Singular Stochastic Dispersive Dynamics

Informazioni relative al progetto

SingStocDispDyn

ID dell’accordo di sovvenzione: 864138

DOI

10.3030/864138

Data della firma CE 15 Gennaio 2020

Data di avvio 1 Marzo 2020

Data di completamento 28 Febbraio 2026

Finanziato da

• EXCELLENT SCIENCE - European Research Council (ERC)

Costo totale

€ 1 920 968,00

Contributo UE

€ 1 920 968,00

Coordinato da

THE UNIVERSITY OF EDINBURGH
United Kingdom

CORDIS fornisce collegamenti ai risultati finali pubblici e alle pubblicazioni dei progetti ORIZZONTE.

I link ai risultati e alle pubblicazioni dei progetti del 7° PQ, così come i link ad alcuni tipi di risultati specifici come dataset e software, sono recuperati dinamicamente da .OpenAIRE .

Pubblicazioni

Other (25)

Sharp quasi-invariance threshold for the cubic Szegő equation

Autori: James Coe, Leonardo Tolomeo
Pubblicato in: 2024
Editore: arXiv

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

Autori: Younes Zine
Pubblicato in: 2022
Editore: arXiv

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

Autori: Ruoyuan Liu
Pubblicato in: 2022
Editore: arXiv

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

Autori: Ilya Chevyrev, Tadahiro Oh, Yuzhao Wang
Pubblicato in: 2022
Editore: arXiv

Norm inflation for the derivative nonlinear Schrödinger equation

Autori: Yuzhao Wang, Younes Zine
Pubblicato in: 2022
Editore: arXiv

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

Autori: Arnaud Debussche, Ruoyuan Liu, Nikolay Tzvetkov, Nicola Visciglia
Pubblicato in: 2023
Editore: arXiv

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

Autori: Pierre de Roubin
Pubblicato in: 2023
Editore: arXiv

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

Autori: Andreia Chapouto, Guopeng Li, Ruoyuan Liu
Pubblicato in: 2023
Editore: arXiv

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

Autori: Enguerrand Brun, Guopeng Li, Ruoyuan Liu, Younes Zine
Pubblicato in: 2023
Editore: arXiv

Stochastic quantization of the Φ^3_3-model

Autori: Tadahiro Oh, Mamoru Okamoto, Leonardo Tolomeo
Pubblicato in: 2021
Editore: arXiv

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

Autori: Andreia Chapouto, Justin Forlano
Pubblicato in: 2023
Editore: arXiv

Hyperbolic P(Φ)_2-model on the plane

Autori: Tadahiro Oh, Leonardo Tolomeo, Yuzhao Wang, Guangqu Zheng
Pubblicato in: 2022
Editore: arXiv

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

Autori: Ruoyuan Liu, Nikolay Tzvetkov, Yuzhao Wang
Pubblicato in: 2023
Editore: arXiv

A note on products of stochastic objects

Autori: Tadahiro Oh, Younes Zine
Pubblicato in: Kyoto Journal of Mathematics, 2022, ISSN 2156-2261
Editore: Duke University Press

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

Autori: Justin Forlano, Leonardo Tolomeo
Pubblicato in: 2022
Editore: arXiv

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

Autori: Guopeng Li, Liying Tao, Tengfei Zhao
Pubblicato in: 2024
Editore: arXiv

Stochastic quantization of Liouville conformal field theory

Autori: Tadahiro Oh, Tristan Robert, Nikolay Tzvetkov, Yuzhao Wang
Pubblicato in: 2020
Editore: arXiv

Invariant measures for mKdV and KdV in infinite volume

Autori: Justin Forlano, Rowan Killip, Monica Visan
Pubblicato in: 2024
Editore: arXiv

