Stochastic resonance in stochastic PDEs

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

Research funded by Agence Nationale de la Recherche (ANR-19-CE40-0023)

Authors: Nils Berglund | Rita Nader

Quasi-linear SPDEs in divergence form

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

Research funded by Royal Society (UF140187)

Authors: Felix Otto | Hendrik Weber

Global well-posedness and long-time behavior of the fractional NLS

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

Authors: Mouhamadou Sy | Xueying Yu

Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type nonlinearity

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

Research funded by Fundação para a Ciência e a Tecnologia (UIDB/04561/2020) | Fundação para a Ciência e a Tecnologia (2020/00162/CEECIND,PTDC/MAT-STA/28812/2017)

Authors: Jean-Baptiste Casteras | Léonard Monsaingeon

A Multi Level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients

JOURNAL ARTICLE published September 2015 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: Fabio Nobile | Francesco Tesei

A reflected moving boundary problem driven by space–time white noise

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

Research funded by Engineering and Physical Sciences Research Council (EP/L015811/1)

Authors: Ben Hambly | Jasdeep Kalsi

Talagrand concentration inequalities for stochastic partial differential equations

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

Research funded by Division of Mathematical Sciences (1409434,1608575)

Authors: Davar Khoshnevisan | Andrey Sarantsev

Anisotropic Gaussian random fields: criteria for hitting probabilities and applications

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

Research funded by Ministerio de Ciencia, Innovación y Universidades (MTM 2015-65092-P)

Authors: Adrián Hinojosa-Calleja | Marta Sanz-Solé

Eikonal equations and pathwise solutions to fully non-linear SPDEs

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

Authors: Peter K. Friz | Paul Gassiat | Pierre-Louis Lions | Panagiotis E. Souganidis

Well-posedness for a stochastic 2D Euler equation with transport noise

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

Research funded by Engineering and Physical Sciences Research Council (Mathematics of Planet Earth Centre for Doctoral Training at Imperial College London and University of Reading) | European Research Council (856408)

Authors: Oana Lang | Dan Crisan

Splitting up method for the 2D stochastic Navier–Stokes equations

JOURNAL ARTICLE published December 2014 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: H. Bessaih | Z. Brzeźniak | A. Millet

Self-repelling diffusions via an infinite dimensional approach

JOURNAL ARTICLE published December 2015 in Stochastic Partial Differential Equations: Analysis and Computations

Research funded by Swiss National Science Foundation (200020-149871/1) | Swiss National Science Foundation (200020-149871/1) | Swiss National Science Foundation (200020-149871/1)

Authors: Michel Benaïm | Ioana Ciotir | Carl-Erik Gauthier

Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise

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

Research funded by Hong Kong Polytechnic University (G-UAEY) | Hong Kong Research Grant Council (15325816)

Authors: Zhihui Liu | Zhonghua Qiao

Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds

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

Research funded by Deutsche Forschungsgemeinschaft (CRC 1173)

Authors: Zdzisław Brzeźniak | Fabian Hornung | Lutz Weis

From additive to transport noise in 2D fluid dynamics

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

Authors: Franco Flandoli | Umberto Pappalettera

Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

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

Research funded by Swiss National Science Foundation (172678)

Authors: Yoshihito Kazashi | Fabio Nobile

Tightness for a stochastic Allen–Cahn equation

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

Authors: Matthias Röger | Hendrik Weber

On a stochastic evolution equation with random growth conditions

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

Authors: Guy Vallet | Petra Wittbold | Aleksandra Zimmermann

Small ball probabilities for the infinite-dimensional Ornstein–Uhlenbeck process in Sobolev spaces

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

Authors: S. V. Lototsky

On the energy transfer to high frequencies in the damped/driven nonlinear Schrödinger equation

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

Research funded by National Natural Science Foundation of China (11790273) | Russian Science Foundation (18-11-00032.)

Authors: Guan Huang | Sergei Kuksin