Singular Stochastic Dispersive Dynamics

Información del proyecto

SingStocDispDyn

Identificador del acuerdo de subvención: 864138

DOI

10.3030/864138

Fecha de la firma de la CE 15 Enero 2020

Fecha de inicio 1 Marzo 2020

Fecha de finalización 28 Febrero 2026

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total

€ 1 920 968,00

Aportación de la UE

€ 1 920 968,00

Coordinado por

THE UNIVERSITY OF EDINBURGH
United Kingdom

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Publicaciones

Other (25)

Sharp quasi-invariance threshold for the cubic Szegő equation

Autores: James Coe, Leonardo Tolomeo
Publicado en: 2024
Editor: arXiv

On the inviscid limit of the singular stochastic complex Ginzburg-Landau equation at statistical equilibrium

Autores: Younes Zine
Publicado en: 2022
Editor: arXiv

Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity $\overline{u}^2$ in negative Sobolev spaces

Autores: Ruoyuan Liu
Publicado en: 2022
Editor: arXiv

Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity

Autores: Ilya Chevyrev, Tadahiro Oh, Yuzhao Wang
Publicado en: 2022
Editor: arXiv

Norm inflation for the derivative nonlinear Schrödinger equation

Autores: Yuzhao Wang, Younes Zine
Publicado en: 2022
Editor: arXiv

Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space

Autores: Arnaud Debussche, Ruoyuan Liu, Nikolay Tzvetkov, Nicola Visciglia
Publicado en: 2023
Editor: arXiv

Norm inflation with infinite loss of regularity for the generalized improved Boussinesq equation

Autores: Pierre de Roubin
Publicado en: 2023
Editor: arXiv

Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus

Autores: Andreia Chapouto, Guopeng Li, Ruoyuan Liu
Publicado en: 2023
Editor: arXiv

Global well-posedness of one-dimensional cubic fractional nonlinear Schrödinger equations in negative Sobolev spaces

Autores: Enguerrand Brun, Guopeng Li, Ruoyuan Liu, Younes Zine
Publicado en: 2023
Editor: arXiv

Stochastic quantization of the Φ^3_3-model

Autores: Tadahiro Oh, Mamoru Okamoto, Leonardo Tolomeo
Publicado en: 2021
Editor: arXiv

Invariant measures for the periodic KdV and mKdV equations using complete integrability

Autores: Andreia Chapouto, Justin Forlano
Publicado en: 2023
Editor: arXiv

Hyperbolic P(Φ)_2-model on the plane

Autores: Tadahiro Oh, Leonardo Tolomeo, Yuzhao Wang, Guangqu Zheng
Publicado en: 2022
Editor: arXiv

Existence, uniqueness, and universality of global dynamics for the fractional hyperbolic Φ^4_3-model

Autores: Ruoyuan Liu, Nikolay Tzvetkov, Yuzhao Wang
Publicado en: 2023
Editor: arXiv

A note on products of stochastic objects

Autores: Tadahiro Oh, Younes Zine
Publicado en: Kyoto Journal of Mathematics, 2022, ISSN 2156-2261
Editor: Duke University Press

Quasi-invariance of Gaussian measures of negative regularity for fractional nonlinear Schrödinger equations

Autores: Justin Forlano, Leonardo Tolomeo
Publicado en: 2022
Editor: arXiv

Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation

Autores: Guopeng Li, Liying Tao, Tengfei Zhao
Publicado en: 2024
Editor: arXiv

Stochastic quantization of Liouville conformal field theory

Autores: Tadahiro Oh, Tristan Robert, Nikolay Tzvetkov, Yuzhao Wang
Publicado en: 2020
Editor: arXiv

Invariant measures for mKdV and KdV in infinite volume

Autores: Justin Forlano, Rowan Killip, Monica Visan
Publicado en: 2024
Editor: arXiv

Smoluchowski-Kramers approximation for the singular stochastic wave equations in two dimensions

Autores: Younes Zine
Publicado en: 2022
Editor: arXiv

Optimal divergence rate of the focusing Gibbs measure

Autores: Guopeng Li, Rui Liang, Yuzhao Wang
Publicado en: 2023
Editor: arXiv

Compact T(1) theorem à la Stein

Autores: Árpád Bényi, Guopeng Li, Tadahiro Oh, Rodolfo H. Torres
Publicado en: 2024
Editor: arXiv

