4 citations · 5 across the 2 of their papers we have counts for
5 papers
Uniform position alignment estimate of spherical flocking model with inter-particle bonding forces
Sun-Ho Choi, Dohyun Kwon, Hyowon Seo
We present a sufficient condition of the complete position flocking theorem for the Cucker-Smale type model on the unit sphere with an inter-particle bonding force. For this second…
On volume-preserving crystalline mean curvature flow
Inwon Kim, Dohyun Kwon, Norbert Požár
In this work we consider the global existence of volume-preserving crystalline curvature flow in a non-convex setting. We show that a natural geometric property, associated with re…
Cucker-Smale type flocking models on a sphere
Sun-Ho Choi, Dohyun Kwon, Hyowon Seo
We present a Cucker-Smale (C-S) type flocking model on a sphere. We study velocity alignment on a sphere and prove the emergence of flocking for the proposed model. Our model inclu…
Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients
Dohyun Kwon, Alpár Richárd Mészáros
This paper is devoted to the study of some nonlinear parabolic equations with discontinuous diffusion intensities. Such problems appear naturally in physical and biological models.…
Volume preserving mean curvature flow for star-shaped sets
Inwon Kim, Dohyun Kwon
We study the evolution of star-shaped sets in volume preserving mean curvature flow. Constructed by approximate minimizing movements, our solutions preserve a strong version of sta…