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Long time behavior of solutions for a damped Benjamin-Ono equation (Q2069662)

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Language	Label	Description	Also known as
English	Long time behavior of solutions for a damped Benjamin-Ono equation	scientific article

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scholarly article

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Long time behavior of solutions for a damped Benjamin-Ono equation (English)

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Mathematische Zeitschrift

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publication date

21 January 2022

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full work available at URL

https://arxiv.org/abs/2010.05520

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zbMATH Keywords

Benjamin-Ono equation

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damping

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long-time behavior

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Birkhoff coordinates

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MaRDI profile type

MaRDI publication profile

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Existence and finite dimensionality of the global attractor for a class of nonlinear dissipative equations

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Lyapunov functions, identities and the Cauchy problem for the Hele-Shaw equation

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

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Internal waves of permanent form in fluids of great depth

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Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations

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KAM Theory for Partial Differential Equations

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Large-time asymptotics of the generalized Benjamin-Ono-Burgers equation

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Long time dynamics for damped Klein-Gordon equations

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The scattering transform for the Benjamin-Ono equation

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Invariance of the Gibbs measure for the Benjamin-Ono equation

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Invariant measures and long time behaviour for the Benjamin-Ono equation. III

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Temporal asymptotic behaviour of solutions of the Benjamin-Ono-Burgers equation

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The dissipation of nonlinear dispersive waves: the case of asymptotically weak nonlinearity

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The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems

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A nonlinear Fourier transform for the Benjamin-Ono equation on the torus and applications

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The cubic szego equation and hankel operators

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On a Damped Szegö Equation (With an Appendix in Collaboration With Christian Klein)

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On the Integrability of the <scp>Benjamin‐Ono</scp> Equation on the Torus

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On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus

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Decay of Benjamin-Ono solitons under the influence of dissipation

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The global attractor of the damped, forced generalized Korteweg de Vries-Benjamin-Ono equation in \(L^2\)

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Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation

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

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A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations

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Invariant tori for Benjamin-Ono equation with unbounded quasi-periodically forced perturbation

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Global well-posedness in <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> for the periodic Benjamin-Ono equation

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The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited

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Bäcklund Transform and Conservation Laws of the Benjamin-Ono Equation

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Algebraic Solitary Waves in Stratified Fluids

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Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE

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Complete integrability of the Benjamin-Ono equation on the multi-soliton manifolds

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Invariant measure and long time behavior of regular solutions of the Benjamin-Ono equation

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Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation

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Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation

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Invariant Measures and Long-Time Behavior for the Benjamin–Ono Equation

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Invariant measures and long time behaviour for the Benjamin-Ono equation. II.

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

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Simplicity and Finiteness of Discrete Spectrum of the Benjamin--Ono Scattering Operator

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Jost Solutions and the Direct Scattering Problem of the Benjamin--Ono Equation

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00209-021-02849-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:2069662

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