This paper is devoted to the theoretical and numerical analysis of the null controllability of a quasi-linear parabolic equation. First, we establish a local controllability result. The proof relies on an appropriate inverse function argument. Then, we formulate an iterative algorithm for the computation of the null control and we prove a convergence result. Finally, we illustrate the analysis with some numerical experiments.

中文翻译：

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尺寸为2和3的拟线性抛物方程的理论和数值局部零可控性

本文致力于准线性抛物方程的零可控制性的理论和数值分析。首先，我们建立一个局部可控性结果。证明依赖于适当的逆函数自变量。然后，我们为空控制的计算公式化了一个迭代算法，并证明了收敛结果。最后，我们通过一些数值实验来说明分析。