Quasi-periodic solutions of nonlinear wave equations on the \(d\)-dimensional torus

DOI10.4171/211zbMath1454.37003arXiv1906.06767OpenAlexW3008686246MaRDI QIDQ2208796

Massimiliano Berti, Philippe Bolle

Publication date: 4 November 2020

Published in: EMS Monographs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.06767

zbMATH Keywords

KAM theoryHamiltonian dynamicsNash-Moser theoryHamiltonian PDEsreduction techniques

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Partial differential equations of mathematical physics and other areas of application (35Qxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx)

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About linearization of infinite-dimensional Hamiltonian systems ⋮ Time quasi-periodic vortex patches of Euler equation in the plane ⋮ Stability and recursive solutions in Hamiltonian PDEs ⋮ Quasi-periodic solutions to the incompressible Euler equations in dimensions two and higher ⋮ Linearly stable KAM tori for one dimensional forced Kirchhoff equations with refined Töplitz-Lipschitz property ⋮ On the analyticity of the Dirichlet-Neumann operator and Stokes waves ⋮ Local well posedness of the Euler-Korteweg equations on \({{\mathbb{T}}^d} \) ⋮ Diophantine approximation as cosmic censor for Kerr-AdS black holes

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