Global well-posedness and enhanced dissipation for the 2D stochastic Nernst–Planck–Navier–Stokes equations with transport noise

Quyuan Lin, Rongchang Liu and Weinan Wang

Stochastic Processes and their Applications, 2025, vol. 184, issue C

Abstract: In this paper, we consider the 2D stochastic Nernst–Planck–Navier–Stokes equations incorporating transport noise affecting both momentum and ionic concentrations. By assuming the ionic species have the same diffusivity and opposite valences, we prove the global well-posedness of the system. Furthermore, we illustrate the enhanced dissipation phenomenon in the system with specific transportation noise by establishing that it enables an arbitrarily large exponential convergence rate of the solutions.

Keywords: Stochastic Nernst–Planck–Navier–Stokes equations; Transport noise; Global well-posedness; Enhanced dissipation (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304414925000444
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:184:y:2025:i:c:s0304414925000444

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.spa.2025.104603

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().