanova

Keyword(s):

Gas Dynamics ◽

Dimensional Case ◽

Gas Dynamics Equations ◽

One Dimensional ◽

Isentropic Gas Dynamics ◽

Isentropic Gas ◽

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LARGE TIME DECAY OF SOLUTIONS TO ISENTROPIC GAS DYNAMICS WITH SPHERICAL SYMMETRY

Journal of Hyperbolic Differential Equations ◽

10.1142/s0219891609001836 ◽

2009 ◽

Vol 06 (02) ◽

pp. 371-387

Author(s):

NAOKI TSUGE

Keyword(s):

Spherical Symmetry ◽

Gas Dynamics ◽

Approximate Solutions ◽

Large Time Behavior ◽

Time Behavior ◽

Decay Of Solutions ◽

Isentropic Gas Dynamics ◽

We consider the large time behavior of solutions to isentropic gas dynamics with spherical symmetry. In the present paper, we show the decay of the pressure in particular. To do this, we investigate approximate solutions constructed by a difference scheme.

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Free piston problem for isentropic gas dynamics

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167287 ◽

1995 ◽

Vol 12 (2) ◽

pp. 163-194 ◽

Author(s):

Shigeharu Takeno

Keyword(s):

Gas Dynamics ◽

Piston Problem ◽

Free Piston ◽

Isentropic Gas Dynamics ◽

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The invariant domain of Riemann solution for 1D non-isentropic gas dynamics equations

Journal of Mathematical Physics ◽

10.1063/5.0063076 ◽

2021 ◽

Vol 62 (10) ◽

pp. 101507

Author(s):

Tingting Zhang

Keyword(s):

Gas Dynamics ◽

Gas Dynamics Equations ◽

Invariant Domain ◽

Riemann Solution ◽

Isentropic Gas Dynamics ◽

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CONVERGENCE OF THE LAX–FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (III)

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30535-6 ◽

1986 ◽

Vol 6 (1) ◽

pp. 75-120 ◽

Author(s):

Guiqiang Chen

Keyword(s):

Gas Dynamics ◽

Isentropic Gas Dynamics ◽

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THE CONSTRUCTION OF GLOBAL CONTINUOUS SOLUTIONS FOR THE ISENTROPIC GAS DYNAMICS EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30442-9 ◽

1987 ◽

Vol 7 (2) ◽

pp. 177-186

Author(s):

Lin Peixiong

Keyword(s):

Gas Dynamics ◽

Gas Dynamics Equations ◽

Continuous Solutions ◽

Isentropic Gas Dynamics ◽

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Conservation laws of the one-dimensional isentropic gas dynamics equations in Lagrangian coordinates

10.1063/1.5125074 ◽

2019 ◽

Author(s):

Evgeniy I. Kaptsov ◽

Sergey V. Meleshko

Keyword(s):

Conservation Laws ◽

Gas Dynamics ◽

Lagrangian Coordinates ◽

Gas Dynamics Equations ◽

One Dimensional ◽

Isentropic Gas Dynamics ◽

Isentropic Gas ◽

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FROM KINETIC EQUATIONS TO MULTIDIMENSIONAL ISENTROPIC GAS DYNAMICS

EQUADIFF 2003 ◽

10.1142/9789812702067_0080 ◽

2005 ◽

Author(s):

F. BERTHELIN ◽

A. VASSEUR

Keyword(s):

Gas Dynamics ◽

Kinetic Equations ◽

Isentropic Gas Dynamics ◽

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On the vacuum state for the equations of isentropic gas dynamics

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(87)90253-8 ◽

1987 ◽

Vol 121 (2) ◽

pp. 406-425 ◽

Author(s):

Long-Wei Lin

Keyword(s):

Gas Dynamics ◽

Vacuum State ◽

Isentropic Gas Dynamics ◽

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Convergence of the Viscosity Method for the Systems of Isentropic Gas Dynamics in Lagrangian Coordinates

Journal of Differential Equations ◽

10.1006/jdeq.1993.1032 ◽

1993 ◽

Vol 102 (2) ◽

pp. 330-341 ◽

Author(s):

L.W. Lin ◽

T. Yang

Keyword(s):

Gas Dynamics ◽

Lagrangian Coordinates ◽

Viscosity Method ◽

Isentropic Gas Dynamics ◽

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