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math.AP2026
New approach for elastic collisions with singular stress functions
Toyohiko Aiki, Chiharu Kosugi
A collision of a rubber rod to a hard floor is regarded as a simple example of obstacle problems for elastic material. In this article we have proposed a new mathematical model for…
math.AP2026
On behavior of free boundaries to generalized two-phase Stefan problems for parabolic partial differential equation systems
Toyohiko Aiki, Hana Kakiuchi
Recently, we have proposed a new free boundary problem representing the bread baking process in a hot oven. Unknown functions in this problem are the position of the evaporation fr…