Turbulent cascades for a family of damped Szegő equations
DOI10.1088/1361-6544/ac7e13zbMath1498.35023arXiv2111.05247OpenAlexW3214131641MaRDI QIDQ5103236
Sandrine Grellier, Zihui He, Patrick Gérard
Publication date: 23 September 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05247
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Almost and pseudo-almost periodic solutions to PDEs (35B15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Cites Work
- Unnamed Item
- Exponential growth of the vorticity gradient for the Euler equation on the torus
- Small scale creation for solutions of the incompressible two-dimensional Euler equation
- Explicit formula for the solution of the Szegö equation on the real line and applications
- Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
- A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line
- Effective integrable dynamics for a certain nonlinear wave equation
- Long time behavior of solutions for a damped Benjamin-Ono equation
- First and second order approximations for a nonlinear wave equation
- Large-time blowup for a perturbation of the cubic Szegő equation
- The cubic Szegő equation
- Optimal bounds for the growth of Sobolev norms of solutions of a quadratic Szegő equation
- Weighted model spaces and Schmidt subspaces of Hankel operators
- On a Damped Szegö Equation (With an Appendix in Collaboration With Christian Klein)
- The cubic szego equation and hankel operators
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