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<p>In this paper we consider the exact controllability problem with a moving control for the regularized Benjamin-Ono equation that describes the evolution of long-crested waves at the interface between two immiscible fluids. The controllability of the linearized model is proved by using spectral analysis. In order to get the same result for the nonlinear equation, we use a fixed point argument.</p>

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Exact controllability for the Regularized Benjamin-Ono equation on a periodic domain

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • Alex M. Montes,
  • Ricardo Córdoba

摘要

In this paper we consider the exact controllability problem with a moving control for the regularized Benjamin-Ono equation that describes the evolution of long-crested waves at the interface between two immiscible fluids. The controllability of the linearized model is proved by using spectral analysis. In order to get the same result for the nonlinear equation, we use a fixed point argument.