Existence of one class of global strong solution to the Cauchy problem for the three-dimensional incompressible Boussinesq system

2024/10/11 by Rulv Li, Shu Wang, Li, Rulv +1
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2410.08712

openalex publication_date 2024/10/11 · openalex created_date 2024/10/16 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the the global existence of strong solutions to the three dimensional incompressible Boussinesq system with some special solenoidal initial data. In particular, these solutions can be expressed into the Fourier series.

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