Discontinuous Solutions of Conservation Laws

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

10.1007/978-1-4684-0152-3_15 ◽

1983 ◽

pp. 239-264

Author(s):

Joel Smoller

Keyword(s):

Conservation Laws ◽

Discontinuous Solutions

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Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions

Computers & Fluids ◽

10.1016/j.compfluid.2009.03.002 ◽

2009 ◽

Vol 38 (9) ◽

pp. 1697-1709 ◽

Cited By ~ 8

Author(s):

V. Guinot

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Sensitivity Equations ◽

Systems Of Conservation Laws

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Global weakly discontinuous solutions for hyperbolic conservation laws in the presence of a boundary

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.03.054 ◽

2008 ◽

Vol 345 (1) ◽

pp. 223-242 ◽

Cited By ~ 4

Author(s):

Zhi-Qiang Shao

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Discontinuous Solutions ◽

Hyperbolic Conservation

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Convergence of Linearized and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 1: Linearized Approximations and Linearized Output Functionals

SIAM Journal on Numerical Analysis ◽

10.1137/080727464 ◽

2010 ◽

Vol 48 (3) ◽

pp. 882-904 ◽

Cited By ~ 24

Author(s):

Mike Giles ◽

Stefan Ulbrich

Keyword(s):

Conservation Laws ◽

Discontinuous Solutions

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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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Accuracy of High Order and Spectral Methods for Hyperbolic Conservation Laws with Discontinuous Solutions

SIAM Journal on Numerical Analysis ◽

10.1137/140992758 ◽

2015 ◽

Vol 53 (4) ◽

pp. 1857-1875 ◽

Cited By ~ 3

Author(s):

J. Zudrop ◽

J. S. Hesthaven

Keyword(s):

Conservation Laws ◽

Spectral Methods ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Discontinuous Solutions ◽

Hyperbolic Conservation

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An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions

Journal of Computational Physics ◽

10.1016/j.jcp.2018.03.029 ◽

2018 ◽

Vol 365 ◽

pp. 105-134 ◽

Cited By ~ 14

Author(s):

M.J. Zahr ◽

P.-O. Persson

Keyword(s):

Conservation Laws ◽

High Order ◽

Discontinuous Solutions

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Lifespan of classical discontinuous solutions to the generalized nonlinear initial–boundary Riemann problem for hyperbolic conservation laws with small BV data: Rarefaction waves

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.05.017 ◽

2018 ◽

Vol 44 ◽

pp. 497-536

Author(s):

Zhi-Qiang Shao

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Conservation Laws ◽

Initial Boundary ◽

Rarefaction Waves ◽

Discontinuous Solutions ◽

Hyperbolic Conservation

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Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: Shocks and contact discontinuities

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.09.037 ◽

2012 ◽

Vol 387 (2) ◽

pp. 698-720 ◽

Cited By ~ 6

Author(s):

Zhi-Qiang Shao

Keyword(s):

Initial Data ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Quasilinear Hyperbolic Systems ◽

Contact Discontinuities ◽

Systems Of Conservation Laws

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