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Open Access Research

Global existence and uniform decay for the one-dimensional model of thermodiffusion with second sound

Ming Zhang1* and Yuming Qin2

Author Affiliations

1 College of Information Science and Technology, Donghua University, Shanghai, 201620, P.R. China

2 Department of Applied Mathematics, Donghua University, Shanghai, 201620, P.R. China

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Boundary Value Problems 2013, 2013:222  doi:10.1186/1687-2770-2013-222

Published: 7 November 2013

Abstract

In this paper, we investigate an initial boundary value problem for the one-dimensional linear model of thermodiffusion with second sound in a bounded region. Using the semigroup approach, boundary control and the multiplier method, we obtain the existence of global solutions and the uniform decay estimates for the energy.

MSC: 35B40, 35M13, 35Q79.

Keywords:
thermodiffusion; second sound; global existence; exponential decay