Mathematical and numerical study of a system of conservation laws (original) (raw)

The entropy rate admissibility criterion for solutions of hyperbolic conservation laws

Constantine Dafermos

Journal of Differential Equations, 1973

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Initial Layers and Uniqueness of¶Weak Entropy Solutions to¶Hyperbolic Conservation Laws

Alexandr FG

Archive for Rational Mechanics and Analysis, 2000

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Initial Layers and Uniqueness of¶Weak Entropy Solutions to¶Hyperbolic Conservation Laws

Gui-Qiang G. Chen

Archive for Rational Mechanics and Analysis, 2000

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Lecture notes on hyperbolic conservation laws

Alberto Bressan

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Notes on Hyperbolic Conservation Laws

Alberto Bressan

2009

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

Monica Torres

Communications on Pure and Applied Analysis, 2011

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The Cauchy Problem for Hyperbolic Conservation Laws with Three Equations

Christian Klingenberg

Journal of Mathematical Analysis and Applications, 1996

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A class of N nonlinear hyperbolic conservation laws

Lars Holden

Journal of Differential Equations, 1990

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Existence theory for nonclassical entropy solutions of scalar conservation laws

Benedetto Piccoli

Zeitschrift f�r angewandte Mathematik und Physik, 2004

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On Approximation of Entropy Solutions for One System of Nonlinear Hyperbolic Conservation Laws with Impulse Source Terms

Rosanna Manzo

Journal of Control Science and Engineering, 2010

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

Jean Paul Vila

Mathematics of Computation, 1988

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Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws

Alberto Bressan

Indiana University Mathematics Journal, 1999

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Hyperbolicity and genuine nonlinearity conditions for certain p-systems of conservation laws, weak solutions and the entropy condition

Krzysztof Rozga

arXiv (Cornell University), 2016

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Solutions in the large for the nonlinear hyperbolic conservation laws of gas dynamics

Blake Temple

Journal of Differential Equations, 1981

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Existence of Solutions to Hyperbolic Conservation Laws with a Source

Christian Klingenberg

Communications in Mathematical Physics, 1997

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Vanishing viscosity solutions of nonlinear hyperbolic systems

Alberto Bressan

Annals of Mathematics, 2005

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The Riemann problem for a class of conservation laws of mixed type

Michael Shearer

Journal of Differential Equations, 1982

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Well-posedness of the Cauchy problem for nxn systems of conservation laws

Alberto Bressan

2000

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A note on uniqueness of entropy solutions to degenerate parabolic equations in RN

mohamed maliki

2009

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On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition

Hermano Frid

Journal of Mathematical Analysis and Applications, 2007

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A variational approach to the Riemann problem for hyperbolic conservation laws

Constantine Dafermos

Discrete and Continuous Dynamical Systems, 2008

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Hyperbolicity and genuine nonlinearity conditions for certain p-systems of conservation laws, week solutions and the entropy condition

Krzysztof Rozga

Integracion, 2017

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A note on uniqueness of entropy solutions to degenerate parabolic equations in [FORMULA]

mohamed maliki

Nodea Nonlinear Differential Equations and Applications, 2010

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A note on uniqueness of entropy solutions to degenerate parabolic equations in

Boris Andreianov

Nodea-nonlinear Differential Equations and Applications, 2010

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Hyperbolic Systems of Conservation Laws and Related Problems

Walter Craig, Gui-Qiang G. Chen, Konstantina Trivisa

2000

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Large-time behavior of entropy solutions of conservation laws

Hermano Frid

1999

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Solution of the riemann problem for a prototype 2�2 system of non-strictly hyperbolic conservation laws

Michael Shearer

Archive for Rational Mechanics and Analysis, 1987

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Compactness Methods and Nonlinear Hyperbolic Conservation Laws

Gui-Qiang G. Chen

2000

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Uniqueness of Weak Solutions to Systems of Conservation Laws

Alberto Bressan

Archive for Rational Mechanics and Analysis, 1997

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An entropy satisfying MUSCL scheme for systems of conservation laws

frederic Coquel

Numerische Mathematik, 1996

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Nonlinear Hyperbolic Conservation Laws

Rafael Sasportes

Partial Differential Equations in China, 1994

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On compactness estimates for hyperbolic systems of conservation laws

Khải Nguyễn

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2015

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On Convergence to Entropy Solutions of a Single Conservation Law

Stig-olof Londen, Bernardo Cockburn

Journal of Differential Equations, 1996

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Well-Posedness for a Class of Hyperbolic Systems of Conservation Laws in Several Space Dimensions

Camilo Lelis

Communications in Partial Differential Equations, 2005

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The Riemann problem for 2 × 2 systems of hyperbolic conservation laws with case I quadratic nonlinearities

Michael Shearer

Journal of Differential Equations, 1989

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