On the lifespan and the blowup mechanism of smooth solutions to a class of 2-D nonlinear wave equations with small initial data

DOI10.1090/qam/1410zbMath1343.35040arXiv1210.7980OpenAlexW1809995537MaRDI QIDQ2788686

Yin Huicheng, Ingo Witt, Ding Bingbing

Publication date: 22 February 2016

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7980

zbMATH Keywords

Nash-Moser-Hörmander iterationcompressible fluid dynamicsKlainerman fields

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Related Items

Stable shock formation for nearly simple outgoing plane symmetric waves, Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations, Blowup time and blowup mechanism of small data solutions to general 2-D quasilinear wave equations

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