2020/02/29 by Zdzisław Brzeźniak, Gaurav Dhariwal, Quoc Thong Le Gia · 5 citations
Computer Science · Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Modeling in Engineering #Boundary value problem #Compressibility #Convergence (economics) #Domain (mathematical analysis) #Martingale (probability theory) #Navier-Stokes equation solutions #Stochastic processes and financial applications #Weak solution #Zero (linguistics) #math.AP #math.PR #msc:35Q30 #msc:35R60 #msc:60H15 #msc:76D05
paper · pdf · doi:10.1007/s00245-020-09702-2
published in Applied Mathematics & Optimization 84(2), 1971-2035 (Springer Science+Business Media) · 54 Pages. Published Version. Includes additional sections corresponding to the analysis of deterministic NSEs on a thin spherical domain
openalex created_date 2020/03/06 · openalex publication_date 2020/07/11 · arxiv created 2020/07/14 · arxiv updated 2020/07/15 · openalex updated_date 2026/08/05
Abstract Incompressible Navier–Stokes equations on a thin spherical domain Qε <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Q</mml:mi> <mml:mi>ε</mml:mi> </mml:msub> </mml:math> along with free boundary conditions under a random forcing are considered. The convergence of the martingale solution of these equations to the martingale solution of the stochastic Navier–Stokes equations on a sphere \mathbb S2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>S</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:math> as the thickness converges to zero is established.