Blowup of classical solutions for a class of 3-D quasilinear wave equations with small initial data.

zbMath1363.35253arXiv1303.4225MaRDI QIDQ499058

Bingbing Ding, Ingo Witt, Hui Cheng Yin

Publication date: 29 September 2015

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4225

zbMATH Keywords

blow-upclassical solutionquasilinear wave equationlifespan

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Hyperbolic conservation laws (35L65) Free boundary problems for PDEs (35R35) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72) Axially symmetric solutions to PDEs (35B07) Classical solutions to PDEs (35A09)

Related Items (7)

The small data solutions of general 3-D quasilinear wave equations. II. ⋮ The Small Data Solutions of General 3D Quasilinear Wave Equations. I ⋮ Small data solutions of 2-D quasilinear wave equations under null conditions ⋮ Small data solutions of 3-D quasilinear wave equations under null condition ⋮ Stable shock formation for nearly simple outgoing plane symmetric waves ⋮ Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮ On the curvature blow-up phenomena for the Fokas-Qiao-Xia-Li equation

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