New solution for the nonlinear diffusion-convection equation

Arieh Pistiner; Michael Shapiro; Hillel Rubin

doi:10.1137/0151082

New solution for the nonlinear diffusion-convection equation

Arieh Pistiner^*, Michael Shapiro, Hillel Rubin

^*Corresponding author for this work

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

5 Scopus citations

Abstract

The Cauchy problem for a one-dimensional nonlinear porous-media diffusion-convection differential equation is considered. A self-similar solution is derived that, after the Riccati transformation, is described in terms of the Airy functions. The asymptotic behavior of the solution for a small amount of species introduced into the porous media is investigated.

Original language	English
Pages (from-to)	1616-1621
Number of pages	6
Journal	SIAM Journal on Applied Mathematics
Volume	51
Issue number	6
DOIs	https://doi.org/10.1137/0151082
State	Published - 1991
Externally published	Yes

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10.1137/0151082

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title = "New solution for the nonlinear diffusion-convection equation",

abstract = "The Cauchy problem for a one-dimensional nonlinear porous-media diffusion-convection differential equation is considered. A self-similar solution is derived that, after the Riccati transformation, is described in terms of the Airy functions. The asymptotic behavior of the solution for a small amount of species introduced into the porous media is investigated.",

author = "Arieh Pistiner and Michael Shapiro and Hillel Rubin",

year = "1991",

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AU - Pistiner, Arieh

AU - Shapiro, Michael

AU - Rubin, Hillel

PY - 1991

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AB - The Cauchy problem for a one-dimensional nonlinear porous-media diffusion-convection differential equation is considered. A self-similar solution is derived that, after the Riccati transformation, is described in terms of the Airy functions. The asymptotic behavior of the solution for a small amount of species introduced into the porous media is investigated.

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U2 - 10.1137/0151082

DO - 10.1137/0151082

M3 - 文章

AN - SCOPUS:0026403029

SN - 0036-1399

VL - 51

SP - 1616

EP - 1621

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 6

ER -

New solution for the nonlinear diffusion-convection equation

Abstract

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