70 citations · 318 across the 22 of their papers we have counts for
23 papers
Effects of radius ratio on annular centrifugal Rayleigh-Bénard convection
Dongpu Wang, Hechuan Jiang, Shuang Liu +2
We report on a three-dimensional direct numerical simulation study of flow structure and heat transport in the annular centrifugal Rayleigh-Bénard convection (ACRBC) system, with c…
Rotational dynamics of bottom-heavy rods in turbulence from experiments and numerical simulations
Linfeng Jiang, Cheng Wang, Shuang Liu +2
We successfully perform the three-dimensional tracking in a turbulent fluid flow of small asymmetrical particles that are neutrally-buoyant and bottom-heavy, i.e., they have a non-…
A parallel cut-cell algorithm for the free-boundary Grad-Shafranov problem
Shuang Liu, Qi Tang, Xian-Zhu Tang
A parallel cut-cell algorithm is described to solve the free-boundary problem of the Grad-Shafranov equation. The algorithm reformulates the free-boundary problem in an irregular b…
Multiple solutions of Kazdan-Warner equation on graphs in the negative case
Shuang Liu, Yunyan Yang
Let be a finite connected graph, and let be a function such that . We consider the following Kazdan-Warner equation on :\[Δu+…
Heat transfer enhancement in Rayleigh-Bénard convection using a single passive barrier
Shuang Liu, Sander G. Huisman
In this numerical study on Rayleigh-Bénard convection we seek to improve the heat transfer by passive means. To this end we introduce a single tilted conductive barrier centered in…
Construction of fixed points of asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
Andrei Sipos
Kohlenbach and Leustean have shown in 2010 that any asymptotically nonexpansive self-mapping of a bounded nonempty -hyperbolic space has a fixed point. In this paper, we adapt…
From Rayleigh-Bénard convection to porous-media convection: how porosity affects heat transfer and flow structure
Shuang Liu, Linfeng Jiang, Kai Leong Chong +6
We perform a numerical study of the heat transfer and flow structure of Rayleigh-Bénard (RB) convection in (in most cases regular) porous media, which are comprised of circular, so…
Selected topics on reaction-diffusion-advection models from spatial ecology
King-Yeung Lam, Shuang Liu, Yuan Lou
We discuss the effects of movement and spatial heterogeneity on population dynamics via reaction-diffusion-advection models, focusing on the persistence, competition, and evolution…
Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator II: Small diffusion
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effect of small diffusion on the principal eigenvalues of linear time-periodic parabolic operators with zero Neumann boundary conditions in one dimensional space…
Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator I: Large advection
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effects of advection on the principal eigenvalues of linear time-periodic parabolic operators with zero Neumann boundary conditions. Various asymptotic behaviors…
Stacked invasion waves in a competition-diffusion model with three species
King-Yeung Lam, Qian Liu, Shuang Liu
We investigate the spreading properties of a three-species competition-diffusion system, which is non-cooperative. We apply the Hamilton-Jacobi approach, due to Freidlin, Evans and…
Asymptotic spreading of interacting species with multiple fronts I: A geometric optics approach
Qian Liu, Shuang Liu, King-Yeung Lam
We establish spreading properties of the Lotka-Volterra competition-diffusion system. When the initial data vanish on a right half-line, we derive the exact spreading speeds and pr…
Asymptotic spreading of interacting species with multiple fronts II: Exponentially decaying initial data
Qian Liu, Shuang Liu, King-Yeung Lam
This is part two of our study on the spreading properties of the Lotka-Volterra competition-diffusion systems with a stable coexistence state. We focus on the case when the initial…
Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effect of frequency on the principal eigenvalue of a time-periodic parabolic operator with Dirichlet, Robin or Neumann boundary conditions. The monotonicity and…
Buser's inequality on infinite graphs
Shuang Liu
In this paper, we establish Buser type inequalities, i.e., upper bounds for eigenvalues in terms of Cheeger constants. We prove the Buser's inequality for an infinite but locally f…
Li-Yau inequality for unbounded Laplacian on graphs
Chao Gong, Yong Lin, Shuang Liu +1
In this paper, we derive Li-Yau inequality for unbounded Laplacian on complete weighted graphs with the assumption of the curvature-dimension inequality , which can be r…
Monotonicity of principal eigenvalue for elliptic operators with incompressible flow: A functional approach
Shuang Liu, Yuan Lou
We establish the monotonicity of the principal eigenvalue , as a function of the advection amplitude , for the elliptic operator $L_{A}=-\mathrm{div}(a(x)\nabla)+A\mathb…
Li-Yau inequality on virtually Abelian groups
Gabor Lippner, Shuang Liu
We show that Cayley graphs of virtually Abelian groups satisfy a Li-Yau type gradient estimate despite the fact that they do not satisfy any known variant of the curvature-dimensio…
Equivalent Properties of CD Inequality on Graph
Yong Lin, Shuang Liu
We study some equivalent properties of the curvature-dimension conditions inequality on infinite, but locally finite graph. These equivalences are gradient estimate, Poin…
Global gradient estimate on graph and its applications
Yong Lin, Shuang Liu, Yunyan Yang
Continuing our previous work (arXiv:1509.07981v1), we derive another global gradient estimate for positive functions, particularly for positive solutions to the heat equation on fi…
A gradient estimate for positive functions on graphs
Yong Lin, Shuang Liu, Yunyan Yang
We derive a gradient estimate for positive functions, in particular for positive solutions to the heat equation, on finite or locally finite graphs. Unlike the well known Li-Yau es…
Ultracontractivity and functional inequalities on infinite graphs
Yong Lin, Shuang Liu, Hongye Song
In this paper, we prove the equivalent of ultracontractive bound of heat semigroup or the uniform upper bound of the heat kernel with the Nash inequality, Log-Sobolev inequalities…
Volume doubling, Poincaré inequality and Guassian heat kernel estimate for nonnegative curvature graphs
Paul Horn, Yong Lin, Shuang Liu +1
By studying the heat semigroup, we prove Li-Yau type estimates for bounded and positive solutions of the heat equation on graphs, under the assumption of the curvature-dimension in…