Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations

Shang, Zhi; Tang, Fuquan

doi:10.1186/s13660-020-02315-x

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Global well-posedness with fractional partial dissipation can be found in recent works [2,14,30,39,41,44]. For local and global theories of solutions in a three-dimensional space, we refer to [3,4,12,16,23,26,29,36,38] and the references cited therein.…”

Section: )mentioning

confidence: 99%

Global existence of classical solutions to the two-dimensional compressible Boussinesq equations in a square domain

2020

Self Cite

View full text Add to dashboard Cite

In this paper, we consider the initial boundary value problem of two-dimensional isentropic compressible Boussinesq equations with constant viscosity and thermal diffusivity in a square domain. Based on the time-independent lower-order and time-dependent higher-order a priori estimates, we prove that the classical solution exists globally in time provided the initial mass $\|\rho _{0}\|_{L^{1}}$ ∥ ρ 0 ∥ L 1 of the fluid is small. Here, we have no small requirements for the initial velocity and temperature.

show abstract