2 papers
math.AP2020
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.…
math.AP2018
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…