Blow-up of periodic solutions to linearly degenerate quasilinear hyperbolic systems

DOI10.1016/j.na.2012.07.027zbMath1252.35190OpenAlexW2086499995MaRDI QIDQ714477

Peng Qu

Publication date: 11 October 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.07.027

zbMATH Keywords

periodic initial datafinite-time blow-upperiodicity in spacelinear degeneracy

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial value problems for first-order hyperbolic systems (35L45) Degenerate hyperbolic equations (35L80) Blow-up in context of PDEs (35B44)

Cites Work

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• Mechanism of the formation of singularities for quasilinear hyperbolic systems with linearly degenerate characteristic fields
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• Some properties of periodic B-spline collocation matrices
• Blow-up for hyperbolic systems in diagonal form

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