Bresse-Timoshenko type systems with thermodiffusion effects: well-possedness, stability and numerical results

Numerical Exponential Decay to Dissipative Bresse System

We consider the Bresse system with frictional dissipative terms acting in all the equations. We show the exponential decay of the solution by using a method developed by Z. Liu and S. Zheng and their collaborators in past years. The numerical computations were made by using the finite difference method to prove the theoretical results. In particular, the finite difference method in our case is ...

Mildly dissipative nonlinear Timoshenko systems — global existence and exponential stability

the past hospitalization and its association with suicide attempts and ideation in patients with mdd and comparison with bmd (depressed type) group

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Timoshenko Systems with Indefinite Damping

We consider the Timoshenko system in a bounded domain (0, L) ⊂ R1. The system has an indefinite damping mechanism, i.e. with a damping function a = a(x) possibly changing sign, present only in the equation for the rotation angle. We shall prove that the system is still exponentially stable under the same conditions as in the positive constant damping case, and provided a = ∫ L 0 a(x) dx > 0 and...

Well-posedness and stability of a semilinear Mindlin-Timoshenko plate model

"Well-posedness and stability of a semilinear Mindlin-Timoshenko plate model" I will discuss well-posedness and long-time behavior of Mindlin-Timoshenko plate equations that describe vibrations of thin plates. This system of partial differential equations was derived by R. Mindlin in 1951 (though E. Reissner also considered an analogous model earlier in 1945). It can be regarded as a generaliza...