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Seminar-On the stability of some wave and viscoelastic systems with non-standard nonlinearities

M7-221 20 SEP 20224 PM


With the advancement of sciences and technology, many physical and engineering models require more sophisticated mathematical functional spaces to be well understood. For example, in fluid dynamics, the electrorheological 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 image processing. 

In this project, we considered several wave and viscoelastic “weakly” damped problems with variable-exponent nonlinearities having time-dependent coefficients and discuss the stability in the presence and absence of forcing terms. In this regard, several results have been established and many known stability results in the constant-variable case were extended to the variable-exponent case. 


Date: Tuesday, September 20, 2022 

Time: 4:00 pm 

LocationM7 – 221 ​

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