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Quasi-periodic incompressible Euler flows in 3D (Q2237366)

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Language	Label	Description	Also known as
English	Quasi-periodic incompressible Euler flows in 3D	scientific article

Statements

scholarly article

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Quasi-periodic incompressible Euler flows in 3D (English)

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Riccardo Montalto

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Advances in Mathematics

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publication date

27 October 2021

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full work available at URL

https://arxiv.org/abs/2003.14313

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zbMATH Keywords

fluid dynamics

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Euler equation

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vorticity formulation

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KAM theory for PDEs

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quasi-periodic solutions

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MaRDI profile type

MaRDI publication profile

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Gravity capillary standing water waves

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Periodic solutions of fully nonlinear autonomous equations of Benjamin-Ono type

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Time quasi-periodic gravity water waves in finite depth

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KAM for autonomous quasi-linear perturbations of mKdV

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Controllability of quasi-linear Hamiltonian NLS equations

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Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II

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Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I

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Growth of Sobolev norms for abstract linear Schrödinger equations

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Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation

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Reducibility of non-resonant transport equation on \({\mathbb {T}}^d\) with unbounded perturbations

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Remarks on the breakdown of smooth solutions for the 3-D Euler equations

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Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential

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Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential

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An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds

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Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves

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Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations

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Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces

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Onsager's Conjecture for Admissible Weak Solutions

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Newton's method and periodic solutions of nonlinear wave equations

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On the Euler equations of incompressible fluids

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Quasi-periodic solutions for the forced Kirchhoff equation on $ \newcommand{\m}{\mu} \newcommand{\T}{\mathbb T} \T^d$

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Quasi-periodic solutions of the 2D Euler equation

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The Euler equations as a differential inclusion

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Finite-time singularity formation for \(C^{1,\alpha}\) solutions to the incompressible Euler equations on \(\mathbb{R}^3\)

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On reducibility of Schrödinger equations with quasiperiodic in time potentials

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Reducibility of Schrödinger equation on a Zoll manifold with unbounded potential

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Reducibility of first order linear operators on tori via Moser's theorem

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Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations

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Standing waves on an infinitely deep perfect fluid under gravity

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Nonstationary flows of viscous and ideal fluids in \(R^3\)

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The Cauchy problem for quasi-linear symmetric hyperbolic systems

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KAM theory and the 3D Euler equation

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Global, local and dense non-mixing of the 3D Euler equation

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Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum

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A Reducibility Result for a Class of Linear Wave Equations on ${\mathbb T}^d$

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A nonlinear Hamiltonian structure for the Euler equations

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Reducible quasi-periodic solutions for the non linear Schrödinger equation

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Invariant tori in non-degenerate nearly integrable Hamiltonian systems

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Weak solutions with decreasing energy of incompressible Euler equations

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Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory

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Identifiers

zbMATH Open document ID

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10.1016/j.aim.2021.107730

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2237366

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