Global attractor for a one dimensional weakly damped half-wave equation
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Publication:2063967
DOI10.3934/dcdss.2020410zbMath1479.35124OpenAlexW3042600473MaRDI QIDQ2063967
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020410
Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Fractional partial differential equations (35R11)
Cites Work
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- Well-posedness and ill-posedness for the cubic fractional Schrödinger equations
- A fractional Moser-Trudinger type inequality in one dimension and its critical points.
- Hitchhiker's guide to the fractional Sobolev spaces
- Square roots of elliptic operators and Hardy spaces
- Remarks on some dispersive estimates
- A one-dimensional model for dispersive wave turbulence
- On fractional Schrödinger equations in Sobolev spaces
- On attractors of multivalued semi-flows and differential inclusions
- Infinite-dimensional dynamical systems in mechanics and physics.
- Fractional quantum mechanics and Lévy path integrals
- On blow-up solutions to the focusing mass-critical nonlinear fractional Schrödinger equation
- Finite dimensional global attractor for a fractional nonlinear Schrödinger equation
- Global attractor for the weakly damped driven Schrödinger equation in \(H^2 (\mathbb R)\)
- On critical cases of Sobolev's inequalities
- Effective integrable dynamics for a certain nonlinear wave equation
- Finite dimensional global attractor for a Bose-Einstein equation in a two dimensional unbounded domain
- First and second order approximations for a nonlinear wave equation
- Unbounded Sobolev trajectories and modified scattering theory for a wave guide nonlinear Schrödinger equation
- Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications
- Critical and subcritical fractional Trudinger-Moser-type inequalities on \(\mathbb{R}\)
- Nondispersive solutions to the \(L ^{2}\)-critical half-wave equation
- Regularity of the attractor for a Bose-Einstein equation in a two dimensional unbounded domain
- RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES
- Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation
- The cubic Szegő equation
- Mean field dynamics of boson stars
- A note on limiting cases of sobolev embeddings and convolution inequalities
- Nonlinear Schrödinger evolution equations
- Spectral bifurcations in dispersive wave turbulence
- Ill-Posedness of the Cubic Nonlinear Half-Wave Equation and Other Fractional NLS on the Real Line
- The cubic szego equation and hankel operators
- Finite‐dimensional global attractor for a semi‐discrete fractional nonlinear Schrödinger equation
- Attractors of partial differential evolution equations in an unbounded domain
- Compact attractors for evolution problems without uniqueness
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