Global Controllability of the Kawahara Equation at Any Time

2024/12/11 by Ahamed, Sakil, Mondal, Debanjit · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2412.08353

Abstract

In this article, we prove that the nonlinear Kawahara equation on the periodic domain \(\mathbbT\) (the unit circle in the plane) is globally approximately controllable in \(H^s(\mathbbT)\) for \(s ∈ ℕ\), at any time \(T > 0\), using a two-dimensional control force. The proof is based on the Agrachev-Sarychev approach in geometric control theory.

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• Global controllability of the Cahn-Hilliard equation

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