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  1. No Access

    Article

    Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation

    In this paper, we develop computer-assisted techniques for the analysis of periodic orbits of ill-posed partial differential equations. As a case study, our proposed method is applied to the Boussinesq equatio...

    Roberto Castelli, Marcio Gameiro… in Archive for Rational Mechanics and Analysis (2018)

  2. Article

    Open Access

    Topologically Distinct Collision-Free Periodic Solutions for the \({N}\) -Center Problem

    This work concerns the planar \({N}\) N ...

    Roberto Castelli in Archive for Rational Mechanics and Analysis (2017)

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