Exponential convergence to the stationary measure for a class of 1D Lagrangian systems with random forcing

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

Authors: Alexandre Boritchev

Strong solutions to SPDEs with monotone drift in divergence form

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

Authors: Carlo Marinelli | Luca Scarpa

A K-rough path above the space-time fractional Brownian motion

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

Research funded by Simons Foundation (355480) | National Science Foundation (1952966)

Authors: Xia Chen | Aurélien Deya | Cheng Ouyang | Samy Tindel

Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure

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

Authors: Giuseppe Da Prato | Franco Flandoli | Michael Röckner

Berry–Esseen theorem and quantitative homogenization for the random conductance model with degenerate conductances

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

Authors: Sebastian Andres | Stefan Neukamm

Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs

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

Research funded by Japan Society for the Promotion of Science ((A) 18H03672,(S) 16H06338) | Japan Society for the Promotion of Science ((C) 20K03627)

Authors: Tadahisa Funaki | Bin Xie

A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise

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

Research funded by National Research Foundation of Korea (NRF-2021R1C1C2007792)

Authors: Beom-Seok Han

Estimation of arbitrary order central statistical moments by the multilevel Monte Carlo method

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

Authors: Claudio Bierig | Alexey Chernov

Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization

JOURNAL ARTICLE published 27 February 2024 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Deutsche Forschungsgemeinschaft (BE 5922/1-1)

Authors: Peter Bella | Michael Kniely

On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients

JOURNAL ARTICLE published 29 October 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: R. Z. Khasminskii | N. V. Krylov

Some results on the penalised nematic liquid crystals driven by multiplicative noise: weak solution and maximum principle

JOURNAL ARTICLE published 15 September 2019 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Austrian Science Fund (P 28010)

Authors: Zdzisław Brzeźniak | Erika Hausenblas | Paul André Razafimandimby

Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion

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

Research funded by Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (205321_169599)

Authors: Helmut Harbrecht | Marc Schmidlin

Stochastic integration and stochastic PDEs driven by jumps on the dual of a nuclear space

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

Research funded by Vicerrectoría de Investigación, Universidad de Costa Rica (820-B6-202)

Authors: C. A. Fonseca-Mora

Stochastic evolution equations with Lévy noise in the dual of a nuclear space

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

Research funded by Vicerrectoría de Investigación, Universidad de Costa Rica (B9131)

Authors: C. A. Fonseca-Mora

Convergence of the Finite Volume method for scalar conservation laws with multiplicative noise: an approach by kinetic formulation

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

Authors: Sylvain Dotti | Julien Vovelle

Two-scale coupling for preconditioned Hamiltonian Monte Carlo in infinite dimensions

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

Research funded by Division of Mathematical Sciences (1816378) | Deutsche Forschungsgemeinschaft (390685813)

Authors: Nawaf Bou-Rabee | Andreas Eberle

Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation

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

Authors: Giuseppe Genovese | Renato Lucà | Nikolay Tzvetkov

Stochastic nonlinear Schrödinger equations on tori

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

Research funded by Engineering and Physical Sciences Research Council (EP/L016508/01)

Authors: Kelvin Cheung | Razvan Mosincat

Subordinated Gaussian random fields in elliptic partial differential equations

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

Research funded by Deutsche Forschungsgemeinschaft (EXC 2075-390740016)

Authors: Robin Merkle | Andrea Barth

Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations

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

Authors: Julian Fischer | Felix Otto