Decay results for viscoelastic diffusion equations in absence of instantaneous elasticity

Mohammad Kafini

Decay results for viscoelastic diffusion equations in absence of instantaneous elasticity

Mohammad Kafini^*

^*Corresponding author for this work

Department of Mathematics

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

1 Scopus citations

Abstract

We study the diffusion equation in the absence of instantaneous elasticity where Ω⊂ℝ ⁿ, subjected to nonlinear boundary conditions. We prove that if the relaxation function g decays exponentially, then the solutions is exponential stable.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2012
State	Published - 12 May 2012

Keywords

Diffusion equation
Exponential decay
Instantaneous elasticity
Relaxation function
Viscoelastic

ASJC Scopus subject areas

Analysis

Cite this

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title = "Decay results for viscoelastic diffusion equations in absence of instantaneous elasticity",

abstract = "We study the diffusion equation in the absence of instantaneous elasticity where Ω⊂ℝ n, subjected to nonlinear boundary conditions. We prove that if the relaxation function g decays exponentially, then the solutions is exponential stable.",

keywords = "Diffusion equation, Exponential decay, Instantaneous elasticity, Relaxation function, Viscoelastic",

author = "Mohammad Kafini",

year = "2012",

month = may,

day = "12",

language = "English",

volume = "2012",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

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T1 - Decay results for viscoelastic diffusion equations in absence of instantaneous elasticity

AU - Kafini, Mohammad

PY - 2012/5/12

Y1 - 2012/5/12

N2 - We study the diffusion equation in the absence of instantaneous elasticity where Ω⊂ℝ n, subjected to nonlinear boundary conditions. We prove that if the relaxation function g decays exponentially, then the solutions is exponential stable.

AB - We study the diffusion equation in the absence of instantaneous elasticity where Ω⊂ℝ n, subjected to nonlinear boundary conditions. We prove that if the relaxation function g decays exponentially, then the solutions is exponential stable.

KW - Diffusion equation

KW - Exponential decay

KW - Instantaneous elasticity

KW - Relaxation function

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/84863424000

M3 - Article

AN - SCOPUS:84863424000

SN - 1072-6691

VL - 2012

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Decay results for viscoelastic diffusion equations in absence of instantaneous elasticity

Abstract

Keywords

ASJC Scopus subject areas

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