The Motion of Internal Layers in Singularly Perturbed Advection-Diffusion-Reaction Equations
This paper asymptotically solves singularly perturbed partial differential equations of the form as → 0+ , on a finite spatial domain, in the case where the solution exhibits a single extremely slowly moving internal layer. Conditions under which such solutions occur are discussed. Equations of motion for the layer are derived, and careful consideration is given to both exponential asymptotics and the previously little-studied case of algebraic asymptotics.
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Document Type: Research Article
Publication date: January 1, 2004