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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A diffusion scheme based on the foliation graph stripe for optimizing discrete harmonic foliation energy
叶子图条带 优化 离散谐波 叶能量 扩散方案
2023/4/28
Consumer expenditures in the United Kingdom account for over 50% of Gross Domestic Product on the expenditure side, yet their impact on economic activity is often Global geometric structures live on m...
Homogenization of reconstructed crystal surfaces:Fick’s law of diffusion
Homogenization reconstructed crystal surfaces Fick’s law of diffusion
2015/10/16
Fick’s law for the diffusion of adsorbed atoms adatoms on crystal surfaces below roughening is generalized to account for surface reconstruction. In this case, material parameters vary spatially at ...
Diffusion and Cascading Behavior in Random Networks
Diffusion Cascading Behavior Random Networks
2011/1/20
The spread of new ideas, behaviors or technologies has been extensively studied using epidemic models. Here we consider a model of diffusion where the individuals’ behavior is the result of a strategi...
Excluded-volume effects in the diffusion of hard spheres
Excluded-volume effects diffusion of hard spheres
2011/1/21
Excluded-volume effects can play an important role in determining transport properties in diffusion of particles through crowded environments.
Extinction profile of the logarithmic diffusion equation
logarithmic diffusion equation extinction profile asymptotic behaviour
2011/1/19
Let u be the solution of ut = log u in RN × (0, T ), N ≥ 3, with initial value u0 satisfying Bk1 (x, 0) ≤ u0 ≤ Bk2(x, 0) for some constants k1 > k2 > 0 where Bk(x, t) = 2(N − 2)(T −t)N/(N...
Holder estimates for advection fractional-diffusion equations
Holder estimates advection fractional-diffusion equations
2010/12/14
We analyse conditions for an evolution equation with a drift and fractional diffusion to have a H¨older continuous solution. In case the diffusion is of order one or more, we obtain H¨older estimates ...
Global existence of solutions for some coupled systems of reaction-diffusion equations
Reaction-Diffusion systems Global Existence Lyapunov Functional
2010/12/14
The aim of this work is to study the global existence of solutions for some coupled systems of reaction diffusion which describe the spread within a population of infectious disease. We consider a tri...
Global Minimizers for Free Energies of Subcritical Aggregation Equations with Degenerate Diffusion
Global Minimizers Free Energies of Subcritical Aggregation Equations Degenerate Diffusion
2010/12/14
We prove the existence of non-trivial global minimizers of a class of free energies related to aggregation equations with degenerate diffusion on Rd. Such equations arise in mathematical biology as mo...