40 citations · 42 across the 6 of their papers we have counts for
6 papers
Weak solutions to the equations of stationary compressible flows in active liquid crystals
Zhilei Liang, Apala Majumdar, Dehua Wang +1
The equations of stationary compressible flows of active liquid crystals are considered in a bounded three-dimensional domain. The system consists of the stationary Navier-Stokes e…
Martingale Solution for Stochastic Active Liquid Crystal System
Zhaoyang Qiu, Yixuan Wang
The global weak martingale solution is built through a four-level approximation scheme to stochastic compressible active liquid crystal system driven by multiplicative noise in a s…
An Analytical Analogue of Morse's Lemma
Yixuan Wang
The Morse function near a non-degenerate critical point is understood topologically, in the light of Morse's lemma. However, Morse's lemma standardizes the function its…
Global Well-Posedness and Large-Time Behavior of 1D Compressible Navier-Stokes System with Density-Depending Viscosity and Vacuum in Unbounded Domains
Kexin Li, Boqiang Lü, Yixuan Wang
We consider the Cauchy problem for one-dimensional (1D) barotropic compressible Navier-Stokes equations with density-dependent viscosity and large external force. Under a general a…
On Global Classical Solutions to 1D Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum
Boqiang Lü, Yixuan Wang, Yuhang Wu
For the initial boundary value problem of compressible barotropic Navier-Stokes equations in one-dimensional bounded domains with general density-dependent viscosity and large exte…
Adaptive Algebraic Multiscale Solver for Compressible Flow in Heterogeneous Porous Media
Matei Tene, Yixuan Wang, Hadi Hajibeygi
This paper presents the development of an Adaptive Algebraic Multiscale Solver for Compressible flow (C-AMS) in heterogeneous porous media. Similar to the recently developed AMS fo…