Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Karman Beam with Thermal Effect and Time-Varying Delay

In this work, we consider a new full von Karman beam model with thermal and mass diffusion effects according to the Gurtin-Pinkin model combined with time-varying delay. Heat and mass exchange with the environment during thermodiffusion in the von Karman beam. We establish the well-posedness and the exponential stability of the system by the energy method under suitable conditions.

Automated summary

In this work, a new full von Karman beam model with thermal and mass diffusion effects is considered based on the Gurtin-Pinkin model combined with time-varying delay. Heat and mass exchange with the environment during thermodiffusion in the von Karman beam. The well-posedness and exponential stability of the system are established using the energy method under suitable conditions.