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A new stability number of the Bresse‐Cattaneo system
Mathematical Methods in the Applied Sciences, 2018In this paper, we consider the Bresse‐Cattaneo system with a frictional damping term and prove some optimal decay results for the L2‐norm of the solution and its higher order derivatives. In fact, we show that there is a completely new stability number δ that controls the decay rate of the solution. To prove our results, we use the energy method in the
Leila Djouamai, Belkacem Said‐Houari
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Energy decay rate of the thermoelastic Bresse system
Zeitschrift für angewandte Mathematik und Physik, 2008In this paper, we study the energy decay rate for the thermoelastic Bresse system which describes the motion of a linear planar, shearable thermoelastic beam. If the longitudinal motion and heat transfer are neglected, this model reduces to the well-known thermoelastic Timoshenko beam equations.
Zhuangyi Liu, Bopeng Rao
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Exponential stability for a thermoelastic Bresse system: Theoretical and numerical study
Mathematical Methods in the Applied Sciences, 2022This study aims to investigate numerically and theoretically a thermoelastic Bresse system where the heat conduction given by the Green and Naghdi theories. Theoretically, we establish the existence and uniqueness of solutions as well as the exponential stability regardless of the system's parameters.
Hamed Abderrahmane Bouraoui +3 more
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Asymptotic behavior to Bresse system with past history
Quarterly of Applied Mathematics, 2014Summary: In this paper we consider the Bresse system with past history acting in the shear angle displacement. We show the exponential decay of the solution if and only if the wave speeds are the same. On the contrary, we show that the Bresse system is polynomial stable with optimal decay rate.
Santos, Mauro de Lima +2 more
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Optimal memory-type boundary control of the Bresse system
Asymptotic Analysis, 2022In this paper, we study the stability of a Bresse system with memory-type boundary conditions. For a wider class of kernel functions, we establish an optimal explicit energy decay result. Our stability result improves many earlier results in the literature.
Feng, Baowei +3 more
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Stability for a Thermoelastic Bresse System
2016In this chapter, we shall use the multiplier techniques to prove the exponential stability result only for equal wave speeds for the following thermoelastic Bress system.
Yuming Qin, Zhiyong Ma
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Rates of decay to weak thermoelastic Bresse system
IMA Journal of Applied Mathematics, 2010We consider the Bresse system with temperature and we show that there exist exponential stability if and only if the wave propagation is equal. We show that, in general, the system is not exponentially stable but that there exists polynomial stability with rates that depend on the wave propagations and the regularity of the initial data.
L. H. Fatori, J. E. Munoz Rivera
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A general decay estimate for a finite memory thermoelastic Bresse system
Applications of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enyi, Cyril Dennis, Mukiawa, Soh Edwin
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Exact controllability for Bresse system with variable coefficients
Mathematical Methods in the Applied Sciences, 2015This paper is concerned with the internal exact controllability of a generalized Bresse system with variable coefficients, which the controls functions acts in an arbitrarily small subinterval (l1,l2) of (0,L). Our computation suggests a minimal time control and a region where the controls are more effective.
Soriano, J. A., Schulz, R. A.
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Stability conditions to Bresse systems with indefinite memory dissipation
Applicable Analysis, 2018We study the asymptotic behavior of Bresse system with non-dissipative kernel memory acting only in the equation of longitudinal displacement.
Luci Harue Fatori +2 more
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