Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter

DOI10.1111/j.1467-9590.2012.00563.xzbMath1308.35275arXiv1205.6508OpenAlexW1550787307MaRDI QIDQ4917508

B. G. Konopelchenko, Giovanni Ortenzi

Publication date: 30 April 2013

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6508

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

Asymptotic problem for second-order ordinary differential equation with nonlinearity corresponding to a butterfly catastrophe ⋮ On the plane into plane mappings of hydrodynamic type. Parabolic case ⋮ Inheritance of generic singularities of solutions of a linear wave equation by solutions of isoentropic gas motion equations ⋮ Unnamed Item ⋮ Jordan form, parabolicity and other features of change of type transition for hydrodynamic type systems ⋮ Critical behavior for scalar nonlinear waves ⋮ Exact solutions of the Hirota equation and vortex filaments motion

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