Diffusion-convection-réaction, frontières libres et une équation intégrale

B.H. Gilding; R. Kersner

Diffusion-convection-réaction, frontières libres et une équation intégrale

B.H. Gilding
, R. Kersner

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

Abstract

The property of finite speed of propagation for the general nonlinear diffusion-convection-reaction equation of the form u t =(a(u)) xx +(b(u)) x +c(u) is characterized. This is achieved utilizing travelling-wave solutions of the equation. The study of the travelling waves is reduced to the analysis of a singular nonlinear Volterra integral equation.

Original language	French
Pages (from-to)	743-746
Number of pages	4
Journal	Comptes rendus de l'Academie des Sciences. Serie 1. Mathematique
Volume	313
Issue number	11
Publication status	Published - 1991

Keywords

METIS-140648

Cite this

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title = "Diffusion-convection-r{\'e}action, fronti{\`e}res libres et une {\'e}quation int{\'e}grale",

abstract = "The property of finite speed of propagation for the general nonlinear diffusion-convection-reaction equation of the form u t =(a(u)) xx +(b(u)) x +c(u) is characterized. This is achieved utilizing travelling-wave solutions of the equation. The study of the travelling waves is reduced to the analysis of a singular nonlinear Volterra integral equation.",

keywords = "METIS-140648",

author = "B.H. Gilding and R. Kersner",

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T1 - Diffusion-convection-réaction, frontières libres et une équation intégrale

AU - Gilding, B.H.

AU - Kersner, R.

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N2 - The property of finite speed of propagation for the general nonlinear diffusion-convection-reaction equation of the form u t =(a(u)) xx +(b(u)) x +c(u) is characterized. This is achieved utilizing travelling-wave solutions of the equation. The study of the travelling waves is reduced to the analysis of a singular nonlinear Volterra integral equation.

AB - The property of finite speed of propagation for the general nonlinear diffusion-convection-reaction equation of the form u t =(a(u)) xx +(b(u)) x +c(u) is characterized. This is achieved utilizing travelling-wave solutions of the equation. The study of the travelling waves is reduced to the analysis of a singular nonlinear Volterra integral equation.

KW - METIS-140648

M3 - Article

SN - 0764-4442

VL - 313

SP - 743

EP - 746

JO - Comptes rendus de l'Academie des Sciences. Serie 1. Mathematique

JF - Comptes rendus de l'Academie des Sciences. Serie 1. Mathematique

IS - 11

ER -