On the existence and cusp singularity of solutions to semilinear generalized Tricomi equations with discontinuous initial data

DOI10.1142/S021919971450028XzbMath1329.35215arXiv1211.0334MaRDI QIDQ4983013

Hui Cheng Yin, Ingo Witt, Zhuo Ping Ruan

Publication date: 14 April 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0334

zbMATH Keywords

formation of singularitiesconormal regularity of solutionslocal in time Sobolev solutions

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80) Singularity in context of PDEs (35A21) Second-order semilinear hyperbolic equations (35L71)

Related Items (12)

Blow-up and lifespan estimate for generalized Tricomi equations related to Glassey conjecture ⋮ On the Strauss index of semilinear Tricomi equation ⋮ Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮ On semilinear Tricomi equations with critical exponents or in two space dimensions ⋮ Integral Transform Approach to Time-Dependent Partial Differential Equations ⋮ Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime ⋮ On the global weak solution problem of semilinear generalized Tricomi equations. II ⋮ On the existence of low regularity solutions to semilinear generalized Tricomi equations in mixed type domains ⋮ Minimal regularity solutions of semilinear generalized Tricomi equations ⋮ On the global solution problem for semilinear generalized Tricomi equations. I ⋮ On Sonic Curves of Smooth Subsonic-Sonic and Transonic Flows ⋮ Small data blow-up for the weakly coupled system of the generalized Tricomi equations with multiple propagation speeds

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