Time quasi-periodic vortex patches of Euler equation in the plane

2023/05/23 by Massimiliano Berti, Zineb Hassainia, Nader Masmoudi · 11 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Magnetic confinement fusion research #Astro and Planetary Science

paper · doi:10.1007/s00222-023-01195-4

Citations

• Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
• KAM for Reversible Derivative Wave Equations
• Invariant Cantor Manifolds of Quasi-Periodic Oscillations for a Nonlinear Schrodinger Equation
• Fourier integral operators. II

Cited by

• Long time dynamics of space periodic water waves
• Two-Point Vortex Confinement in a simply connected domain
• Dynamics of Ideal Fluid Flows
• Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields
• Stability of Lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition
• Long-wave instability of periodic shear flows for the 2D Navier-Stokes equations
• Linearly Stable KAM Tori for One Dimensional Forced Kirchhoff Equations under Periodic Boundary Conditions
• Space Quasi-Periodic Steady Euler Flows Close to the Inviscid Couette Flow. [europepmc]
• A KAM Approach to the Inviscid Limit for the 2D Navier-Stokes Equations. [europepmc]
• Large Amplitude Quasi-Periodic Traveling Waves in Two Dimensional Forced Rotating Fluids. [europepmc]
• Long-Time Dynamics for the Kelvin-Helmholtz Equations Close to Circular Vortex Sheets. [europepmc]