Solutions with concentration for conservation laws with discontinuous flux and its applications to numerical schemes for hyperbolic systems

Aekta Aggarwal; Manas Ranjan Sahoo; Abhrojyoti Sen; Ganesh Vaidya

doi:10.1111/sapm.12319

Solutions with concentration for conservation laws with discontinuous flux and its applications to numerical schemes for hyperbolic systems

Studies in Applied Mathematics ◽

10.1111/sapm.12319 ◽

2020 ◽

Vol 145 (2) ◽

pp. 247-290

Author(s):

Aekta Aggarwal ◽

Manas Ranjan Sahoo ◽

Abhrojyoti Sen ◽

Ganesh Vaidya

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Numerical Schemes ◽

Discontinuous Flux

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ON THE CONVERGENCE OF NUMERICAL SCHEMES FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS

Proceedings of the International Congress of Mathematicians (ICM 2018) ◽

10.1142/9789813272880_0195 ◽

2019 ◽

Author(s):

SIDDHARTHA MISHRA

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Numerical Schemes ◽

Systems Of Conservation Laws

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Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997328810 ◽

2000 ◽

Vol 37 (4) ◽

pp. 1246-1270 ◽

Cited By ~ 52

Author(s):

Giovanni Naldi ◽

Lorenzo Pareschi

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Numerical Schemes ◽

Systems Of Conservation Laws ◽

Diffusive Relaxation

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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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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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Conservation laws with discontinuous flux functions and boundary condition

Nonlinear Evolution Equations and Related Topics ◽

10.1007/978-3-0348-7924-8_15 ◽

2003 ◽

pp. 283-301 ◽

Cited By ~ 1

Author(s):

José Carrillo

Keyword(s):

Boundary Condition ◽

Conservation Laws ◽

Discontinuous Flux

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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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Convergence of Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_72 ◽

2010 ◽

pp. 675-682 ◽

Cited By ~ 1

Author(s):

M. L. Muñoz-Ruiz ◽

C. Parés ◽

M. J. Castro Díaz

Keyword(s):

Hyperbolic Systems ◽

Balance Laws ◽

Numerical Schemes ◽

Systems Of Balance Laws

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An Easy Control of the Artificial Numerical Viscosity to Get Discrete Entropy Inequalities When Approximating Hyperbolic Systems of Conservation Laws

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ◽

10.1007/978-3-030-38870-6_5 ◽

2020 ◽

pp. 29-36

Author(s):

Christophe Berthon ◽

Arnaud Duran ◽

Khaled Saleh

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Numerical Viscosity ◽

Systems Of Conservation Laws ◽

Entropy Inequalities

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Global solutions of hyperbolic systems of conservation laws in two dependent variables

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1968-12082-8 ◽

1968 ◽

Vol 74 (5) ◽

pp. 915-919 ◽

Cited By ~ 4

Author(s):

J. L. Johnson ◽

J. A. Smoller

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Global Solutions ◽

Dependent Variables ◽

Systems Of Conservation Laws

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Supplement to Numerical Schemes for Conservation Laws via Hamilton-Jacobi Equations

Mathematics of Computation ◽

10.2307/2153472 ◽

1995 ◽

Vol 64 (210) ◽

pp. S13

Author(s):

L. Corrias ◽

M. Falcone ◽

R. Natalini

Keyword(s):

Conservation Laws ◽

Numerical Schemes ◽

Jacobi Equations

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