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On the convergence rates for the three‐dimensional filtered Boussinesq equations
Author(s) -
Bisconti Luca,
Catania Davide
Publication year - 2021
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900157
Subject(s) - mathematics , boussinesq approximation (buoyancy) , rate of convergence , convergence (economics) , mathematical analysis , mechanics , physics , heat transfer , computer science , computer network , natural convection , rayleigh number , channel (broadcasting) , economics , economic growth
Abstract In this paper we consider a LES model for the approximation of large scales of the 3D Boussinesq equations. We analyze the convergence rate, in appropriate norms, of the unique regular weak solution of the regularized Boussinesq equations towards a weak solution of the original Boussinesq system.