【摘要】：本文研究的是在一般區(qū)域里,三維不可壓Boussinesq方程組在slip邊界條件下的粘性消失極限問題.我們給出了初邊值問題的適當性,在限制了初始旋度為零的前提下,得到對應理想Boussinesq方程組的旋度在時間演化上仍保持不變額外的邊界條件,在此基礎上得到Boussinesq方程組解的強收斂,并且得到了一個收斂率結(jié)果.
[Abstract]:In this paper, we study the viscous vanishing limit of three-dimensional incompressible Boussinesq equations under the slip boundary condition in a general domain. We give the appropriateness of the initial-boundary value problem. On the premise of limiting the initial curl to zero, we obtain the additional boundary conditions that the curl of the corresponding ideal Boussinesq equations remains invariant in time evolution. On this basis, the strong convergence of solutions of Boussinesq equations is obtained, and a convergence rate result is obtained.
【學位授予單位】：湘潭大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：O175

【參考文獻】

相關期刊論文 前1條

1 ;Remarks on Vanishing Viscosity Limits for the 3D Navier-Stokes Equations with a Slip Boundary Condition[J];Chinese Annals of Mathematics(Series B);2011年03期

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本文編號：2230281