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Randomness and nonlinear evolution equations - MaRDI portal

Randomness and nonlinear evolution equations (Q2311723)

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scientific article

Language	Label	Description	Also known as
English	Randomness and nonlinear evolution equations	scientific article

Statements

scholarly article

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Randomness and nonlinear evolution equations (English)

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Andrea R. Nahmod

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Gigliola Staffilani

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publication date

4 July 2019

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full work available at URL

https://hdl.handle.net/1721.1/125076

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zbMATH Keywords

probabilistic well-posedness

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Gibbs measure

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invariance

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MaRDI profile type

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Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids

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On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions

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Global existence and uniqueness of Schrödinger maps in dimensions \(d\geq 4\)

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Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces

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On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on \(\mathbb {R}^d\), \(d \geq 3\)

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Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS

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Periodic nonlinear Schrödinger equation and invariant measures

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Invariant measures for the 2D-defocusing nonlinear Schrödinger equation

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Anticipative Girsanov transformations

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Long time dynamics for the one dimensional non linear Schrödinger equation

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Random data Cauchy theory for supercritical wave equations I: Local theory

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Random data Cauchy theory for supercritical wave equations. II. A global existence result

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Transformations of Wiener integrals under translations

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Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)

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Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\)

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Characterization of large energy solutions of the equivariant wave map problem: I

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Characterization of large energy solutions of the equivariant wave map problem: II

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Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system

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Two-dimensional nonlinear Schrödinger equation with random radial data

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Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation

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Profiles of bounded radial solutions of the focusing, energy-critical wave equation

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Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case

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Nonlinear transformations on the Wiener space

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Random perturbation of PDEs and fluid dynamic models. École d'Été de Probabilités de Saint-Flour XL -- 2010

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Gevrey class regularity for the solutions of the Navier-Stokes equations

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Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise

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Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data

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Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\)

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The energy-critical defocusing NLS on \({\mathbb{T}}^{3}\)

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Nonlinear transformations of the canonical Gauss measure on Hilbert space and absolute continuity

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The Concentration-Compactness Rigidity Method for Critical Dispersive and Wave Equations

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Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

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Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

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Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions

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Variable coefficient Schrödinger flows for ultrahyperbolic operators

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Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

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The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

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Quadratic forms for the 1-D semilinear Schrödinger equation

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A bilinear estimate with applications to the KdV equation

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Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations

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On the ill-posedness of some canonical dispersive equations.

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The Cauchy problem for quasi-linear Schrödinger equations

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Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ<sup>3</sup>

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On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on \(\mathbb R^{3}\)

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Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS

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Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations

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Global flows with invariant measures for the inviscid modified SQG equations

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Absolute continuity of Brownian bridges under certain gauge transformations

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Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space

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A Pedestrian approach to the invariant Gibbs measures for the 2-\(d\) defocusing nonlinear Schrödinger equations

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Stochastic differential equations. An introduction with applications.

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KdV preserves white noise

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On nonlinear transformations of Gaussian measures

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Gibbs measure for the periodic derivative nonlinear Schrödinger equation

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Acta Mathematica Sinica, English Series

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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/S10114-019-8297-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:2311723

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