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On the General Decay for a System of Viscoelastic Wave Equations

In: Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Author

Listed:
  • Salim A. Messaoudi

    (University of Sharjah, Department of Mathematics)

  • Jamilu Hashim Hassan

    (King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics)

Abstract

This work is concerned with a coupled system of nonlinear viscoelastic wave equations that models the interaction of two viscoelastic fields. This system has been extensively studied by many authors for relaxation functions decaying exponentially, polynomially, or with some general decay rate. We prove a new general decay result that improves most of the existing results in the literature related to the system of viscoelastic wave equations. Our result allows wider classes of relaxation functions.

Suggested Citation

  • Salim A. Messaoudi & Jamilu Hashim Hassan, 2019. "On the General Decay for a System of Viscoelastic Wave Equations," Springer Books, in: Hemen Dutta & Ljubiša D. R. Kočinac & Hari M. Srivastava (ed.), Current Trends in Mathematical Analysis and Its Interdisciplinary Applications, chapter 0, pages 287-310, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-15242-0_10
    DOI: 10.1007/978-3-030-15242-0_10
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