| bibtype |
J -
Journal Article
|
| ARLID |
0546851 |
| utime |
20250310155908.1 |
| mtime |
20211019235959.9 |
| SCOPUS |
85108270000 |
| WOS |
000670295000019 |
| DOI |
10.1016/j.jde.2021.05.049 |
| title
(primary) (eng) |
Well-posedness of the 3D stochastic primitive equations with multiplicative and transport noise |
| specification |
| page_count |
60 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256945 |
| ISSN |
0022-0396 |
| title
|
Journal of Differential Equations |
| volume_id |
296 |
| volume |
1 (2021) |
| page_num |
617-676 |
| publisher |
|
|
| keyword |
Stochastic PDEs |
| keyword |
Primitive equations |
| keyword |
Global well-posedness |
| keyword |
Transport noise |
| author
(primary) |
| ARLID |
cav_un_auth*0202382 |
| name1 |
Brzezniak |
| name2 |
Z. |
| country |
GB |
|
| author
|
| ARLID |
cav_un_auth*0370372 |
| name1 |
Slavík |
| name2 |
Jakub |
| institution |
UTIA-B |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| country |
CZ |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| source |
|
| cas_special |
| abstract
(eng) |
We show that the stochastic 3D primitive equations with the Neumann boundary condition on the top, the lateral Dirichlet boundary condition and either the Dirichlet or the Neumann boundary condition on the bottom driven by multiplicative gradient-dependent white noise have unique maximal strong solutions both in the stochastic and PDE senses under certain assumptions on the growth of the noise. For the case of the Neumann boundary condition on the bottom, global existence is established by using the decomposition of the vertical velocity to the barotropic and baroclinic modes and an iterated stopping time argument. An explicit example of non-trivial infinite dimensional noise depending on the vertical average of the horizontal gradient of horizontal velocity is presented. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| reportyear |
2022 |
| num_of_auth |
2 |
| mrcbC52 |
2 R hod 4 4rh 4 20250310155548.7 4 20250310155908.1 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0323441 |
| confidential |
S |
| mrcbC86 |
n.a. Article Mathematics |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICS |
| mrcbT16-j |
1.413 |
| mrcbT16-s |
1.918 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q1* |
| arlyear |
2021 |
| mrcbTft |
\nSoubory v repozitáři: slavik-546851.pdf |
| mrcbU14 |
85108270000 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000670295000019 WOS |
| mrcbU63 |
cav_un_epca*0256945 Journal of Differential Equations 0022-0396 1090-2732 Roč. 296 č. 1 2021 617 676 Elsevier |
|