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

Autori: Younes Zine
Pubblicato in: 2022
Editore: arXiv

Optimal divergence rate of the focusing Gibbs measure

Autori: Guopeng Li, Rui Liang, Yuzhao Wang
Pubblicato in: 2023
Editore: arXiv

Compact T(1) theorem à la Stein

Autori: Árpád Bényi, Guopeng Li, Tadahiro Oh, Rodolfo H. Torres
Pubblicato in: 2024
Editore: arXiv

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

Autori: Guopeng Li, Tadahiro Oh, Guangqu Zheng
Pubblicato in: 2022
Editore: arXiv

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

Autori: Tadahiro Oh, Mamoru Okamoto, Leonardo Tolomeo
Pubblicato in: Memoir of the American Mathematical Society, 2021, ISSN 1947-6221
Editore: American Mathematicakl Society

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

Autori: Guopeng Li, Mamoru Okamoto, Liying Tao
Pubblicato in: 2024
Editore: arXiv

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

Autori: Justin Forlano, Leonardo Tolomeo
Pubblicato in: 2024
Editore: arXiv

Peer reviewed articles (35)

A remark on randomization of a general function of negative regularity

Autori: Tadahiro Oh, Mamoru Okamoto, Oana Pocovnicu, Nikolay Tzvetkov
Pubblicato in: Proceedings of the American Mathematical Society, Series B, Numero 11, 2024, Pagina/e 538-554, ISSN 2330-1511
Editore: American Mathematical Society
DOI: 10.1090/bproc/241

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

Autori: Ruoyuan Liu
Pubblicato in: Stochastics and Partial Differential Equations: Analysis and Computations, Numero 12, 2024, Pagina/e 898-931, ISSN 2194-0401
Editore: Springer
DOI: 10.1007/s40072-023-00297-7

Global Dynamics for the Two-dimensional Stochastic Nonlinear Wave Equations

Autori: Massimiliano Gubinelli, Herbert Koch, Tadahiro Oh, Leonardo Tolomeo
Pubblicato in: International Mathematics Research Notices, 2021, ISSN 1073-7928
Editore: Oxford University Press
DOI: 10.1093/imrn/rnab084

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

Autori: Tadahiro Oh, Yuzhao Wang
Pubblicato in: Discrete & Continuous Dynamical Systems, Numero 41/6, 2021, Pagina/e 2971, ISSN 1553-5231
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/dcds.2020393

Discrete bilinear operators and commutators

Autori: Árpád Bényi, Tadahiro Oh
Pubblicato in: The Journal of Geometric Analysis, Numero 33, 2023, ISSN 1559-002X
Editore: Springer
DOI: 10.1007/s12220-022-01136-2

Almost conservation laws for stochastic nonlinear Schrödinger equations

Autori: Kelvin Cheung, Guopeng Li, Tadahiro Oh
Pubblicato in: Journal of Evolution Equations, Numero 21/2, 2021, Pagina/e 1865-1894, ISSN 1424-3199
Editore: Birkhauser Verlag
DOI: 10.1007/s00028-020-00659-x

On the two-dimensional hyperbolic stochastic sine-Gordon equation

Autori: Tadahiro Oh, Tristan Robert, Philippe Sosoe, Yuzhao Wang
Pubblicato in: Stochastics and Partial Differential Equations: Analysis and Computations, Numero 9/1, 2021, Pagina/e 1-32, ISSN 2194-0401
Editore: Springer Verlag
DOI: 10.1007/s40072-020-00165-8

Fractional Leibniz rule on the torus

Autori: Árpád Bényi, Tadahiro Oh, Tengfei Zhao
Pubblicato in: Proceedings of the American Mathematical Society, Numero 153, 2024, Pagina/e 207-221, ISSN 0002-9939
Editore: American Mathematical Society
DOI: 10.1090/proc/17007

Intermediate long wave equation in negative Sobolev spaces

Autori: Andreia Chapouto, Justin Forlano, Guopeng Li, Tadahiro Oh, Didier Pilod
Pubblicato in: Proceedings of the American Mathematical Society, Series B, Numero 11, 2024, Pagina/e 452-468, ISSN 2330-1511
Editore: American Mathematica Society
DOI: 10.1090/bproc/206

