Global existence of solutions to nonlinear hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/0022-0396(76)90102-9 ◽

1976 ◽

Vol 20 (1) ◽

pp. 187-212 ◽

Author(s):

Ronald J DiPerna

Keyword(s):

Global Existence ◽

Conservation Laws ◽

Existence Of Solutions ◽

Hyperbolic Systems ◽

Global Existence Of Solutions ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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Almost global existence of classical discontinuous solutions to genuinely nonlinear hyperbolic systems of conservation laws with small BV initial data

Journal of Differential Equations ◽

10.1016/j.jde.2013.01.004 ◽

2013 ◽

Vol 254 (7) ◽

pp. 2803-2833 ◽

Author(s):

Zhi-Qiang Shao

Keyword(s):

Initial Data ◽

Global Existence ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications

Lecture Notes in Mathematics - Evolutionary Equations with Applications in Natural Sciences ◽

10.1007/978-3-319-11322-7_9 ◽

2014 ◽

pp. 439-493 ◽

Author(s):

Mapundi Kondwani Banda

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2005029 ◽

2005 ◽

Vol 39 (4) ◽

pp. 649-692 ◽

Author(s):

Edwige Godlewski ◽

Kim-Claire Le Thanh ◽

Pierre-Arnaud Raviart

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Interface Coupling ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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On the static and dynamic study of oscillations for some nonlinear hyperbolic systems of conservation laws

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30267-0 ◽

1991 ◽

Vol 8 (3-4) ◽

pp. 333-350 ◽

Author(s):

Michel Rascle

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Dynamic Study ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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Global Existence of Solutions to Reaction-Hyperbolic Systems in one Space Dimension

SIAM Journal on Mathematical Analysis ◽

10.1137/s0036141093248050 ◽

1995 ◽

Vol 26 (2) ◽

pp. 399-414 ◽

Author(s):

Danielle D. Carr

Keyword(s):

Global Existence ◽

Space Dimension ◽

Existence Of Solutions ◽

Hyperbolic Systems ◽

Global Existence Of Solutions ◽

One Space Dimension

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High resolution staggered mesh approach for nonlinear hyperbolic systems of conservation laws

Journal of Computational Physics ◽

10.1016/0021-9991(92)90009-n ◽

1992 ◽

Vol 101 (2) ◽

pp. 314-329 ◽

Author(s):

Richard Sanders ◽

Alan Weiser

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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High-order schemes and entropy condition for nonlinear hyperbolic systems of conservation laws

Mathematics of Computation ◽

10.1090/s0025-5718-1988-0917818-1 ◽

1988 ◽

Vol 50 (181) ◽

pp. 53-53 ◽

Author(s):

J.-P. Vila

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Entropy Condition ◽

High Order Schemes ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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On the structure of solutions of nonlinear hyperbolic systems of conservation laws

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2011.10.1011 ◽

2011 ◽

Vol 10 (4) ◽

pp. 1011-1036 ◽

Author(s):

Gui-Qiang Chen ◽

Monica Torres

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Structure Of Solutions ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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Boundary Conditions for Nonlinear Hyperbolic Systems of Conservation Laws

Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications ◽

10.1007/978-3-322-87869-4_10 ◽

1989 ◽

pp. 96-104 ◽

Author(s):

François Dubois ◽

Philippe Floch

Keyword(s):

Boundary Conditions ◽

Conservation Laws ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: I. The scalar case

Numerische Mathematik ◽

10.1007/s00211-002-0438-5 ◽

2004 ◽

Vol 97 (1) ◽

pp. 81-130 ◽

Author(s):

E. Godlewski ◽

P.-A. Raviart

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Scalar Case ◽

Interface Coupling ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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