On the deep-water and shallow-water limits of the intermediate long wave equation from a statistical viewpoint

Autores: Guopeng Li, Tadahiro Oh, Guangqu Zheng
Publicado en: 2022
Editor: arXiv

Focusing Φ^4_3-model with a Hartree-type nonlinearity

Autores: Tadahiro Oh, Mamoru Okamoto, Leonardo Tolomeo
Publicado en: Memoir of the American Mathematical Society, 2021, ISSN 1947-6221
Editor: American Mathematicakl Society

Global well-posedness of the energy-critical stochastic nonlinear Schrödinger equation on the three-dimensional torus

Autores: Guopeng Li, Mamoru Okamoto, Liying Tao
Publicado en: 2024
Editor: arXiv

Quasi-invariance of the Gaussian measure for the two-dimensional stochastic cubic nonlinear wave equation

Autores: Justin Forlano, Leonardo Tolomeo
Publicado en: 2024
Editor: arXiv

Peer reviewed articles (35)

A remark on randomization of a general function of negative regularity

Autores: Tadahiro Oh, Mamoru Okamoto, Oana Pocovnicu, Nikolay Tzvetkov
Publicado en: Proceedings of the American Mathematical Society, Series B, Edición 11, 2024, Página(s) 538-554, ISSN 2330-1511
Editor: American Mathematical Society
DOI: 10.1090/bproc/241

Global well-posedness of the two-dimensional stochastic viscous nonlinear wave equations

Autores: Ruoyuan Liu
Publicado en: Stochastics and Partial Differential Equations: Analysis and Computations, Edición 12, 2024, Página(s) 898-931, ISSN 2194-0401
Editor: Springer
DOI: 10.1007/s40072-023-00297-7

Global Dynamics for the Two-dimensional Stochastic Nonlinear Wave Equations

Autores: Massimiliano Gubinelli, Herbert Koch, Tadahiro Oh, Leonardo Tolomeo
Publicado en: International Mathematics Research Notices, 2021, ISSN 1073-7928
Editor: Oxford University Press
DOI: 10.1093/imrn/rnab084

On global well-posedness of the modified KdV equation in modulation spaces

Autores: Tadahiro Oh, Yuzhao Wang
Publicado en: Discrete & Continuous Dynamical Systems, Edición 41/6, 2021, Página(s) 2971, ISSN 1553-5231
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/dcds.2020393

Discrete bilinear operators and commutators

Autores: Árpád Bényi, Tadahiro Oh
Publicado en: The Journal of Geometric Analysis, Edición 33, 2023, ISSN 1559-002X
Editor: Springer
DOI: 10.1007/s12220-022-01136-2

Almost conservation laws for stochastic nonlinear Schrödinger equations

Autores: Kelvin Cheung, Guopeng Li, Tadahiro Oh
Publicado en: Journal of Evolution Equations, Edición 21/2, 2021, Página(s) 1865-1894, ISSN 1424-3199
Editor: Birkhauser Verlag
DOI: 10.1007/s00028-020-00659-x

On the two-dimensional hyperbolic stochastic sine-Gordon equation

Autores: Tadahiro Oh, Tristan Robert, Philippe Sosoe, Yuzhao Wang
Publicado en: Stochastics and Partial Differential Equations: Analysis and Computations, Edición 9/1, 2021, Página(s) 1-32, ISSN 2194-0401
Editor: Springer Verlag
DOI: 10.1007/s40072-020-00165-8

Fractional Leibniz rule on the torus

Autores: Árpád Bényi, Tadahiro Oh, Tengfei Zhao
Publicado en: Proceedings of the American Mathematical Society, Edición 153, 2024, Página(s) 207-221, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/17007

Intermediate long wave equation in negative Sobolev spaces

Autores: Andreia Chapouto, Justin Forlano, Guopeng Li, Tadahiro Oh, Didier Pilod
Publicado en: Proceedings of the American Mathematical Society, Series B, Edición 11, 2024, Página(s) 452-468, ISSN 2330-1511
Editor: American Mathematica Society
DOI: 10.1090/bproc/206

