General Stability in Viscoelastic Equations: History and Recent Results

The Department of Mathematics and Statistics, College of Arts and Sciences, will hold a lecture by Dr. Salim A. Messaoudi from the King Fahd University of Petroleum and Minerals, Dhahran, Kingdom of Saudi Arabia.

The presentation will discuss the following viscoelastic problem:

Where Ω is a bounded domain of R^η (η≥1)with a smooth boundary ∂Ω, the relaxation function g is positive and non-increasing, u_0and u_1 are given data. This problem models a motion of a viscoelastic body in the absence of any frictional damping or heat effect. We give an overview of existence, nonexistence and stability results during the last three decades or so then we present some new and recent decay results which deal with a wider class of relaxation functions. We establish some general decay result, from which the well-known exponential or polynomial decay results are only special cases.

For further details, please contact [email protected].