| On Instability of the Rayleigh–Bénard Problem without Thermal Diffusion in a Bounded Domain under L1-Norm |
| |
| 作者姓名： | Pan Zhang Mengmeng Liu Fangying Song |
| |
| 基金项目： | supported by the NSF of China (Grant No. 11901100)；;the Natural Science Foundation of Fujian Province of China (Grant No. 2020J02001)； |
| |
| 摘 要： | We investigate the thermal instability of a three-dimensional Rayleigh–Bénard(RB for short) problem without thermal diffusion in a bounded domain. First we construct unstable solutions in exponential growth modes for the linear RB problem. Then we derive energy estimates for the nonlinear solutions by a method of a prior energy estimates, and establish a Gronwall-type energy inequality for the nonlinear solutions. Finally, we estimate for the error of L1-norm between the both solution...
|
|