Global well-posedness of the energy-critical stochastic nonlinear wave equations

Autores: Enguerrand Brun, Guopeng Li, Ruoyuan Liu
Publicado en: Journal of Differential Equations, Edición 397, 2024, Página(s) 316-348, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2024.03.032

Global dynamics for the stochastic KdV equation with white noise as initial data

Autores: Tadahiro Oh, Jeremy Quastel, Philippe Sosoe
Publicado en: Transactions of the American Mathematical Society, Series B, Edición 11, 2024, Página(s) 420-460, ISSN 2330-0000
Editor: American Mathematical Society
DOI: 10.1090/btran/178

Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise

Autores: Tadahiro Oh, Yuzhao Wang, Younes Zine
Publicado en: Stochastics and Partial Differential Equations: Analysis and Computations volume, Edición 21940401, 2022, ISSN 2194-0401
Editor: Springer
DOI: 10.1007/s40072-022-00237-x

Compact bilinear operators and paraproducts revisited

Autores: Árpád Bényi, Guopeng Li, Tadahiro Oh, Rodolfo H. Torres
Publicado en: Canadian Mathematical Bulletin, Edición 68, 2025, Página(s) 44-59, ISSN 0008-4395
Editor: Canadian Mathematical Society
DOI: 10.4153/s000843952400047x

Invariant Gibbs dynamics for the dynamical sine-Gordon model

Autores: Tadahiro Oh, Tristan Robert, Philippe Sosoe, Yuzhao Wang
Publicado en: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Edición 151/5, 2021, Página(s) 1450-1466, ISSN 0308-2105
Editor: The RSE Scotland Foundation
DOI: 10.1017/prm.2020.68

Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction

Autores: Jeffrey Kuan, Tadahiro Oh, Sunčica Čanić
Publicado en: Applicable Analysis, Edición 00036811, 2022, ISSN 0003-6811
Editor: Taylor & Francis
DOI: 10.1080/00036811.2022.2103682

On the probabilistic well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with the quadratic nonlinearity |u|^2

Autores: Ruoyuan Liu
Publicado en: Journal de Mathématiques Pures et Appliquées, Edición 171, 2023, Página(s) 75-101, ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.1016/j.matpur.2022.12.010

Comparing the stochastic nonlinear wave and heat equations: a case study

Autores: Tadahiro Oh, Mamoru Okamoto
Publicado en: Electronic Journal of Probability, Edición 26/none, 2021, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/20-ejp575

Solving the 4NLS with white noise initial data

Autores: Tadahiro Oh, Nikolay Tzvetkov, Yuzhao Wang
Publicado en: Forum of Mathematics, Sigma, Edición 8, 2020, ISSN 2050-5094
Editor: Cambridge University Press
DOI: 10.1017/fms.2020.51

On the Parabolic and Hyperbolic Liouville Equations

Autores: Tadahiro Oh, Tristan Robert, Yuzhao Wang
Publicado en: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-021-04125-8

Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus

Autores: Tadahiro Oh, Philippe Sosoe, Leonardo Tolomeo
Publicado en: Inventiones mathematicae, Edición 00209910, 2022, ISSN 0020-9910
Editor: Springer Verlag
DOI: 10.1007/s00222-021-01080-y

Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity

Autores: Massimiliano Gubinelli, Herbert Koch, Tadahiro Oh
Publicado en: Journal of the European Mathematical Society, 2023, ISSN 1435-9863
Editor: EMS Press
DOI: 10.4171/jems/1294

Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions

Autores: Trishen S. Gunaratnam, Tadahiro Oh, Nikolay Tzvetkov, Hendrik Weber
Publicado en: Probability and Mathematical Physics, Edición 26900998, 2022, ISSN 2690-0998
Editor: Mathematical Science Publishers
DOI: 10.2140/pmp.2022.3.343

A remark on triviality for the two-dimensional stochastic nonlinear wave equation

Autores: Tadahiro Oh, Mamoru Okamoto, Tristan Robert
Publicado en: Stochastic Processes and their Applications, Edición 130/9, 2020, Página(s) 5838-5864, ISSN 0304-4149
Editor: Elsevier BV
DOI: 10.1016/j.spa.2020.05.010

