Control of PDEs and related topics

Indirect stabilization of nonlinear coupled wave equations in the presence of time delay effects

1 juil. 2025, 16:45

45m

Amphi Schwartz (IMT)

Orateur

Cristina Pignotti (Aquila, Italy)

Description

We consider a system of two wave equations with nonlinear source terms coupled through their velocities. One equation is damped, while the other experiences a pointwise time delay. By reformulating the problem in an abstract framework, we use semigroup theory and energy methods to establish well-posedness and derive conditions guaranteeing exponential energy decay for small initial data.