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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...
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Article
Open AccessTopologically Distinct Collision-Free Periodic Solutions for the \({N}\) -Center Problem
This work concerns the planar \({N}\) N ...