5 citations · 15 across the 10 of their papers we have counts for
14 papers
Measure-valued free-energy minimizers for trapped bosons with repulsive Coulomb interaction
Gi-Chan Bae, Jinmyoung Seok
We study a free-energy minimization problem for a trapped semiclassical Bose gas with repulsive Coulomb self-interaction. Because the bosonic entropy density has zero recession slo…
Semiclassical equivalence of two white dwarf models as ground states of the relativistic Hartree-Fock and Vlasov-Poisson energies
Younghun Hong, Sangdon Jin, Jinmyoung Seok
We are concerned with the semi-classical limit for ground states of the relativistic Hartree-Fock energies (HF) under a mass constraint, which are considered as the quantum mean-fi…
Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak-Łojasiewicz condition
Hyung Jun Choi, Woocheol Choi, Jinmyoung Seok
In this work, we establish the linear convergence estimate for the gradient descent involving the delay when the cost function is -strongly convex and -smoot…
Solitary waves for the nonlinear Schrödinger-Poisson system with positron-electron interaction
Sangdon Jin, Jinmyoung Seok
In this paper, we study the existence of positive solutions to the nonlinear elliptic system, which is derived from taking the nonrelativistic limit of the nonlinear Maxwell-Klein-…
Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations
Sangdon Jin, Jinmyoung Seok
We study the nonrelativistic limit of solitary waves from Nonlinear Maxwell-Klein-Gordon equations (NMKG) to Nonlinear Schrodinger-Poisson equations (NSP). It is known that the exi…
Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equation
Woocheol Choi, Younghun Hong, Jinmyoung Seok
For the gravitational Vlasov-Poisson equation, Guo and Rein constructed a class of classical isotropic states as minimizers of free energies (or energy-Casimir functionals) under m…