56 citations · 220 across the 17 of their papers we have counts for
4 papers · 1 filter
Diffusion laws select boundary conditions
Jaywan Chung, Seungmin Kang, Ho-Youn Kim +1
The choice of boundary condition makes an essential difference in the solution structure of diffusion equations. The Dirichlet and Neumann boundary conditions and their combination…
Random walk with heterogeneous sojourn time
Jaywan Chung, Yong-Jung Kim, Min-Gi Lee
We introduce a discrete-time random walk model on a one-dimensional lattice with a nonconstant sojourn time and prove that the discrete density converges to a solution of a continu…
Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle
Jaywan Chung, Zihua Guo, Soonsik Kwon +1
We consider the quadratic derivative nonlinear Schrödinger equation (dNLS) on the circle. In particular, we develop an infinite iteration scheme of normal form reductions for dNLS.…
Convergence and Divergence of Approximations in terms of the Derivatives of Heat Kernel
Jaywan Chung
We consider an approximate solution to the heat equation which consists of the derivatives of heat kernel. Some conditions in the initial value, under which the approximation conve…