Global entropy solutions of the general nonlinear hyperbolic balance laws with time-evolution flux and source

Methods and Applications of Analysis ◽

10.4310/maa.2012.v19.n1.a3 ◽

2012 ◽

Vol 19 (1) ◽

pp. 43-76

Author(s):

Shih-Wei Chou ◽

John M. Hong ◽

Ying-Chin Su

Keyword(s):

Time Evolution ◽

Entropy Solutions ◽

Balance Laws ◽

Hyperbolic Balance Laws

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Concentration of source terms in generalized Glimm scheme for global entropy solutions of nonlinear hyperbolic balance laws

Journal of Differential Equations ◽

10.1016/j.jde.2017.03.039 ◽

2017 ◽

Vol 263 (4) ◽

pp. 2051-2077

Author(s):

Shih-Wei Chou ◽

Ying-Chieh Lin

Keyword(s):

Entropy Solutions ◽

Balance Laws ◽

Source Terms ◽

Glimm Scheme ◽

Hyperbolic Balance Laws

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Global existence and strong trace property of entropy solutions by the source-concentration Glimm scheme for nonlinear hyperbolic balance laws

Methods and Applications of Analysis ◽

10.4310/maa.2019.v26.n4.a4 ◽

2019 ◽

Vol 26 (4) ◽

pp. 371-394

Author(s):

Shih-Wei Chou ◽

John M. Hong ◽

Ying-Chieh Lin

Keyword(s):

Global Existence ◽

Entropy Solutions ◽

Balance Laws ◽

Glimm Scheme ◽

Hyperbolic Balance Laws ◽

Trace Property ◽

Source Concentration

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Uniqueness of Solutions to Hyperbolic Balance Laws in Several Space Dimensions

Communications in Partial Differential Equations ◽

10.1080/03605308908820638 ◽

1989 ◽

Vol 14 (8-9) ◽

pp. 959-979 ◽

Author(s):

Hermano Frid

Keyword(s):

Balance Laws ◽

Uniqueness Of Solutions ◽

Hyperbolic Balance Laws

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Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem

Numerische Mathematik ◽

10.1007/s00211-007-0069-y ◽

2007 ◽

Vol 106 (3) ◽

pp. 369-425 ◽

Author(s):

Matania Ben-Artzi ◽

Jiequan Li

Keyword(s):

Riemann Problem ◽

Balance Laws ◽

Riemann Invariants ◽

Generalized Riemann Problem ◽

Hyperbolic Balance Laws

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Application: Oscillatory Profiles in Systems of Hyperbolic Balance Laws

Bifurcation without Parameters - Lecture Notes in Mathematics ◽

10.1007/978-3-319-10777-6_7 ◽

2014 ◽

pp. 49-54

Author(s):

Stefan Liebscher

Keyword(s):

Balance Laws ◽

Hyperbolic Balance Laws

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Analysis of the Zero Relaxation Limit of Hyperbolic Balance Laws with Random Initial Data

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/18m1226683 ◽

2019 ◽

Vol 7 (3) ◽

pp. 806-837

Author(s):

James M. Scott ◽

M. Paul Laiu ◽

Cory D. Hauck

Keyword(s):

Initial Data ◽

Balance Laws ◽

Random Initial Data ◽

Hyperbolic Balance Laws

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Optimality conditions for solutions to hyperbolic balance laws

Control Methods in PDE-Dynamical Systems - Contemporary Mathematics ◽

10.1090/conm/426/08187 ◽

2007 ◽

pp. 129-152 ◽

Author(s):

Alberto Bressan ◽

Wen Shen

Keyword(s):

Optimality Conditions ◽

Balance Laws ◽

Hyperbolic Balance Laws

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Finite volume schemes for hyperbolic balance laws with multiplicative noise

Applied Numerical Mathematics ◽

10.1016/j.apnum.2011.01.011 ◽

2012 ◽

Vol 62 (4) ◽

pp. 441-456 ◽

Author(s):

I. Kröker ◽

C. Rohde

Keyword(s):

Finite Volume ◽

Multiplicative Noise ◽

Balance Laws ◽

Finite Volume Schemes ◽

Hyperbolic Balance Laws

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Numerical Aspects of Parabolic Regularization for Resonant Hyperbolic Balance Laws

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-540-75712-2_70 ◽

2008 ◽

pp. 695-702

Author(s):

M. Kraft ◽

M. Lukáčcová-Medviďová

Keyword(s):

Balance Laws ◽

Hyperbolic Balance Laws

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A least‐squares finite element method based on the Helmholtz decomposition for hyperbolic balance laws

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22480 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1418-1445

Author(s):

Delyan Z. Kalchev ◽

Thomas A. Manteuffel

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Helmholtz Decomposition ◽

Balance Laws ◽

Hyperbolic Balance Laws ◽

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