Stationary states of the cubic conformal flow on \(\mathbb{S}^3\)

DOI10.3934/DCDS.2020001zbMath1441.37082arXiv1807.00426OpenAlexW2980445325MaRDI QIDQ2281560

Dominika Hunik-Kostyra, Dmitry E. Pelinovsky, Piotr Bizoń

Publication date: 3 January 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00426

zbMATH Keywords

stationary statesvariational characterizationorbital stabilitylocal bifurcationconformal flow

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Normal forms for dynamical systems (37G05) PDEs in connection with relativity and gravitational theory (35Q75) Bifurcations in context of PDEs (35B32) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items (9)

Breathing modes, quartic nonlinearities and effective resonant systems ⋮ Solvable cubic resonant systems ⋮ Classification of traveling waves for a quadratic Szegö equation ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ A nonrelativistic limit for AdS perturbations ⋮ On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder ⋮ Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes ⋮ Melonic turbulence ⋮ Quantum resonant systems, integrable and chaotic

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• Solvable cubic resonant systems
• Classification of traveling waves for a quadratic Szegö equation
• Bifurcation from simple eigenvalues
• The cubic Szegő equation
• Ground State of the Conformal Flow on 𝕊³

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