4 papers
Threshold dynamics in time-delay systems: polynomial -control in a pressing process and connections to blow-up
Masato Kimura, Hirotaka Kuma, Yikan Liu +3
This paper addresses a press control problem in straightening machines with small time delays due to system communication. To handle this, we propose a generalized -control meth…
Energy-consistent dynamic fracture phase field models: unilateral constraints and finite element simulations
Md Mamun Miah, Ryuhei Wakida, Masato Kimura
Phase field models have emerged as a powerful and flexible framework for simulating complex interface-driven phenomena across a wide range of scientific and engineering application…
Particle dynamics with elastic collision at the boundary: existence and partial uniqueness of solutions
Masato Kimura, Patrick van Meurs, Zhenxing Yang
We consider the dynamics of point particles which are confined to a bounded, possibly nonconvex domain . Collisions with the boundary are described as purely elastic collisions.…
Particle dynamics subject to impenetrable boundaries: existence and uniqueness of mild solutions
M. Kimura, P. van Meurs, Z. X. Yang
We consider the dynamics of particle systems where the particles are confined by impenetrable barriers to a bounded, possibly non-convex domain . When particles hit the boundary…