On the critical behavior in nonlinear evolutionary PDEs with small viscosity

DOI10.1134/S106192081204005XzbMath1263.35019arXiv1301.7216OpenAlexW2031299197MaRDI QIDQ1945601

M. S. Elaeva, B. A. Dubrovin

Publication date: 8 April 2013

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7216

zbMATH Keywords

one space dimensionPearcey functiongradient catastrophegeneral dissipative regularizationquasilinear transport equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25)

Related Items (14)

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Uses Software

• FreeFem++

Cites Work

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• Geometry of the string equations
• Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach
• On quasi-triviality and integrability of a class of scalar evolutionary PDEs
• On Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour
• Numerical Study of Breakup in Generalized Korteweg–de Vries and Kawahara Equations

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