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math.AP2025
Linear Test Approach to Global Controllability of Higher-Order Nonlinear Dispersive Equations with Finite-Dimensional Control
Debanjit Mondal
We investigate a class of higher-order nonlinear dispersive equations posed on the circle, subject to additive forcing by a finite-dimensional control. Our main objective is to est…
math.AP2024
Global Controllability of the Kawahara Equation at Any Time
Sakil Ahamed, Debanjit Mondal
In this article, we prove that the nonlinear Kawahara equation on the periodic domain \(\mathbb{T}\) (the unit circle in the plane) is globally approximately controllable in \(H^s(…
math.AP2024★ 1 cited
Global Approximate Controllability of the Camassa-Holm Equation by a Finite Dimensional Force
Shirshendu Chowdhury, Rajib Dutta, Debanjit Mondal
In this paper, we consider the Camassa-Holm equation posed on the periodic domain . We show that Camassa-Holm equation is globally approximately controllable by three d…