TY  - GEN
A1  - Mazzonetto, Sara
A1  - Salimova, Diyora
T1  - Existence, uniqueness, and numerical approximations for stochastic burgers equations
T2  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe
N2  - In this article, we propose an all-in-one statement which includes existence, uniqueness, regularity, and numerical approximations of mild solutions for a class of stochastic partial differential equations (SPDEs) with non-globally monotone nonlinearities. The proof of this result exploits the properties of an existing fully explicit space-time discrete approximation scheme, in particular the fact that it satisfies suitable a priori estimates. We also obtain almost sure and strong convergence of the approximation scheme to the mild solutions of the considered SPDEs. We conclude by applying the main result of the article to the stochastic Burgers equations with additive space-time white noise.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1393 
KW  - stochastic Burgers equations
KW  - SPDEs
KW  - mild solution
KW  - existence
KW  - numerical approximation
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-515796
SN  - 1866-8372
IS  - 4
ER  - 
TY  - JOUR
A1  - Mazzonetto, Sara
A1  - Salimova, Diyora
T1  - Existence, uniqueness, and numerical approximations for stochastic burgers equations
JF  - Stochastic analysis and applications
N2  - In this article, we propose an all-in-one statement which includes existence, uniqueness, regularity, and numerical approximations of mild solutions for a class of stochastic partial differential equations (SPDEs) with non-globally monotone nonlinearities. The proof of this result exploits the properties of an existing fully explicit space-time discrete approximation scheme, in particular the fact that it satisfies suitable a priori estimates. We also obtain almost sure and strong convergence of the approximation scheme to the mild solutions of the considered SPDEs. We conclude by applying the main result of the article to the stochastic Burgers equations with additive space-time white noise.
KW  - Stochastic Burgers equations
KW  - SPDEs
KW  - mild solution
KW  - existence
KW  - numerical
KW  - approximation
Y1  - 2020
U6  - https://doi.org/10.1080/07362994.2019.1709503
SN  - 0736-2994
SN  - 1532-9356
VL  - 38
IS  - 4
SP  - 623
EP  - 646
PB  - Taylor & Francis Group
CY  - Philadelphia
ER  - 
TY  - JOUR
A1  - Mazzonetto, Sara
T1  - On an approximation of 2-D stochastic Navier-Stokes equations
JF  - Lectures in pure and applied mathematics
KW  - random point processes
KW  - statistical mechanics
KW  - stochastic analysis
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-472053
SN  - 978-3-86956-485-2
SN  - 2199-4951
SN  - 2199-496X
IS  - 6
SP  - 87
EP  - 96
PB  - Universitätsverlag Potsdam
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Zass, Alexander
A1  - Zagrebnov, Valentin
A1  - Sukiasyan, Hayk
A1  - Melkonyan, Tatev
A1  - Rafler, Mathias
A1  - Poghosyan, Suren
A1  - Zessin, Hans
A1  - Piatnitski, Andrey
A1  - Zhizhina, Elena
A1  - Pechersky, Eugeny
A1  - Pirogov, Sergei
A1  - Yambartsev, Anatoly
A1  - Mazzonetto, Sara
A1  - Lykov, Alexander
A1  - Malyshev, Vadim
A1  - Khachatryan, Linda
A1  - Nahapetian, Boris
A1  - Jursenas, Rytis
A1  - Jansen, Sabine
A1  - Tsagkarogiannis, Dimitrios
A1  - Kuna, Tobias
A1  - Kolesnikov, Leonid
A1  - Hryniv, Ostap
A1  - Wallace, Clare
A1  - Houdebert, Pierre
A1  - Figari, Rodolfo
A1  - Teta, Alessandro
A1  - Boldrighini, Carlo
A1  - Frigio, Sandro
A1  - Maponi, Pierluigi
A1  - Pellegrinotti, Alessandro
A1  - Sinai, Yakov G.
ED  - Roelly, Sylvie
ED  - Rafler, Mathias
ED  - Poghosyan, Suren
T1  - Proceedings of the XI international conference stochastic and analytic methods in mathematical physics
N2  - The XI international conference Stochastic and Analytic Methods in Mathematical Physics was held in Yerevan 2 – 7 September 2019 and was dedicated to the memory of the great mathematician Robert Adol’fovich Minlos, who passed away in January 2018.
The present volume collects a large majority of the contributions presented at the conference on the following domains of contemporary interest: classical and quantum statistical physics, mathematical methods in quantum mechanics, stochastic analysis, applications of point processes in statistical mechanics. The authors are specialists from Armenia, Czech Republic, Denmark, France, Germany, Italy, Japan, Lithuania, Russia, UK and Uzbekistan.
A particular aim of this volume is to offer young scientists basic material in order to inspire their future research in the wide fields presented here.
T3  - Lectures in pure and applied mathematics - 6 
KW  - statistical mechanics
KW  - random point processes
KW  - stochastic analysis
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-459192
SN  - 978-3-86956-485-2
SN  - 2199-4951
SN  - 2199-496X
IS  - 6
PB  - Universitätsverlag Potsdam
CY  - Potsdam
ER  -