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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁流体 动力学模型 能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
ANISOTROPIC STEP STIFFNESS FROM A KINETIC MODEL OF EPITAXIAL GROWTH
epitaxial growth island dynamics step edge adatoms edge-atoms surface diffusion step stiffness line tension step edge kinetics kinetic steady state Gibbs–Thomson formula Ehrlich–Schwoebel barrier step permeability
2015/10/16
Starting from a detailed model for the kinetics of a step edge or island boundary, we derive a Gibbs–Thomson-type formula and the associated step stiffness as a function of the step edge orientation a...
Island-dynamics model for mound formation:Effect of a step-edge barrier
Island-dynamics model mound formation step-edge barrier
2015/10/16
We formulate and implement a generalized island-dynamics model of epitaxial growth based on the level-set technique to include the effect of an additional energy barrier for the attachment and detachm...
ON STRONG LOCAL ALIGNMENT IN THE KINETIC CUCKER-SMALE MODEL
STRONG LOCAL ALIGNMENT KINETIC CUCKER-SMALE MODEL
2015/10/15
In the recent papers [4, 5] the authors study the existence of weak solutions and the hydrodynamic limit of kinetic flocking equations with strong local alignment. The introduction of a strong local a...
Analysis of a mathematical model of syntrophic bacteria in a chemostat
Syntrophic relationship Mathematical modelling Coexistence Asymptotic stability Anaerobic digestion
2011/9/23
Abstract: A mathematical model involving a syntrophic relationship between two populations of bacteria in a continuous culture is proposed. A detailed qualitative analysis is carried out. The local an...
Multiple steady states in a mathematical model for interactions between T cells and macrophages
mathematical model T cells and macrophages Cell Behavior
2011/10/9
Abstract: The aim of this paper is to prove results about the existence and stability of multiple steady states in a system of ordinary differential equations introduced by R. Lev Bar-Or to model the ...
A Mathematical model for Astrocytes mediated LTP at Single Hippocampal Synapses
Mathematical model Astrocytes LTP Hippocampal Synapses
2011/10/9
Abstract: Many contemporary studies have shown that astrocytes play a significant role in modulating both short and long form of synaptic plasticity. There are very few experimental models which eluci...
Random fields on model sets with localized dependency and their diffraction
Diffraction Pure point spectrum Absolutely continuous spectrum Quasicrystal Model set
2011/9/19
Abstract: For a random field on a general discrete set, we introduce a condition that the range of the correlation from each site is within a predefined compact set D. For such a random field {\omega}...
Diffusion for the periodic wind-tree model
Billiards diffusion translations surfaces Lyapunov exponents ergodic averages
2011/8/31
Abstract: The periodic wind-tree model is an infinite billiard in the plane with identical rectangular scatterers disposed at each integer point. We prove that independently of the size of the scatter...
Aggressive shadowing of a low-dimensional model of atmospheric dynamics
shadowing stalking ensemble forecasting inflation
2011/7/6
Predictions of the future state of the Earth's atmosphere suffer from the consequences of chaos: numerical weather forecast models quickly diverge from observations as uncertainty in the initial state...
A Model of Opinion Dynamics with Bounded Confidence and Noise
Opinion Dynamics Bounded Confidence Noise
2011/7/20
This paper introduces a new model of continuous opinion dynamics with random noise. The model belongs to the broad class of so called bounded confidence models. It differs from other popular bounded c...
Regularity "in Large" for the 3D Salmon's Planetary Geostrophic Model of Ocean Dynamics
planetary geostrophic model global regularity ocean dynamics model global circulation
2011/2/28
It is well known, by now, that the three-dimensional non-viscous planetary geostrophic model,
with vertical hydrostatic balance and horizontal Rayleigh friction, coupled to the heat diffusion and tra...
Knowledge-Based Innovation Systems and the Model of a Triple Helix of University-Industry-Government Relations
Triple Helix University-Industry-Government Relations
2010/4/1
The (neo-)evolutionary model of a Triple Helix of University-Industry-Government Relations focuses on the overlay of expectations, communications, and interactions that potentially feed back on the in...
In this paper, a mean-field equation of motion which is derived by
Penrose (1991) for the dynamic Ising model with Glauber dynamics is
considered. Various finite difference schemes such as explicit ...
A NOTE ON THE REGULARITY OF INVISCID SHELL MODEL OF TURBULENCE
NOTE ON THE REGULARITY INVISCID SHELL MODEL OF TURBULENCE
2014/4/4
In this paper we continue the analytical study of the sabra shell model of energy turbulent cascade initiated in [11]. We prove the global existence of weak solutions of the inviscid sabra shell model...