Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three
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Publication:5859101
DOI10.1063/5.0045062zbMath1461.81029arXiv2101.11100OpenAlexW3146987603MaRDI QIDQ5859101
Andrea R. Nahmod, Yu Deng, Haitian Yue
Publication date: 15 April 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.11100
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical thermodynamics (82B30)
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Cites Work
- Unnamed Item
- A theory of regularity structures
- Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball I: the 2D case
- Invariant Gibbs measures for the 2-\(d\) defocusing nonlinear wave equations
- Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
- Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids
- Random data Cauchy theory for supercritical wave equations. II. A global existence result
- Invariant measures for the defocusing nonlinear Schrödinger equation
- Periodic nonlinear Schrödinger equation and invariant measures
- Invariant measures for the Gross-Pitaevskii equation
- Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\)
- Two-dimensional Navier-Stokes equations driven by a space-time white noise
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- Statistical mechanics of the nonlinear Schrödinger equation.
- Optimal local well-posedness for the periodic derivative nonlinear Schrödinger equation
- 2D-defocusing nonlinear Schrödinger equation with random data on irrational tori
- Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity. I: measures
- Random tensors, propagation of randomness, and nonlinear dispersive equations
- A variational method for \(\Phi^4_3\)
- A Pedestrian approach to the invariant Gibbs measures for the 2-\(d\) defocusing nonlinear Schrödinger equations
- Invariant measures for the nonlinear Schrödinger equation on the disc
- Almost sure global well-posedness for the radial nonlinear Schrödinger equation on the unit ball. II: the 3D case
- Construction of quantum fields from Markoff fields
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Almost Sure Local Well-Posedness for a Derivative Nonlinear Wave Equation
- Remarks on the Gibbs measures for nonlinear dispersive equations
