Weak long-range diffusion

R. S. Garvey; A. C. Fowler

doi:10.1111/sapm.12759

Weak long-range diffusion

R. S. Garvey
, A. C. Fowler

University of Oxford

Research output: Contribution to journal › Article › peer-review

Abstract

We study the spreading solutions of the nonlinear diffusion equation (Formula presented.) when the far-field diffusivity (Formula presented.) 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.

Original language	English
Article number	e12759
Journal	Studies in Applied Mathematics
Volume	153
Issue number	4
DOIs	https://doi.org/10.1111/sapm.12759
Publication status	Published - Nov 2024

Keywords

jets
plumes
strained coordinates
weak long-range diffusion

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10.1111/sapm.12759

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title = "Weak long-range diffusion",

abstract = "We study the spreading solutions of the nonlinear diffusion equation (Formula presented.) when the far-field diffusivity (Formula presented.) 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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AB - We study the spreading solutions of the nonlinear diffusion equation (Formula presented.) when the far-field diffusivity (Formula presented.) 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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KW - plumes

KW - strained coordinates

KW - weak long-range diffusion

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DO - 10.1111/sapm.12759

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VL - 153

JO - Studies in Applied Mathematics

JF - Studies in Applied Mathematics

IS - 4

M1 - e12759

ER -

Weak long-range diffusion

Abstract

Keywords

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