2 citations · 4 across the 5 of their papers we have counts for
5 papers
Mpemba effect in a sheared granular gas with velocity-dependent restitution
Makoto R. Kikuchi, Yuria Kobayashi, Satoshi Takada
We investigate the Mpemba effect in a dilute sheared granular gas with a velocity-dependent restitution coefficient. Using kinetic theory based on Grad's moment method, we analyze…
Discontinuous change of viscosity in a sheared granular gas with velocity-dependent restitution
Makoto R. Kikuchi, Yuria Kobayashi, Satoshi Takada
We investigate the rheology of a sheared granular gas composed of hard spheres with a velocity-dependent restitution coefficient. Using kinetic theory, we derive the shear viscosit…
Kinetic theory of dilute weakly charged granular gases with hard-core and inverse power-law interactions under uniform shear flow
Yuria Kobayashi, Makoto R. Kikuchi, Shunsuke Iizuka +1
We develop a kinetic-theory framework to investigate the steady rheology of a dilute gas interacting via a repulsive potential under uniform shear flow. Starting from the Boltzmann…
The inclusion relations of the countable models of set theory are all isomorphic
Joel David Hamkins, Makoto Kikuchi
The structures arising as the inclusion relation of a countable model of sufficient set theory , whether well-founded or not,…
Set-theoretic mereology
Joel David Hamkins, Makoto Kikuchi
We consider a set-theoretic version of mereology based on the inclusion relation and analyze how well it might serve as a foundation of mathematics. After establishing…