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We study the continuum limit in 2+1 dimensions of nanoscale anisotropic diffusion processes on crystal surfaces relaxing to become flat below roughening. Our main result is a continuum law for the sur...
A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite difference method in time and the spectral Galerkin met...
Abstract: We investigate three different methods for systematically approximating the diffusion coefficient of a deterministic random walk on the line which contains dynamical correlations that change...
Abstract: We prove diffusion for a quantum particle coupled to a field of bosons (phonons or photons). The importance of this result lies in the fact that our model is fully Hamiltonian and randomness...
Abstract: We propose new equations of motion under the theory of the Brownian motion to connect the states of quantum, diffusion, soliton, and periodic localization. The new equations are nothing but ...
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 ...
Stability of a set of travelling wave solutions to the hyperbolic generalization of the convection-reaction-diffusion equation is studied by means of the qualitative methods and numerical simulation.
We investigate solutions, by using the Green function approach, for a system governed by a non-Markovian Fokker-Planck equation and subjected to a Comb structure. This structure consists of the axis o...
2007Vol.47No.2pp.193-199DOI: Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method HU Jia-Yi,1,2,3 QU Chang-Zheng,1,2 and YIN Hui4 1 ...
2006Vol.46No.4pp.668-674DOI: Conditional Symmetries and Solutions to a Class of Nonlinear Diffusion-Convection Equations JI Li-Na1,2,3 and QU Chang-Zheng1,2 1 Center for...
2002Vol.37No.6pp.733-738DOI: The Exact Solution of Milburn Equation Without Diffusion Approximation for the Two-Model Raman Coupled Model XU Jing-Bo, ZOU Xu-Bo, GAO Xiao-Chun, and...
2006Vol.45No.4pp.761-764DOI: Turing Patterns in a Reaction-Diffusion System WU Yan-Ning, WANG Ping-Jian, HOU Chun-Ju, LIU Chang-Song, and ZHU Zhen-Gang Key Laboratory of...
2006Vol.45No.2pp.193-198DOI: Potential Symmetries to a System of Three-Component Nonlinear Diffusion Equations XUE Chun-Rong1,2 and QU Chang-Zheng1,2 1 Center for Nonlin...
2006Vol.45No.2pp.325-331DOI: Study of Pre-equilibrium Fission Based on Diffusion Model SUN Xiao-Jun1,2 and ZHANG Jing-Shang2 1 College of Physics and Information Techno...
2004Vol.41No.2pp.231-234DOI: Conditional Symmetry Groups of Nonlinear Diffusion Equations with x-Dependent Convection and Absorption QU Chang-Zheng and ZHANG Shun-Li Dep...

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