Moderate deviations for systems of slow–fast stochastic reaction–diffusion equations

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

Research funded by Division of Mathematical Sciences (2107856,1550918) | Simons Foundation (672441)

Authors: Ioannis Gasteratos | Michael Salins | Konstantinos Spiliopoulos

Paracontrolled calculus for quasilinear singular PDEs

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

Authors: I. Bailleul | A. Mouzard

Particle system algorithm and chaos propagation related to non-conservative McKean type stochastic differential equations

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

Authors: Anthony Le Cavil | Nadia Oudjane | Francesco Russo

On classical solutions of linear stochastic integro-differential equations

JOURNAL ARTICLE published September 2016 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: James-Michael Leahy | Remigijus Mikulevičius

Mixing for the primitive equations under bounded non-degenerate noise

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

Authors: Pierre-Marie Boulvard

Local martingale solutions and pathwise uniqueness for the three-dimensional stochastic inviscid primitive equations

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

Research funded by Directorate for Mathematical and Physical Sciences (1953035) | University of California, Santa Barbara (Faculty Career Development Award,Research Assistance Program Award) | University of California, Santa Barbara (Early Career Faculty Acceleration funding)

Authors: Ruimeng Hu | Quyuan Lin

Invariant measure and large time dynamics of the cubic Klein–Gordon equation in 3D

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

Authors: Mouhamadou Sy

Large deviations principle for the invariant measures of the 2D stochastic Navier–Stokes equations with vanishing noise correlation

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

Research funded by National Science Foundation (DMS-1954299,DMS-1712934)

Authors: S. Cerrai | N. Paskal

A Bismut–Elworthy inequality for a Wasserstein diffusion on the circle

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

Authors: Victor Marx

Doubly nonlinear stochastic evolution equations II

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

Research funded by Austrian Science Fund (M2876,F65) | Austrian Science Fund (W1245,I4354) | Austrian Science Fund (P32788,I5149) | OeAD-GmbH (CZ 01/2021)

Authors: Luca Scarpa | Ulisse Stefanelli

Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities

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

Research funded by Alexander von Humboldt-Stiftung (None) | Deutsche Forschungsgemeinschaft (EXC 2075–390740016)

Authors: Yingting Miao | Christian Rohde | Hao Tang

Exponential integrators for nonlinear Schrödinger equations with white noise dispersion

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

Research funded by Vetenskapsrådet (2013-4562)

Authors: David Cohen | Guillaume Dujardin

A branching particle system approximation for solving partially observed stochastic optimal control problems via stochastic maximum principle

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

Research funded by National Natural Science Foundation of China (61925306,61821004,11831010,61873325) | National Natural Science Foundation of China (11831010) | Natural Science Foundation of Shandong Province (ZR2019ZD42,ZR2020ZD24) | National Key R &D Program of China (2022YFA1006102,2022YFA1006103)

Authors: Hexiang Wan | Guangchen Wang | Jie Xiong

Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two

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

Research funded by Division of Mathematical Sciences (2203007)

Authors: Ran Tao

Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on $$mathbb {T}^d$$, $$dge 3$$

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

Authors: Haitian Yue

Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations

JOURNAL ARTICLE published 28 November 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by European Research Council (948819)

Authors: Antonio Agresti

Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise

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

Research funded by Marsden Fund (18-UOO-143) | Vetenskapsrådet (2017-04274) | Hungarian Scientific Research Fund (131545) | Austrian Science Fund (P 28010)

Authors: K. Fahim | E. Hausenblas | M. Kovács

The cutoff phenomenon for the stochastic heat and wave equation subject to small Lévy noise

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

Research funded by Academy of Finland (Matter and Materials Profi4) | Facultad de Ciencias, Universidad de los Andes (NV-2019-84-1837 Proyecto de la Convocatoria 2020-2021: “Stochastic dynamics of systems perturbed with small Markovian noise with applications in biophysics, climatology and statistics”) | Finnish Centre of Excellence in Randomness and STructures (346306) | Academy project (339228)

Authors: Gerardo Barrera | Michael A. Högele | Juan Carlos Pardo

Lewy–Stampacchia’s inequality for a stochastic T-monotone obstacle problem

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

Authors: Yassine Tahraoui | Guy Vallet

Analysis of fully discrete mixed finite element scheme for stochastic Navier–Stokes equations with multiplicative noise

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

Research funded by NSF (11701498)

Authors: Hailong Qiu