Global existence and uniform decay for the one-dimensional model of thermodiffusion with second sound
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
Boundary Value Problems 2013, 2013:222 doi:10.1186/1687-2770-2013-222Published: 7 November 2013
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.