On the exponential stability of linear thermoelasticity

Pata, Vittorino; Vuk, Elena

doi:10.1007/s001610050131

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Abstract Linear Systems With Memory 6291

Conclusive Remarks1

Exponential Stability Of Timoshenko System With G-p Thermal ...1

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2001

2023

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Cited by 12 publications

(9 citation statements)

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“…In this direction, we quote some works dealing with thermoelasic rods and plates. 1,10,11,[15][16][17][19][20][21]23,25 The plan of the paper is as follows. In Sec.…”

Section: Abstract Linear Systems With Memory 629mentioning

confidence: 99%

Stability of Abstract Linear Thermoelastic Systems With Memory

Giorgi

Pata

2001

Math. Models Methods Appl. Sci.

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“…In this direction, we quote some works dealing with thermoelasic rods and plates. 1,10,11,[15][16][17][19][20][21]23,25 The plan of the paper is as follows. In Sec.…”

Section: Abstract Linear Systems With Memory 629mentioning

confidence: 99%

Stability of Abstract Linear Thermoelastic Systems With Memory

Giorgi

Pata

2001

Math. Models Methods Appl. Sci.

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“…An analogous approach was used in [20] to prove the exponential stability of a system in linear thermoelasticity.…”

Section: Conclusive Remarksmentioning

confidence: 99%

Asymptotic Decay for Some Differential Systems with Fading Memory

Fabrizio

Polidoro

2002

Applicable Analysis

105

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We study the large time behavior of the solution u to an initial and boundary value problem related to the following integro-differential equationIt is known that, when G ≡ 0 and a > 0, the solution u of (0.1) exponentially decays. Here we prove that, for any non-negative a and for any G ≡ 0, the solution u of the equation (0.1) exponentially decays only if the relaxation kernel G does. In other words, the introduction of the dissipative term related to G does not allow the exponential decay due to the presence of the positive coefficient a. We also prove analogous results for the polynomial decay.

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“…Substituting u, φ, θ just obtained in ( 22), ( 24) and ( 28), we infer that v ∈ H 1 0 (0, π), ϕ ∈ H 1 * (0, π) and η ∈ H 1 µ (0, +∞) ; H 1 0 (0, π) . Moreover, (26)…”

Section: Exponential Stability Of Timoshenko System With G-p Thermal ...mentioning

confidence: 99%