Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory
From MaRDI portal
Publication:2670239
DOI10.1016/j.physd.2021.133148OpenAlexW3154104671MaRDI QIDQ2670239
Gigliola Staffilani, Matthew Rosenzweig
Publication date: 10 March 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.06907
Related Items
Wave turbulence and thermalization in one-dimensional chains ⋮ Feynman rules for forced wave turbulence ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ The structure of energy fluxes in wave turbulence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Gross-Pitaevskii hierarchy on general rectangular tori
- Focusing quantum many-body dynamics: the rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation
- On the Klainerman-Machedon conjecture for the quantum BBGKY hierarchy with self-interaction
- On self-similar solutions to a kinetic equation arising in weak turbulence theory for the nonlinear Schrödinger equation
- From Newton to Boltzmann: hard spheres and short-range potentials
- On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti
- Randomization and the Gross-Pitaevskii hierarchy
- Analytical approach to relaxation dynamics of condensed Bose gases
- Weakly nonlinear Schrödinger equation with random initial data
- The quintic NLS as the mean field limit of a boson gas with three-body interactions
- Wave turbulence.
- Asymptotics of resolvent integrals: The suppression of crossings for analytic lattice dispersion relations
- Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
- Uniqueness of solutions to the 3D quintic Gross-Pitaevskii hierarchy
- A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on \(\mathbb{T}^3\) from the dynamics of many-body quantum systems
- On the uniqueness of solutions to the Gross-Pitaevskii hierarchy
- On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies
- Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
- Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids
- Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum
- 4-wave dynamics in kinetic wave turbulence
- Joint statistics of amplitudes and phases in wave turbulence
- Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid
- Kinetic wave turbulence
- Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation
- Optimal local well-posedness theory for the kinetic wave equation
- On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type
- Linearized wave turbulence convergence results for three-wave systems
- On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy
- A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation
- The derivation of the \(\mathbb{T}^{3}\) energy-critical NLS from quantum many-body dynamics
- On the transfer of energy towards infinity in the theory of weak turbulence for the nonlinear Schrödinger equation
- Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in \(d=3\) based on spacetime norms
- From the \(N\)-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak coupling regime
- Rigorous derivation of the cubic NLS in dimension one
- Derivation in Strong Topology and Global Well-Posedness of Solutions to the Gross-Pitaevskii Hierarchy
- On the theory of Weak Turbulence for the Nonlinear Schrödinger Equation
- Unconditional Uniqueness of the cubic Gross--Pitaevskii Hierarchy with Low Regularity
- Unconditional Uniqueness for the Cubic Gross-Pitaevskii Hierarchy via Quantum de Finetti
- Wave turbulence in quantum fluids
- Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential
- Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics
- Wave Turbulence: A Story Far from Over
- Symmetric Measures on Cartesian Products
- A Remark on Stirling's Formula
- On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
- From global scaling, à la Kolmogorov, to local multifractal scaling in fully developed turbulence
- Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate
- On the Boltzmann Equation for Weakly Nonlinear Wave Equations
- On the Vlasov hierarchy
- Time evolution of large classical systems
- The Rigorous Derivation of the 2D Cubic Focusing NLS from Quantum Many-Body Evolution
- On the kinetic wave turbulence description for NLS
- On the non-linear energy transfer in a gravity-wave spectrum. Part 3. Evaluation of the energy flux and swell-sea interaction for a Neumann spectrum
- On the validity of the Boltzmann equation for short range potentials
- On the non-linear energy transfer in a gravity wave spectrum Part 2. Conservation theorems; wave-particle analogy; irrevesibility
- A Collective Description of Electron Interactions. I. Magnetic Interactions