论文标题
具有非本地边界条件的Oberbeck-Boussinesq系统
The Oberbeck-Boussinesq system with non-local boundary conditions
论文作者
论文摘要
我们将具有非本地边界条件的Oberbeck-Boussinesq系统视为在低马赫和低弗洛德数字的制度中的完整Navier的单数限制 - 风格的系统。在最大时间间隔$ [0，t _ {\ rm max}）$上显示了强解决方案的存在。此外，$ t _ {\ rm max} = \ infty $在两个维度设置中。
We consider the Oberbeck--Boussinesq system with non--local boundary conditions arising as a singular limit of the full Navier--Stokes--Fourier system in the regime of low Mach and low Froude number. The existence of strong solutions is shown on a maximal time interval $[0, T_{\rm max})$. Moreover, $T_{\rm max} = \infty$ in the two dimensional setting.
