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为揭示Rayleigh-Bénard对流模型的特征,运用奇异摄动理论的小参数渐近展开法,研究了在给定的初值条件,初始层消失时,Rayleigh-Bénard对流的Boussinesq近似系统解的无穷大Prandtl数渐近极限问题.给出了该问题的近似解和误差方程组.
In order to reveal the characteristics of the Rayleigh-Bénard convection model, the asymptotic expansion of small parameters of singular perturbation theory is used to study the infinite Prandtl’s solution to the Boussinesq approximate system of Rayleigh-Bénard convection under given initial conditions and disappearance of the initial layer. Asymptotic Limit Problems of Several Asymptotic Solutions. The approximate solution and error equations of this problem are given.