3 papers
math.FA2026
Degenerate constants in degree inequalities for Sobolev circle maps: on some problems posed by Brezis
Xu'an Dou, Zeyu Jin
We sharpen the constants in two degree inequalities for circle-valued Sobolev maps in degenerate regimes, as or . The two proofs use the same power trick tog…
math.NA2025
Efficient Long-Time Simulations of Multiscale Systems via High-Order Numerical Homogenization
Bojin Chen, Zeyu Jin, Ruo Li
By a high-order numerical homogenization method, a heterogeneous multiscale scheme was developed in Jin & Li (2022) for evolving differential equations containing two time scales.…
math.AP2025
Mixing for generic passive scalars by incompressible flows
Zeyu Jin, Ruo Li
Mixing by incompressible flows is a ubiquitous yet incompletely understood phenomenon in fluid dynamics. While previous studies have focused on optimal mixing rates, the question o…