Stochastic primitive equations with horizontal viscosity and diffusivity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F23%3A00575211" target="_blank" >RIV/67985556:_____/23:00575211 - isvavai.cz</a>
Result on the web
<a href="https://projecteuclid.org/journals/electronic-journal-of-probability/volume-28/issue-none/Stochastic-primitive-equations-with-horizontal-viscosity-and-diffusivity/10.1214/23-EJP940.full" target="_blank" >https://projecteuclid.org/journals/electronic-journal-of-probability/volume-28/issue-none/Stochastic-primitive-equations-with-horizontal-viscosity-and-diffusivity/10.1214/23-EJP940.full</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1214/23-EJP940" target="_blank" >10.1214/23-EJP940</a>
Alternative languages
Result language
angličtina
Original language name
Stochastic primitive equations with horizontal viscosity and diffusivity
Original language description
We establish the existence and uniqueness of pathwise strong solutions to the stochastic 3D primitive equations with only horizontal viscosity and diffusivity driven by transport noise on a cylindrical domain M=(-h,0)xG, G⊂R^2 bounded and smooth, with the physical Dirichlet boundary conditions on the lateral part of the boundary. Compared to the deterministic case where the uniqueness of z-weak solutions holds in L^2, more regular initial data are necessary to establish uniqueness in the anisotropic space H^1_z L^2_{xy} so that the existence of local pathwise solutions can be deduced from the Gyöngy-Krylov theorem. Global existence is established using the logarithmic Sobolev embedding, the stochastic Gronwall lemma and an iterated stopping time argument.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Electronic Journal of Probability
ISSN
1083-6489
e-ISSN
1083-6489
Volume of the periodical
28
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
56
Pages from-to
54
UT code for WoS article
000973790000006
EID of the result in the Scopus database
2-s2.0-85156114913