Almost sure existence of global solutions for general initial value problems

PDEs in connection with fluid mechanics (35Q35) Nonlinear differential equations in abstract spaces (34G20) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Transport equations (35Q49)

Cites Work

Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation
Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
Equations différentielles ordinaires: Non explosion et mesures quasi- invariantes
Invariant Gibbs measures for the 2-\(d\) defocusing nonlinear wave equations
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
Random data Cauchy theory for supercritical wave equations I: Local theory
Probabilistic representation and uniqueness results for measure-valued solutions of transport equations
On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions
Stochastic flows with stationary distribution for two-dimensional inviscid fluids
The two-dimensional Euler equation: A statistical study
Periodic nonlinear Schrödinger equation and invariant measures
Invariant measures for the Gross-Pitaevskii equation
Strong solutions to the stochastic quantization equations.
Global flows with invariant measures for the inviscid modified SQG equations
On uniqueness of measure-valued solutions to Liouville's equation of Hamiltonian PDEs
Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
Statistical mechanics of the nonlinear Schrödinger equation.
New examples of probabilistic well-posedness for nonlinear wave equations
Optimal local well-posedness for the periodic derivative nonlinear Schrödinger equation
2D-defocusing nonlinear Schrödinger equation with random data on irrational tori
On 2D Eulerian limits à la Kuksin
Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus
Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity. I: measures
Random tensors, propagation of randomness, and nonlinear dispersive equations
Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions
On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type
mSQG equations in distributional spaces and point vortex approximation
Randomness and nonlinear evolution equations
A Pedestrian approach to the invariant Gibbs measures for the 2-\(d\) defocusing nonlinear Schrödinger equations
Absolute continuity of Brownian bridges under certain gauge transformations
Lieb--Thirring type inequalities and Gagliardo--Nirenberg inequalities for systems
Vorticity and Incompressible Flow
Some remarks on the continuity equation
The Malliavin Calculus and Related Topics
Mathematical Problems of Statistical Hydromechanics
[https://portal.mardi4nfdi.de/wiki/Publication:4342735 Action-angle variables for the cubic Schr�dinger equation]
[https://portal.mardi4nfdi.de/wiki/Publication:4348828 Cubic Schr�dinger: The petit canonical ensemble in action-angle variables]
Remarks on the Gibbs measures for nonlinear dispersive equations
Weak vorticity formulation of 2D Euler equations with white noise initial condition
Ergodicity for Infinite Dimensional Systems
The Focusing Energy-Critical Nonlinear Wave Equation With Random Initial Data
Invariance of Gibbs measures under the flows of Hamiltonian equations on the real line
Young measure, superposition and transport
Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three
High energy asymptotics for the perturbed anharmonic oscillator
Exponential relaxation to equilibrium for a one-dimensional focusing non-linear Schrödinger equation with noise
Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs
Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item

This page was built for publication: Almost sure existence of global solutions for general initial value problems