Large-Time Asymptotic Stability of Riemann Shocks of Scalar Balance Laws

DOI10.1137/18M1221795zbMath1435.35050arXiv1810.08481OpenAlexW2896079561WikidataQ114847147 ScholiaQ114847147MaRDI QIDQ5216771

Vincent Duchêne, Luis Miguel Rodrigues

Publication date: 20 February 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08481

zbMATH Keywords

asymptotic stabilityscalar balance lawsRiemann shocks

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Initial value problems for first-order hyperbolic equations (35L03) First-order hyperbolic equations (35L02)

Related Items (7)

Asymptotic stability of scalar multi-D inviscid shock waves ⋮ Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws ⋮ Convective-wave solutions of the Richard-Gavrilyuk model for inclined shallow-water flow ⋮ Stability of hydraulic shock profiles ⋮ Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws ⋮ Asymptotic stability of viscous shocks in the modular Burgers equation ⋮ Stability and instability in scalar balance laws: fronts and periodic waves

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