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1篇 您的检索式:作者名="Fangying Song"
    题名 作者 年代 出处 被引量
1On Instability of the Rayleigh–Bénard Problem without Thermal Diffusion in a Bounded Domain under L^(1)-Norm显示文摘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 L^(1)-norm between the both solutions of the linear and nonlinear problems,and prove the existence of escape times of nonlinear solutions.Thus we get the instability of nonlinear solutions under L^(1)-norm.Pan Zhang Mengmeng Liu Fangying Song 2022Annals of Applied Mathematics2022,38,3:0
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