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Reaction-diffusion front crossing a local defect
Reaction-diffusion Mathematical Physics local defect
2011/7/26
Abstract: The interaction of a Zeldovich reaction-diffusion front with a localized defect is studied numerically and analytically. For the analysis, we start from conservation laws and develop simple ...
Testing the diffusion hypothesis as a mechanism of self-healing in Disperse orange 11 doped in PMMA
hypothesis self-healing
2011/9/1
In this work, we show that reversible photodegradation of Disperse Orange 11 doped in PMMA is not due to dye diffusion – a common phenomenon observed in many dye-doped polymers. The change in linear a...
Harmonic analysis of spherical sampling in diffusion MRI
Harmonic analysis spherical sampling diffusion MRI
2011/9/9
In the last decade diffusion MRI has become a powerful tool to non-invasively study white-matter integrity in the brain. Recently many research groups have focused their attention on multi-shell spher...
Calculation of Viscosity and Diffusion Coefficients for Two Binary Gaseous Mixtures Using the Semi-empirical Inversion Method
Inversion method Viscosity Diffusion Gaseous mixture
2012/4/5
The accurate reduced potential energies for two binary gas mixtures including benzene-methanol and methane-tetrafluoromethane at low density have been obtained by direct inversion of the viscosity col...
Importance of N2 fixation vs. nitrate eddy diffusion along a latitudinal transect in the Atlantic Ocean
the Atlantic Ocean nitrate eddy
2014/4/8
We present ocean, basin-scale simultaneous measurements of N2-fixation, nitrate diffusion, and primary
production along a south–north transect in the Atlantic Ocean crossing three biogeographic provi...
A Third-Order Scheme for Numerical Fluxes to Guarantee Non-Negative Coefficients for Advection-Diffusion Equations
Numerical Scheme, Numerical Analysis, Numerical Stability, Positivity Condition, Advection-Diffusion Equation, Advection Equation, High-Order Scheme, Godunov Theorem, Burgers’ Equation
2013/1/30
According to Godunov theorem for numerical calculations of advection equations, there exist no high-er-order schemes with constant positive difference coefficients in a family of polynomial schemes wi...
Results from the University of Toronto continuous flow diffusion chamber at ICIS 2007: instrument intercomparison and ice onsets for different aerosol types
the University of Toronto flow diffusion chamber ICIS 2007 ice onsets different aerosol types
2011/1/18
The University of Toronto continuous flow diffusion chamber (UT-CFDC) was used to study heterogeneous ice nucleation at the International Workshop on Comparing Ice Nucleation Measuring Systems (ICIS 2...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Lyapunov and diffusion timescales in the Solar neighborhood
Lyapunov times di usion times stellar dynamics
2010/12/28
We estimate the Lyapunov times (characteristic times of predictabil-ity of motion) in Quillen's (2003) set of models for the dynamics in the Solar neighborhood.
Global solutions to a non-local diffusion equation with quadratic non-linearity
Global solutions a non-local diffusion equation quadratic non-linearity
2011/1/21
In this paper we prove the global in time well-posedness of the following non-local diffusion equation with ∈ [0, 2/3):@tu = (−△)−1u △u + u2, u(t = 0) = u0.
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation
2010/12/28
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Continuity correction for barrier options in jump-diffusion models
Barrier option Bessel process Continuity correction Exponential L´ evy model
2011/2/22
The aim of this paper is to study the continuity correction for barrier options in jump-diffusion models. For this purpose, we express the pay-off of a barrier option in terms of the maximum of the un...
A Posteriori Error Estimates for Nonconforming Approximations of Evolutionary Convection-Diffusion Problems
a posteriori error estimates time-nonconforming approximations convection-diffusion
2011/2/25
We derive computable upper bounds for the difference between an exact solution of the evolutionary convection-diffusion problem and an approximation of this solution.
Enhanced preliminary group classification of a class of generalized diffusion equations
Enhanced preliminary group classification class of generalized diffusion equations
2011/1/17
The method of preliminary group classification is rigorously defined, enhanced and related to
the theory of group classification of differential equations. Typical weaknesses in papers on
this metho...
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...