Stochastic nonlinear wave dynamics on compact surfaces

Autores: Tadahiro Oh, Tristan Robert, Nikolay Tzvetkov
Publicado en: Annales Henri Lebesgue, Edición 6, 2023, Página(s) 161-223, ISSN 2644-9463
Editor: École Normale Supérieure de Rennes
DOI: 10.5802/ahl.163

On the two-dimensional singular stochastic viscous nonlinear wave equations

Autores: Ruoyuan Liu, Tadahiro Oh
Publicado en: Comptes Rendus Mathématique, Edición 360, 2022, Página(s) 1227-1248, ISSN 1778-3569
Editor: Académie des sciences, Institut de France
DOI: 10.5802/crmath.377

Deep-water and shallow-water limits of the intermediate long wave equation

Autores: Guopeng Li
Publicado en: Nonlinearity, Edición 37, 2024, Página(s) 075001, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ad4843

On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing

Autores: Jingyu Huang, Tadahiro Oh, Mamoru Okamoto
Publicado en: Proceedings of the American Mathematical Society, Series B, Edición 11, 2024, Página(s) 378-389, ISSN 2330-1511
Editor: American Mathematical Society
DOI: 10.1090/bproc/226

Probabilistic local well-posedness of the cubic nonlinear wave equation in negative Sobolev spaces

Autores: Tadahiro Oh, Oana Pocovnicu, Nikolay Tzvetkov
Publicado en: Annales de l'Institut Fourier, Edición 03730956, 2022, ISSN 0373-0956
Editor: Association des Annales de I'Institut Fourier
DOI: 10.5802/aif.3454

Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces

Autores: Tadahiro Oh, Kihoon Seong
Publicado en: Journal of Functional Analysis, Edición 281/9, 2021, Página(s) 109150, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2021.109150

Sharp local well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with a quadratic nonlinearity $|u|^2$

Autores: Ruoyuan Liu, Tadahiro Oh
Publicado en: Mathematical Research Letters, Edición 31, 2024, Página(s) 255-277, ISSN 1073-2780
Editor: Mathematical Publishing
DOI: 10.4310/mrl.240904213416

Deep-water limit of the intermediate long wave equation in $L^2$

Autores: Andreia Chapouto, Guopeng Li, Tadahiro Oh, Didier Pilod
Publicado en: Mathematical Research Letters, Edición 31, 2025, Página(s) 1655-1692, ISSN 1073-2780
Editor: Mathematical Publishing
DOI: 10.4310/mrl.250210231602

Uniqueness and non-uniqueness of the Gaussian free field evolution under the two-dimensional Wick ordered cubic wave equation

Autores: Tadahiro Oh, Mamoru Okamoto, Nikolay Tzvetkov
Publicado en: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Edición 60, 2024, ISSN 0246-0203
Editor: Elsevier BV
DOI: 10.1214/23-aihp1380

A remark on Gibbs measures with log-correlated Gaussian fields

Autores: Tadahiro Oh, Kihoon Seong, Leonardo Tolomeo
Publicado en: Forum of Mathematics, Sigma, Edición 12, 2024, Página(s) 1-40, ISSN 2050-5094
Editor: Cambridge University Press
DOI: 10.1017/fms.2024.28

Norm inflation for the viscous nonlinear wave equation

Autores: Pierre de Roubin, Mamoru Okamoto
Publicado en: Nonlinear Differential Equations and Applications NoDEA, Edición 31, 2024, ISSN 1021-9722
Editor: Birkhauser Verlag
DOI: 10.1007/s00030-024-00944-5

Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations

Autores: Andreia Chapouto, Nobu Kishimoto
Publicado en: Transactions of the American Mathematical Society`, Edición 375, 2022, Página(s) 8483-8528, ISSN 0002-9947
Editor: American Mathematical Society
DOI: 10.1090/tran/8699

Non-peer reviewed articles (1)

Unconditional deep-water limit of the intermediate long wave equation in low-regularity

Autores: Justin Forlano, Guopeng Li, Tengfei Zhao
Publicado en: Nonlinear Differential Equations and Applications NoDEA, Edición 32, 2025, ISSN 1021-9722
Editor: Birkhauser Verlag
DOI: 10.1007/s00030-025-01037-7