Stationary profiles of degenerate problems with inhomogeneous saturation values

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5 Citations (Scopus)

Abstract

This work is concerned with the profiles of solutions for stationary problems between the degenerate diffusion of the p-Laplacian and a reaction with an inhomogeneous saturation value. It is shown that if a parameter for the diffusion is sufficiently small, then the solution attains the saturation value of the reaction in each region where the saturation value is constant. The associated evolutional problem is also mentioned.

Original languageEnglish
JournalNonlinear Analysis, Theory, Methods and Applications
Volume63
Issue number5-7
DOIs
Publication statusPublished - 2005 Nov 30
Externally publishedYes

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Saturation (materials composition)

Keywords

  • Degenerate diffusion
  • Flat core
  • p-Laplacian

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mathematics(all)

Cite this

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title = "Stationary profiles of degenerate problems with inhomogeneous saturation values",
abstract = "This work is concerned with the profiles of solutions for stationary problems between the degenerate diffusion of the p-Laplacian and a reaction with an inhomogeneous saturation value. It is shown that if a parameter for the diffusion is sufficiently small, then the solution attains the saturation value of the reaction in each region where the saturation value is constant. The associated evolutional problem is also mentioned.",
keywords = "Degenerate diffusion, Flat core, p-Laplacian",
author = "Shingo Takeuchi",
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N2 - This work is concerned with the profiles of solutions for stationary problems between the degenerate diffusion of the p-Laplacian and a reaction with an inhomogeneous saturation value. It is shown that if a parameter for the diffusion is sufficiently small, then the solution attains the saturation value of the reaction in each region where the saturation value is constant. The associated evolutional problem is also mentioned.

AB - This work is concerned with the profiles of solutions for stationary problems between the degenerate diffusion of the p-Laplacian and a reaction with an inhomogeneous saturation value. It is shown that if a parameter for the diffusion is sufficiently small, then the solution attains the saturation value of the reaction in each region where the saturation value is constant. The associated evolutional problem is also mentioned.

KW - Degenerate diffusion

KW - Flat core

KW - p-Laplacian

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JO - Nonlinear Analysis, Theory, Methods and Applications

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