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

Autori: Enguerrand Brun, Guopeng Li, Ruoyuan Liu
Pubblicato in: Journal of Differential Equations, Numero 397, 2024, Pagina/e 316-348, ISSN 0022-0396
Editore: Academic Press
DOI: 10.1016/j.jde.2024.03.032

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

Autori: Tadahiro Oh, Jeremy Quastel, Philippe Sosoe
Pubblicato in: Transactions of the American Mathematical Society, Series B, Numero 11, 2024, Pagina/e 420-460, ISSN 2330-0000
Editore: American Mathematical Society
DOI: 10.1090/btran/178

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

Autori: Tadahiro Oh, Yuzhao Wang, Younes Zine
Pubblicato in: Stochastics and Partial Differential Equations: Analysis and Computations volume, Numero 21940401, 2022, ISSN 2194-0401
Editore: Springer
DOI: 10.1007/s40072-022-00237-x

Compact bilinear operators and paraproducts revisited

Autori: Árpád Bényi, Guopeng Li, Tadahiro Oh, Rodolfo H. Torres
Pubblicato in: Canadian Mathematical Bulletin, Numero 68, 2025, Pagina/e 44-59, ISSN 0008-4395
Editore: Canadian Mathematical Society
DOI: 10.4153/s000843952400047x

Invariant Gibbs dynamics for the dynamical sine-Gordon model

Autori: Tadahiro Oh, Tristan Robert, Philippe Sosoe, Yuzhao Wang
Pubblicato in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Numero 151/5, 2021, Pagina/e 1450-1466, ISSN 0308-2105
Editore: The RSE Scotland Foundation
DOI: 10.1017/prm.2020.68

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

Autori: Jeffrey Kuan, Tadahiro Oh, Sunčica Čanić
Pubblicato in: Applicable Analysis, Numero 00036811, 2022, ISSN 0003-6811
Editore: 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

Autori: Ruoyuan Liu
Pubblicato in: Journal de Mathématiques Pures et Appliquées, Numero 171, 2023, Pagina/e 75-101, ISSN 0021-7824
Editore: Elsevier BV
DOI: 10.1016/j.matpur.2022.12.010

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

Autori: Tadahiro Oh, Mamoru Okamoto
Pubblicato in: Electronic Journal of Probability, Numero 26/none, 2021, ISSN 1083-6489
Editore: Institute of Mathematical Statistics
DOI: 10.1214/20-ejp575

Solving the 4NLS with white noise initial data

Autori: Tadahiro Oh, Nikolay Tzvetkov, Yuzhao Wang
Pubblicato in: Forum of Mathematics, Sigma, Numero 8, 2020, ISSN 2050-5094
Editore: Cambridge University Press
DOI: 10.1017/fms.2020.51

On the Parabolic and Hyperbolic Liouville Equations

Autori: Tadahiro Oh, Tristan Robert, Yuzhao Wang
Pubblicato in: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-021-04125-8

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

Autori: Tadahiro Oh, Philippe Sosoe, Leonardo Tolomeo
Pubblicato in: Inventiones mathematicae, Numero 00209910, 2022, ISSN 0020-9910
Editore: Springer Verlag
DOI: 10.1007/s00222-021-01080-y

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

Autori: Massimiliano Gubinelli, Herbert Koch, Tadahiro Oh
Pubblicato in: Journal of the European Mathematical Society, 2023, ISSN 1435-9863
Editore: EMS Press
DOI: 10.4171/jems/1294

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

Autori: Trishen S. Gunaratnam, Tadahiro Oh, Nikolay Tzvetkov, Hendrik Weber
Pubblicato in: Probability and Mathematical Physics, Numero 26900998, 2022, ISSN 2690-0998
Editore: Mathematical Science Publishers
DOI: 10.2140/pmp.2022.3.343

