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TORSTEN LINSS, ANALYSIS OF A SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS WITH STRONG COUPLING, SIAM Journal on Numerical Analysis, Vol. 47, No. 3 (2009), pp. 1847-1862 ...
We focus on the solution of the magnetic field diffusion equation, which contains such problems. This paper presents a new formulation of the diffusion equation including dynamic hysteresis. The ...
For the linearization of a degenerate reaction-diffusion system at a traveling pulse or front, we prove a theorem that allows one to derive information about the semigroup generated by the linear ...
Explore the analytical and numerical study of Linear Fractional Map Type (LFMT) Nonlinear QCA (NLQCA) and its connection to linear advection equations and nonlinear advection-diffusion equations.
The equation governing this system is a non-linear Fisher equation in which the diffusion coefficient depends on cell density. The non-linearity arises in the diffusion coefficient.
The goal of this paper is to design a stabilizing feedback boundary control for a reaction-diffusion partial differential equation (PDE), where the boundary control is subject to a constant delay ...
We conducted molecular dynamics (MD) simulations to study how solvent chains affect the diffusion of linear polymers in the unentangled regime. For monodisperse solvent chains, the self-diffusivity of ...
In these very short linear hosts, all PEO rings simulated (molecular weights between 2 and 10 kg/mol) diffuse faster than in their own melts. However, as the size of the host linear chains increases ...