On the Riemann problem for some discontinuous systems of conservation laws describing phase transitions

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2004.3.53 ◽

2004 ◽

Vol 3 (1) ◽

pp. 53-58 ◽

Author(s):

João-Paulo Dias ◽

◽

Mário Figueira

Keyword(s):

Phase Transitions ◽

Conservation Laws ◽

Riemann Problem ◽

Discontinuous Systems ◽

Systems Of Conservation Laws

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Blowup of solutions to generalized Riemann problem for quasilinear hyperbolic systems of conservation laws

IMA Journal of Applied Mathematics ◽

10.1093/imamat/69.2.131 ◽

2004 ◽

Vol 69 (2) ◽

pp. 131-158 ◽

Author(s):

H.-H. Dai

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Quasilinear Hyperbolic Systems ◽

Generalized Riemann Problem ◽

Blowup Of Solutions ◽

Systems Of Conservation Laws

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Global classical discontinuous solutions to a class of generalized riemann problem for general quasilinear hyperbolic systems of conservation laws

Communications in Partial Differential Equations ◽

10.1080/03605309908821447 ◽

1999 ◽

Vol 24 (5-6) ◽

pp. 407-437 ◽

Author(s):

Li Ta-Tsient ◽

Kong De-Xing

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Quasilinear Hyperbolic Systems ◽

Generalized Riemann Problem ◽

Systems Of Conservation Laws

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THE GENERALIZED RIEMANN PROBLEM FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS I

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2009.46.3.409 ◽

2009 ◽

Vol 46 (3) ◽

pp. 409-434 ◽

Author(s):

Shouxin Chen ◽

Decheng Huang ◽

Xiaosen Han

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Quasilinear Hyperbolic Systems ◽

First Order ◽

Generalized Riemann Problem ◽

Systems Of Conservation Laws

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On the uniqueness of entropy solutions to the Riemann problem for 2×2 hyperbolic systems of conservation laws

Communications in Mathematical Sciences ◽

10.4310/cms.2011.v9.n1.a8 ◽

2011 ◽

Vol 9 (1) ◽

pp. 161-185 ◽

Author(s):

Hiroki Ohwa

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Entropy Solutions ◽

Systems Of Conservation Laws

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Riemann Problem for a Class of Non-strictly Hyperbolic Systems of Conservation Laws

Acta Applicandae Mathematicae ◽

10.1007/s10440-022-00464-3 ◽

2022 ◽

Vol 177 (1) ◽

Author(s):

Shiwei Li

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws

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The Riemann problem for general systems of conservation laws

Journal of Differential Equations ◽

10.1016/0022-0396(75)90091-1 ◽

1975 ◽

Vol 18 (1) ◽

pp. 218-234 ◽

Author(s):

Tai-Ping Liu

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

General Systems ◽

Systems Of Conservation Laws

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An extension of Glimm's method to inhomogeneous strictly hyperbolic systems of conservation laws by “weaker than weak” solutions of the Riemann problem

Journal of Differential Equations ◽

10.1016/j.jde.2005.06.016 ◽

2006 ◽

Vol 222 (2) ◽

pp. 515-549 ◽

Author(s):

John M. Hong

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Weak Solutions ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws

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The Riemann Problem for Systems of Conservation Laws

Grundlehren der mathematischen Wissenschaften - Shock Waves and Reaction—Diffusion Equations ◽

10.1007/978-1-4612-0873-0_17 ◽

1994 ◽

pp. 306-336

Author(s):

Joel Smoller

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Systems Of Conservation Laws

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The Riemann Problem for Systems of Conservation Laws of Mixed Type

Shock Induced Transitions and Phase Structures in General Media - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4613-8348-2_4 ◽

1993 ◽

pp. 61-91 ◽

Author(s):

Haitao Fan ◽

Marshall Slemrod

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Systems Of Conservation Laws

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The generalized nonlinear initial–boundary Riemann problem for linearly degenerate quasilinear hyperbolic systems of conservation laws

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.01.048 ◽

2011 ◽

Vol 379 (2) ◽

pp. 589-615 ◽

Author(s):

Zhi-Qiang Shao

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Initial Boundary ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Conservation Laws ◽

Linearly Degenerate

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