Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations (Q5854661)

scientific article; zbMATH DE number 7324176

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English	Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations	scientific article; zbMATH DE number 7324176

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instance of

scholarly article

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title

Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations (English)

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published in

Communications in Partial Differential Equations

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publication date

17 March 2021

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full work available at URL

https://arxiv.org/abs/2002.07352

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zbMATH Keywords

random initial data

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stability of the ODE-blowup

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probabilistic Strichartz estimates

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similarity coordinates

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author

Bjoern Bringmann

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MaRDI profile type

MaRDI publication profile

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cites work

The Large Scale Structure of Space-Time

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Blowup stability at optimal regularity for the critical wave equation

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Stable blow up dynamics for energy supercritical wave equations

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Slow blow-up solutions for the $H^1(\mathbb R^3)$ critical focusing semilinear wave equation

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Determination of the blow-up rate for the semilinear wave equation

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Determination of the blow-up rate for a critical semilinear wave equation

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Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension

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Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation

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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

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

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A center-stable manifold for the energy-critical wave equation in ℝ<sup>3</sup> in the symmetric setting

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Center-stable manifold of the ground state in the energy space for the critical wave equation

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Soliton resolution along a sequence of times for the focusing energy critical wave equation

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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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Classification of the radial solutions of the focusing, energy-critical wave equation

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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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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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On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs

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Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3d ball

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Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions

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Probabilistic well-posedness for the cubic wave equation

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Invariant measure for the cubic wave equation on the unit ball of $\mathbb{R}^3$

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Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation

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Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data

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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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Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $\mathbb R^3$

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Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on $\mathbb R^d$, $d=4$ and $5$

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Almost sure scattering for the energy-critical NLS with radial data below H1(R4)

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On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities

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

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Random data final-state problem for the mass-subcritical NLS in $L^2$

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Some non-existence results for the semilinear Schrödinger equation without gauge invariance

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Two-dimensional Navier-Stokes equations driven by a space-time white noise

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High-Dimensional Probability

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The multiplier for the ball and radial functions

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Identifiers

zbMATH Open document ID

1459.35049

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DOI

10.1080/03605302.2020.1803356

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5854661