1 citations · 2 across the 5 of their papers we have counts for
6 papers
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 toge…
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.…
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…
Lax Equivalence for Hyperbolic Relaxation Approximations
Zeyu Jin, Ruo Li
This paper investigates the zero relaxation limit for general linear hyperbolic relaxation systems and establishes the asymptotic convergence of slow variables under the unimprovab…
Natural Model Reduction for Kinetic Equations
Zeyu Jin, Ruo Li
A promising approach to investigating high-dimensional problems is to identify their intrinsically low-dimensional features, which can be achieved through recently developed techni…
High Order Numerical Homogenization for Dissipative Ordinary Differential Equations
Zeyu Jin, Ruo Li
We propose a high order numerical homogenization method for dissipative ordinary differential equations (ODEs) containing two time scales. Essentially, only first order homogenized…