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Multiple viscous wave fan profiles for Riemann solutions of hyperbolic systems of conservation laws
1.  Department of Mathematics, University of Kansas, Lawrence, KS 66045 
[1] 
Constantine M. Dafermos. A variational approach to the Riemann problem for hyperbolic conservation laws. Discrete and Continuous Dynamical Systems, 2009, 23 (1&2) : 185195. doi: 10.3934/dcds.2009.23.185 
[2] 
Stefano Bianchini. A note on singular limits to hyperbolic systems of conservation laws. Communications on Pure and Applied Analysis, 2003, 2 (1) : 5164. doi: 10.3934/cpaa.2003.2.51 
[3] 
Yu Zhang, Yanyan Zhang. Riemann problems for a class of coupled hyperbolic systems of conservation laws with a source term. Communications on Pure and Applied Analysis, 2019, 18 (3) : 15231545. doi: 10.3934/cpaa.2019073 
[4] 
ZhiQiang Shao. Lifespan of classical discontinuous solutions to the generalized nonlinear initialboundary Riemann problem for hyperbolic conservation laws with small BV data: shocks and contact discontinuities. Communications on Pure and Applied Analysis, 2015, 14 (3) : 759792. doi: 10.3934/cpaa.2015.14.759 
[5] 
GuiQiang Chen, Monica Torres. On the structure of solutions of nonlinear hyperbolic systems of conservation laws. Communications on Pure and Applied Analysis, 2011, 10 (4) : 10111036. doi: 10.3934/cpaa.2011.10.1011 
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Yanbo Hu, Wancheng Sheng. The Riemann problem of conservation laws in magnetogasdynamics. Communications on Pure and Applied Analysis, 2013, 12 (2) : 755769. doi: 10.3934/cpaa.2013.12.755 
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Anupam Sen, T. Raja Sekhar. Structural stability of the Riemann solution for a strictly hyperbolic system of conservation laws with flux approximation. Communications on Pure and Applied Analysis, 2019, 18 (2) : 931942. doi: 10.3934/cpaa.2019045 
[8] 
TaiPing Liu, ShihHsien Yu. Hyperbolic conservation laws and dynamic systems. Discrete and Continuous Dynamical Systems, 2000, 6 (1) : 143145. doi: 10.3934/dcds.2000.6.143 
[9] 
JoãoPaulo Dias, Mário Figueira. On the Riemann problem for some discontinuous systems of conservation laws describing phase transitions. Communications on Pure and Applied Analysis, 2004, 3 (1) : 5358. doi: 10.3934/cpaa.2004.3.53 
[10] 
Alberto Bressan, Marta Lewicka. A uniqueness condition for hyperbolic systems of conservation laws. Discrete and Continuous Dynamical Systems, 2000, 6 (3) : 673682. doi: 10.3934/dcds.2000.6.673 
[11] 
Xavier Litrico, Vincent Fromion, Gérard Scorletti. Robust feedforward boundary control of hyperbolic conservation laws. Networks and Heterogeneous Media, 2007, 2 (4) : 717731. doi: 10.3934/nhm.2007.2.717 
[12] 
Fumioki Asakura, Andrea Corli. The path decomposition technique for systems of hyperbolic conservation laws. Discrete and Continuous Dynamical Systems  S, 2016, 9 (1) : 1532. doi: 10.3934/dcdss.2016.9.15 
[13] 
K. T. Joseph, Philippe G. LeFloch. Boundary layers in weak solutions of hyperbolic conservation laws II. selfsimilar vanishing diffusion limits. Communications on Pure and Applied Analysis, 2002, 1 (1) : 5176. doi: 10.3934/cpaa.2002.1.51 
[14] 
Imen Manoubi. Theoretical and numerical analysis of the decay rate of solutions to a water wave model with a nonlocal viscous dispersive term with RiemannLiouville half derivative. Discrete and Continuous Dynamical Systems  B, 2014, 19 (9) : 28372863. doi: 10.3934/dcdsb.2014.19.2837 
[15] 
Christopher K. R. T. Jones, SiuKei Tin. Generalized exchange lemmas and orbits heteroclinic to invariant manifolds. Discrete and Continuous Dynamical Systems  S, 2009, 2 (4) : 9671023. doi: 10.3934/dcdss.2009.2.967 
[16] 
C. M. Khalique, G. S. Pai. Conservation laws and invariant solutions for soil water equations. Conference Publications, 2003, 2003 (Special) : 477481. doi: 10.3934/proc.2003.2003.477 
[17] 
Mapundi K. Banda, Michael Herty. Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws. Mathematical Control and Related Fields, 2013, 3 (2) : 121142. doi: 10.3934/mcrf.2013.3.121 
[18] 
Eitan Tadmor. Perfect derivatives, conservative differences and entropy stable computation of hyperbolic conservation laws. Discrete and Continuous Dynamical Systems, 2016, 36 (8) : 45794598. doi: 10.3934/dcds.2016.36.4579 
[19] 
Stefano Bianchini. On the shift differentiability of the flow generated by a hyperbolic system of conservation laws. Discrete and Continuous Dynamical Systems, 2000, 6 (2) : 329350. doi: 10.3934/dcds.2000.6.329 
[20] 
Tatsien Li, Libin Wang. Global exact shock reconstruction for quasilinear hyperbolic systems of conservation laws. Discrete and Continuous Dynamical Systems, 2006, 15 (2) : 597609. doi: 10.3934/dcds.2006.15.597 
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