3 papers
math.AP2026
Soliton resolution for the energy-critical nonlinear Ginzburg-Landau equation in the radial case
Yuchen Yin
We study the the energy critical non-linear Ginzburg-Landau equation with in dimension . We prove that every radial…
gr-qc2025
Near-horizon gravitational perturbations of rotating black holes
Rico K. L. Lo, Yucheng Yin
Perturbative calculations of gravitational radiation near the horizons of rotating black holes in the frequency domain have been plagued by divergence issues. We resolve this longs…
gr-qc2024
Relativistic model of binary extreme-mass-ratio inspiral systems and their gravitational radiation
Yucheng Yin, Josh Mathews, Alvin J. K. Chua +1
A binary extreme-mass-ratio inspiral (b-EMRI) is a hierarchical triple system consisting of a stellar-mass binary black hole (BBH) orbiting a central Kerr supermassive black hole (…