我們考慮一個與介面燃燒方程中紊流燃燒速度有關的優化問題。我們利用控制理論討論出介面燃燒方程是一個哈密頓-雅可比-貝爾曼方程。然後我們將優化問題做離散，並使用隨機梯度下降法和測試函數來尋找優化問題中的最佳路徑。最後我們展示在不同流場中找到的最佳路徑，並將其估算出的燃燒速度和於其他文章中分析及計算的結果作比較。

We consider the optimization problem that corresponds to the turbulent flame speed of G-equation. By control theory, the G-equation is a Hamilton-Jacobi-Bellman type equation. The optimization problem is discretized and solved by stochastic gradient descent method using test functions. Then we present the optimal trajectories with various choices of flow velocities, and the computed turbulent flame speed agree with the previous analytical and computational results.

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