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;
Asymptotic behavior for a semilinear Bresse system with variable coefficients and locally distributed nonlinear dissipation
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0179605
Abstract: In this paper, we consider a semilinear Bresse system in one dimensional bounded non homogeneous medium. We investigate stability issues for such a problem with a nonlinear damping acting in all three wave equations. We… read more here.
Keywords: behavior semilinear; semilinear bresse; asymptotic behavior; bresse system ... See more keywords
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
Sign Up to like & getrecommendations! Published in 2022 at "Mathematics and Mechanics of Solids"
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
Sign Up to like & getrecommendations! Published in 2019 at "Hacettepe Journal of Mathematics and Statistics"
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
Strong Stability of the Thermoelastic Bresse System with Second Sound and Fractional Delay
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DOI: 10.3390/axioms14030176
Abstract: The thermoelastic Bresse system is a mathematical model that describes the dynamic behavior of elastic beams accounting for both mechanical deformations and thermal effects. Incorporating concepts such as second sound and fractional delay into this… read more here.
Keywords: system; bresse system; thermoelastic bresse; fractional delay ... See more keywords
General decay of solutions of a Bresse system with viscoelastic boundary conditions
Sign Up to like & getrecommendations! Published in 2017 at "Discrete and Continuous Dynamical Systems"
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