On the exponential and polynomial stability for a linear Bresse system
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.6070
Abstract: In this paper, we consider a linear one-dimensional Bresse system consisting of three hyperbolic equations coupled in a certain manner under mixed homogeneous Dirichlet-Neumann boundary conditions. Here, we consider that only the longitudinal displacement is… read more here.
Keywords: exponential polynomial; system; polynomial stability; bresse system ... See more keywords
The effect of the heat conduction of types I and III on the decay rate of the Bresse system via the longitudinal displacement
Sign Up to like & getrecommendations! Published in 2019 at "Arabian Journal of Mathematics"
DOI: 10.1007/s40065-018-0210-z
Abstract: In this paper, we consider the thermoelastic Bresse system in one-dimensional bounded interval under mixed homogeneous Dirichlet–Neumann boundary conditions and two different kinds of dissipation working only on the longitudinal displacement and given by heat… read more here.
Keywords: heat conduction; system; bresse system;
New decay rates for Cauchy problem of the Bresse system in thermoelasticty type III
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1699654
Abstract: ABSTRACT In this paper, we consider the Bresse system in thermoelasticity of type III, we prove new decay results for the -norm of the solution and its higher order derivatives. To prove our results, we… read more here.
Keywords: system; new decay; type iii; bresse system ... See more keywords
Discrete observability of the Bresse system
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DOI: 10.1177/10812865221109159
Abstract: In this work, a recent type of observability inequality for the Bresse system in one-dimensional–bounded domain is investigated. First, a finite element implicit Euler scheme is studied. More precisely, a priori error estimate is established… read more here.
Keywords: bresse system; observability bresse; observability; discrete observability ... See more keywords
Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay
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DOI: 10.15672/hujms.568332
Abstract: In this paper, we consider a one-dimensional thermoelastic-Bresse system with a delay t erm, where the heat conduction is given by Cattaneo’s law effective in the shear angle displacement. We prove that the system is… read more here.
Keywords: thermoelastic bresse; system; bresse system; delay ... See more keywords
General decay of solutions of a Bresse system with viscoelastic boundary conditions
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DOI: 10.3934/dcds.2017209
Abstract: In this paper we are concerned with a multi-dimensional Bresse system, in a bounded domain, where the memory-type damping is acting on a portion of the boundary. We establish a general decay results, from which… read more here.
Keywords: decay solutions; bresse system; system viscoelastic; solutions bresse ... See more keywords