4 citations · 10 across the 8 of their papers we have counts for
6 papers
Asymptotics of Minimizers for Ginzburg--Landau-type Functionals in High Dimensions
Giacomo Canevari, Haotong Fu, Wei Wang
We investigate local minimizers of Ginzburg--Landau-type functionals in dimension that satisfy logarithmic energy bounds, assuming the potential has a vacuum manifold wit…
Edge localization and Lifshitz tails for graphs with Ahlfors regular volume growth
Laura Shou, Wei Wang, Shiwen Zhang
In this work, we study the Anderson model on graphs with Ahlfors -regular volume growth. We show that, under mild regularity assumptions of the random distribution, Lifshitz-tai…
Upper and Lower Bounds for The Quantum Dynamics of One-Dimensional Divergence-Type Random Jacobi Operators
Long Li, Wei Wang, Shiwen Zhang
We study quantum transport for the discrete one-dimensional random Jacobi operator of divergence-gradient type. For strictly positive and bounded random variables, we analyze the q…
Rigorous uniaxial limit of the Qian--Sheng inertial Q-tensor hydrodynamics for liquid crystals
Sirui Li, Wei Wang, Qi Zeng
This article is concerned with the rigorous connections between the inertial Qian--Sheng model and the Ericksen--Leslie model for the liquid crystal flow, under a more general cond…
Average and deviation for slow-fast stochastic partial differential equations
W. Wang, A. J. Roberts
Averaging is an important method to extract effective macroscopic dynamics from complex systems with slow modes and fast modes. This article derives an averaged equation for a clas…
Slow manifold and averaging for slow-fast stochastic differential system
W. Wang, A. J. Roberts
We consider multiscale stochastic dynamical systems. In this article an \emph{intermediate} reduced model is obtained for a slow-fast system with fast mode driven by white noise. F…