On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusions in general Sobolev spaces

被引：1
|
作者：
He, Zihui [1 ]
Liao, Xian [1 ]
机构：
[1] Karlsruhe Inst Technol, Inst Anal, Englorstr 2, D-76131 Karlsruhe, Germany
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 01期
关键词：
Boussinesq equations; Temperature-dependent diffusion coefficients; Existence; Uniqueness; Regularity; Sobolev spaces; GLOBAL WELL-POSEDNESS; SYSTEM; REGULARITY; EXISTENCE;
D O I：
10.1007/s00033-021-01650-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence, uniqueness as well as regularity issues for the two-dimensional incompressible Boussinesq equations with temperature-dependent thermal and viscosity diffusion coefficients in general Sobolev spaces. The optimal regularity exponent ranges are considered.
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页数：25
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