Prof. Salim A. Messaoudi
A Stability for a Nonlinear Damped Wave Equation with Variable-Exponent Nonlinearities.
Wednesday Mar 6th 2019
14:00 – 15:00
M7 – 2nd floor – Room No. 221
With the advancement of sciences and technology, many physical and engineering models require more sophisticated mathematical functional spaces to be studied and well understood. For example, in fluid dynamics, theelectrorheological fluids (smart fluids) have the property that the viscosity changes (often dramatically) when exposed to an electrical field. The Lebesgue and Sobolev spaces with variable exponents proved to be efficient tools to study such problems as well as other models like the image processing. In this work, we consider the following nonlinear wave equation with variable exponents:
in a bounded domain. By using a lemma by Komornik, we prove the decay estimates for the solution under suitable assumptions on the variable exponents and the given initial data.
ALL ARE CORDIALLY INVITED