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Feedback Stabilization and Boundary Controllability of the Korteweg--de Vries Equation on a Star-Shaped Network
In this article, we propose a new model using the Korteweg--de Vries equation on a finite star-shaped network. We first prove the well-posedness of the system and give some regularity results. Then we prove that the energy of the solutions of the dissipative system decays exponentially to zero when the …