Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws

DOI10.1016/j.jmaa.2021.124929zbMath1459.35273OpenAlexW3118645269WikidataQ115570225 ScholiaQ115570225MaRDI QIDQ1998617

Shuichi Kawashima, Shuji Yoshikawa

Publication date: 7 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.124929

zbMATH Keywords

Cattaneo lawsmall data global existencequasilinear evolution equationstructure-preserving numerical method

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35) Discrete version of topics in analysis (39A12) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type
• Energy method for structure-preserving finite difference schemes and some properties of difference quotient
• Decay estimates for hyperbolic balance laws
• Viscous shock profile and singular limit for hyperbolic systems with Cattaneo's law
• Remarks on energy methods for structure-preserving finite difference schemes -- small data global existence and unconditional error estimate
• Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws
• Lectures on Nonlinear Evolution Equations
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND NONLINEAR EFFECTS FOR SOME HYPERBOLIC-ELLIPTIC SYSTEM

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