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

Autori: Tadahiro Oh, Mamoru Okamoto, Tristan Robert
Pubblicato in: Stochastic Processes and their Applications, Numero 130/9, 2020, Pagina/e 5838-5864, ISSN 0304-4149
Editore: Elsevier BV
DOI: 10.1016/j.spa.2020.05.010

Stochastic nonlinear wave dynamics on compact surfaces

Autori: Tadahiro Oh, Tristan Robert, Nikolay Tzvetkov
Pubblicato in: Annales Henri Lebesgue, Numero 6, 2023, Pagina/e 161-223, ISSN 2644-9463
Editore: École Normale Supérieure de Rennes
DOI: 10.5802/ahl.163

On the two-dimensional singular stochastic viscous nonlinear wave equations

Autori: Ruoyuan Liu, Tadahiro Oh
Pubblicato in: Comptes Rendus Mathématique, Numero 360, 2022, Pagina/e 1227-1248, ISSN 1778-3569
Editore: Académie des sciences, Institut de France
DOI: 10.5802/crmath.377

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

Autori: Guopeng Li
Pubblicato in: Nonlinearity, Numero 37, 2024, Pagina/e 075001, ISSN 0951-7715
Editore: 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

Autori: Jingyu Huang, Tadahiro Oh, Mamoru Okamoto
Pubblicato in: Proceedings of the American Mathematical Society, Series B, Numero 11, 2024, Pagina/e 378-389, ISSN 2330-1511
Editore: American Mathematical Society
DOI: 10.1090/bproc/226

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

Autori: Tadahiro Oh, Oana Pocovnicu, Nikolay Tzvetkov
Pubblicato in: Annales de l'Institut Fourier, Numero 03730956, 2022, ISSN 0373-0956
Editore: 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

Autori: Tadahiro Oh, Kihoon Seong
Pubblicato in: Journal of Functional Analysis, Numero 281/9, 2021, Pagina/e 109150, ISSN 0022-1236
Editore: 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 $|u|^2$

Autori: Ruoyuan Liu, Tadahiro Oh
Pubblicato in: Mathematical Research Letters, Numero 31, 2024, Pagina/e 255-277, ISSN 1073-2780
Editore: Mathematical Publishing
DOI: 10.4310/mrl.240904213416

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

Autori: Andreia Chapouto, Guopeng Li, Tadahiro Oh, Didier Pilod
Pubblicato in: Mathematical Research Letters, Numero 31, 2025, Pagina/e 1655-1692, ISSN 1073-2780
Editore: 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

Autori: Tadahiro Oh, Mamoru Okamoto, Nikolay Tzvetkov
Pubblicato in: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Numero 60, 2024, ISSN 0246-0203
Editore: Elsevier BV
DOI: 10.1214/23-aihp1380

A remark on Gibbs measures with log-correlated Gaussian fields

Autori: Tadahiro Oh, Kihoon Seong, Leonardo Tolomeo
Pubblicato in: Forum of Mathematics, Sigma, Numero 12, 2024, Pagina/e 1-40, ISSN 2050-5094
Editore: Cambridge University Press
DOI: 10.1017/fms.2024.28

Norm inflation for the viscous nonlinear wave equation

Autori: Pierre de Roubin, Mamoru Okamoto
Pubblicato in: Nonlinear Differential Equations and Applications NoDEA, Numero 31, 2024, ISSN 1021-9722
Editore: Birkhauser Verlag
DOI: 10.1007/s00030-024-00944-5

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

Autori: Andreia Chapouto, Nobu Kishimoto
Pubblicato in: Transactions of the American Mathematical Society`, Numero 375, 2022, Pagina/e 8483-8528, ISSN 0002-9947
Editore: 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

Autori: Justin Forlano, Guopeng Li, Tengfei Zhao
Pubblicato in: Nonlinear Differential Equations and Applications NoDEA, Numero 32, 2025, ISSN 1021-9722
Editore: Birkhauser Verlag
DOI: 10.1007/s00030-025-01037-7