Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves

PG LeFloch,; J Novotny,

doi:10.1115/1.1579455

Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves

Applied Mechanics Reviews ◽

10.1115/1.1579455 ◽

2003 ◽

Vol 56 (4) ◽

pp. B53-B54 ◽

Cited By ~ 10

Author(s):

PG LeFloch, ◽

J Novotny,

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws

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Delta-Shock Waves as Limits of Vanishing Viscosity for Hyperbolic Systems of Conservation Laws

Journal of Differential Equations ◽

10.1006/jdeq.1994.1093 ◽

1994 ◽

Vol 112 (1) ◽

pp. 1-32 ◽

Cited By ~ 164

Author(s):

D.C. Tan ◽

T. Zhang ◽

T. Chang ◽

Y.X. Zheng

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Vanishing Viscosity ◽

Delta Shock ◽

Systems Of Conservation Laws ◽

Delta Shock Waves

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δ′-shock waves as a new type of singular solutions to hyperbolic systems of conservation laws

Doklady Mathematics ◽

10.1134/s106456240602030x ◽

2006 ◽

Vol 73 (2) ◽

pp. 264-268 ◽

Cited By ~ 3

Author(s):

E. Yu. Panov ◽

V. M. Shelkovich

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Singular Solutions ◽

Systems Of Conservation Laws ◽

New Type

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1. Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves

Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves ◽

10.1137/1.9781611970562.ch1 ◽

1973 ◽

pp. 1-48 ◽

Cited By ~ 30

Author(s):

Peter D. Lax

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

Mathematical Theory ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws

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Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves

10.1137/1.9781611970562 ◽

1973 ◽

Cited By ~ 582

Author(s):

Peter D. Lax

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

Mathematical Theory ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws

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Weakly non-linear geometric optics for hyperbolic systems of conservation laws with shock waves

Asymptotic Analysis ◽

10.3233/asy-1995-10202 ◽

1995 ◽

Vol 10 (2) ◽

pp. 117-172 ◽

Cited By ~ 13

Author(s):

Andrea Corli

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Geometric Optics ◽

Non Linear ◽

Systems Of Conservation Laws

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Asymptotic stability of discrete shock waves for the Lax-Friedrichs scheme to hyperbolic systems of conservation laws

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167392 ◽

1997 ◽

Vol 14 (3) ◽

pp. 437-468 ◽

Cited By ~ 1

Author(s):

Lung-an Ying

Keyword(s):

Asymptotic Stability ◽

Shock Waves ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws

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On the uniqueness of solutions to hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2021.04.034 ◽

2021 ◽

Vol 291 ◽

pp. 110-153

Author(s):

Shyam Sundar Ghoshal ◽

Animesh Jana ◽

Konstantinos Koumatos

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Uniqueness Of Solutions ◽

Systems Of Conservation Laws

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New developments of delta shock waves and its applications in systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2012.02.015 ◽

2012 ◽

Vol 252 (11) ◽

pp. 5951-5993 ◽

Cited By ~ 81

Author(s):

Hanchun Yang ◽

Yanyan Zhang

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

New Developments ◽

Delta Shock ◽

Systems Of Conservation Laws ◽

Delta Shock Waves

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Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws

Mathematical Notes ◽

10.1134/s0001434621110365 ◽

2021 ◽

Vol 110 (5-6) ◽

pp. 972-975

Author(s):

Yu. G. Rykov

Keyword(s):

Conservation Laws ◽

Variational Formulation ◽

Hyperbolic Systems ◽

Generalized Solutions ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Conservation Laws

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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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