Critical blow-up exponent for a doubly dispersive quasilinear wave equation

DOI10.1007/S00033-024-02296-7zbMATH Open1547.35118MaRDI QIDQ6597382

Mengyao Liu, Bingchen Liu

Publication date: 3 September 2024

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

critical exponentglobal existencequasilinear wave equationblow-up timedoubly dispersive terms

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Weak solutions to PDEs (35D30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order quasilinear hyperbolic equations (35L77)

Cites Work

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• On the asymptotic behaviour of solution for the generalized double dispersion equation
• FINITE TIME BLOW-UP FOR THE NONLINEAR FOURTH-ORDER DISPERSIVE-DISSIPATIVE WAVE EQUATION AT HIGH ENERGY LEVEL
• A symmetric regularized-long-wave equation
• Solitary-Wave Interactions in Elastic Rods
• Lifespan estimates and asymptotic stability for a class of fourth-order damped \(p\)-Laplacian wave equations with logarithmic nonlinearity
• Long-time behavior for fourth order nonlinear wave equations with dissipative and dispersive terms

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