Moore-Gibson-Thompson equation with memory, part II: General decay of energy

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:259

Article

Lasiecka, Irena¹  Wang, Xiaojun¹ 

[1] Memphis State Univ, Dept Math Sci, Memphis, TN 38152 USA

关键词: Moore-Gibson-Thompson equation;    Memory damping;    Energy estimate;    Convex function;    Decay rate;   

DOI  :  10.1016/j.jde.2015.08.052

来源: Elsevier

【 摘 要 】

We study a temporally third order (Moore-Gibson-Thompson) equation with a memory term. Previously it was known that, in non-critical regime, the global solutions exist and the energy functionals decay to zero. More precisely, it is known that the energy has exponential decay if the memory kernel decays exponentially. The current work is a generalization of the previous one (Part I) in that it allows the memory kernel to be more general and shows that the energy decays the same way as the memory kernel does, exponentially or not. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free