This work addresses a problem of model-order reduction for a wide class of Partial Differential Equations (PDE). Starting from the popular continuity equation, describing a general conservation law in ...

We discuss the asymptotic behavior of solutions of weakly coupled parabolic equations describing systems undergoing diffusion, convection and nonlinear interaction in a bounded spatial domain, Ω. If ...

Reidel, Dordrecht. SOWERS, R. (1992). Large deviations for a reaction-diffusion equation with non-Gaussian perturbations. Ann. Probab.20504-537. ZABCHYK, J. (1989). On large deviations for stochastic ...

Invariant manifold theorems for reaction–diffusion equations and their applications Dynamic reductions in a reaction–diffusion system — An invariant manifold approach ...

Add a description, image, and links to the diffusion-equation topic page so that developers can more easily learn about it ...

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 ...

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Keywords: anomalous diffusion, concentration-dependent diffusivity, non-linear diffusion equation, non-linear diffusivity, Boltzmann transformation Citation: Hansen A, Flekkøy EG and Baldelli B (2020) ...

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 ...