Asymptotics of a solution of a three-dimensional nonlinear wave equation near a butterfly catastrophe point

DOI10.1134/S0081543818050061zbMath1400.35019OpenAlexW2886649383MaRDI QIDQ1800517

O. Yu. Khachai

Publication date: 24 October 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818050061

zbMATH Keywords

numerical methodsmatched asymptotic expansionsshock layerstep-like contrast structureformal asymptotic expansion

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• On two special functions related to fold singularities
• ON SOME NUMERICAL INTEGRATION CURVES FOR PDE IN NEIGHBORHOOD OF "BUTTERFLY" CATASTROPHE POINT
• Birth of step-like contrast structures connected with a cusp catastrophe
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