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

Boundary value problems

Ming Zhang¹  Yuming Qin² 

[1] College of Information Science and Technology, Donghua University, Shanghai, P.R. China;Department of Applied Mathematics, Donghua University, Shanghai, P.R. China

关键词: thermodiffusion;    second sound;    global existence;    exponential decay;   

DOI  :  10.1186/1687-2770-2013-222

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY