Hyperbolic systems of conservation laws with Lipschitz continuous flux-functions: The Riemann problem

Joaquim Correia; Philippe G. LeFloch; Mai Duc Thanh

doi:10.1007/bf01233668

Hyperbolic systems of conservation laws with Lipschitz continuous flux-functions: The Riemann problem

Boletim da Sociedade Brasileira de Matemática ◽

10.1007/bf01233668 ◽

2001 ◽

Vol 32 (3) ◽

pp. 271-301 ◽

Cited By ~ 6

Author(s):

Joaquim Correia ◽

Philippe G. LeFloch ◽

Mai Duc Thanh

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Lipschitz Continuous ◽

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 ◽

Cited By ~ 7

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 ◽

Cited By ~ 1

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 ◽

Cited By ~ 5

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 ◽

Cited By ~ 1

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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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 ◽

Cited By ~ 21

Author(s):

John M. Hong

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Weak Solutions ◽

Hyperbolic Systems ◽

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 ◽

Cited By ~ 3

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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The Riemann problem with delta initial data for a class of coupled hyperbolic systems of conservation laws

Nonlinear Analysis ◽

10.1016/j.na.2006.09.057 ◽

2007 ◽

Vol 67 (11) ◽

pp. 3041-3049 ◽

Cited By ~ 22

Author(s):

Hanchun Yang ◽

Wenhua Sun

Keyword(s):

Initial Data ◽

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws

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

Nonlinear Analysis ◽

10.1016/j.na.2005.04.021 ◽

2005 ◽

Vol 62 (6) ◽

pp. 1091-1107 ◽

Cited By ~ 9

Author(s):

Li Tatsien ◽

Wang Libin

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Initial Boundary ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Conservation Laws

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The Generalized Riemann Problem for First Order Quasilinear Hyperbolic Systems of Conservation Laws II

Acta Applicandae Mathematicae ◽

10.1007/s10440-008-9311-6 ◽

2008 ◽

Vol 108 (2) ◽

pp. 235-277 ◽

Cited By ~ 1

Author(s):

Shouxin Chen ◽

Xiaosen Han ◽

Hao Zhang

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Quasilinear Hyperbolic Systems ◽

First Order ◽

Generalized Riemann Problem ◽

Systems Of Conservation Laws

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