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physics.flu-dyn2021
A mathematical treatment of bump structure for the particle laden flows with particle features
Kaname Matsue, Kyoko Tomoeda
In this paper, we consider the particle laden flows on a inclined plane under the effect of the gravity. It is observed from preceding experimental works that the particle-rich rid…
math.DS2021
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature
Jean-Philippe Lessard, Kaname Matsue, Akitoshi Takayasu
In this paper, blow-up solutions of autonomous ordinary differential equations (ODEs) which are unstable under perturbations of initial points, referred to as saddle-type blow-up s…