Jordan form, parabolicity and other features of change of type transition for hydrodynamic type systems

DOI10.1088/1751-8121/aa6777zbMath1365.76320arXiv1510.02497OpenAlexW2964289940MaRDI QIDQ5272603

B. G. Konopelchenko, Giovanni Ortenzi

Publication date: 30 June 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02497

zbMATH Keywords

parabolic systemsHamiltonian hydrodynamic systemshyperbolic-elliptic transition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Liquid-gas two-phase flows, bubbly flows (76T10) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

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Parabolic regularization of the gradient catastrophes for the Burgers–Hopf equation and Jordan chain ⋮ On the plane into plane mappings of hydrodynamic type. Parabolic case ⋮ Hydrodynamic models and confinement effects by horizontal boundaries ⋮ Inheritance of generic singularities of solutions of a linear wave equation by solutions of isoentropic gas motion equations

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