Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise

JOURNAL ARTICLE published December 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by National Science Foundation (DMS-1815873/1927258)

Authors: Annie Millet | Alex D. Rodriguez | Svetlana Roudenko | Kai Yang

A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations

JOURNAL ARTICLE published December 2022 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by NSFC (No. 11688101,11601482) | NSFC (11871337) | Shanghai Rising-Star Program (21QA1404500)

Authors: Chenjie Fan | Yiming Su | Deng Zhang

Covariance structure of parabolic stochastic partial differential equations

JOURNAL ARTICLE published June 2013 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: Annika Lang | Stig Larsson | Christoph Schwab

Stochastic maximal regularity for rough time-dependent problems

JOURNAL ARTICLE published December 2019 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Australian Research Council (FT130100607) | Nederlandse Organisatie voor Wetenschappelijk Onderzoek (639.032.427)

Authors: Pierre Portal | Mark Veraar

Non-uniqueness in law of three-dimensional Navier–Stokes equations diffused via a fractional Laplacian with power less than one half

JOURNAL ARTICLE published March 2024 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Kazuo Yamazaki

Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise

JOURNAL ARTICLE published March 2020 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Deutsche Forschungsgemeinschaft (CRC 1173) | The Royal Society (IE140328)

Authors: Zdzisław Brzeźniak | Fabian Hornung | Utpal Manna

Existence of invariant measures for the stochastic damped Schrödinger equation

JOURNAL ARTICLE published September 2017 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by National Science Foundation (DMS-1311943) | National Science Foundation (DMS-1615239,DMS-1109562)

Authors: Ibrahim Ekren | Igor Kukavica | Mohammed Ziane

Gaussian fluctuations from the 2D KPZ equation

JOURNAL ARTICLE published March 2020 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Division of Mathematical Sciences (1807748)

Authors: Yu Gu

On the convergence of stochastic transport equations to a deterministic parabolic one

JOURNAL ARTICLE published December 2020 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Lucio Galeati

Convergent numerical approximation of the stochastic total variation flow

JOURNAL ARTICLE published June 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Deutsche Forschungsgemeinschaft (CRC 1283)

Authors: L’ubomír Baňas | Michael Röckner | André Wilke

Estimates in $$L_{p}$$ for solutions of SPDEs with coefficients in Morrey classes

JOURNAL ARTICLE published December 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: N. V. Krylov

Correction to: Convergent numerical approximation of the stochastic total variation flow

JOURNAL ARTICLE published December 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Ĺubomír Baňas | Michael Röckner | André Wilke

An order approach to SPDEs with antimonotone terms

JOURNAL ARTICLE published December 2020 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Vienna Science and Technology Fund (MA14-009) | Austrian Science Fund (F 65,I 2375) | Austrian Science Fund (M 2876,P 32788)

Authors: Luca Scarpa | Ulisse Stefanelli

Correction to: Kernel-based collocation methods for Zakai equations

JOURNAL ARTICLE published March 2020 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Yumiharu Nakano

Intrusive and non-intrusive chaos approximation for a two-dimensional steady state Navier–Stokes system with random forcing

JOURNAL ARTICLE published June 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by air force office of scientific research (FA9550-21-1-0015) | army research office (W911N-16-1-0103,W911N-16-1-0103) | army research office (W911N-16-1-0103)

Authors: S. V. Lototsky | R. Mikulevicius | B. L. Rozovsky

Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians

JOURNAL ARTICLE published June 2022 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Guillaume Penent | Nicolas Privault

Numerical solutions of stochastic PDEs driven by arbitrary type of noise

JOURNAL ARTICLE published March 2019 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Army Research Office (W911NF-16-1-0103)

Authors: Tianheng Chen | Boris Rozovskii | Chi-Wang Shu

Global existence for the stochastic Navier–Stokes equations with small $$L^{p}$$ data

JOURNAL ARTICLE published March 2022 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by National Science Foundation (1907992)

Authors: Igor Kukavica | Fanhui Xu | Mohammed Ziane

An invariance principle for the stochastic heat equation

JOURNAL ARTICLE published December 2018 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Engineering and Physical Sciences Research Council (EP/N028457/1)

Authors: Mathew Joseph

Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions

JOURNAL ARTICLE published 9 October 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by FCT-Fundação para a Ciência e a Tecnologia, I.P. (projects UIDB/00297/2020 and UIDP/00297/2020)

Authors: Yassine Tahraoui | Fernanda Cipriano