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Weak long-range diffusion

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Abstract
We study the spreading solutions of the nonlinear diffusion equation 𝑐𝑡 = [(𝜈 + 𝑐)𝑐𝑥]𝑥 when the far-field diffusivity 𝜈 is small. The method of strained coordinates is used to construct a uniform asymptotic correction to the similarity solution of the unperturbed problem. The equation provides a possible analogue to similar models of fluid jets and plumes.
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Publisher
Wiley Periodicals LLC
Citation
Studies in Applied Mathematics, e12759