A New Perspective on the Energy Decay of the Timoshenko–Ehrenfest System: The Non-Local Truncated Approach

Key Points

• To explore energy decay characteristics in a nonlocal truncated Timoshenko–Ehrenfest system through novel approaches.
• Developed a nonlocal truncated model of the Timoshenko system.
• Established well-posedness using the Faedo-Galerkin method.
• Derived energy stability and decay properties using multiplier techniques.
• Constructed a numerical scheme to validate theoretical findings.
• Provided numerical simulations to illustrate exponential decay of discrete energy.
• Confirmed well-posedness of the proposed model.
• Demonstrated energy stability and decay properties through mathematical derivation.
• Illustrated exponential decay in numerical simulations, supporting theoretical claims.

Abstract