Exponential decay rates for a full von Karman thermoelastic system with nonlinear thermal coupling

Explicit Exponential Decay Rates for Solutions of Von K Arm An's System of Thermoelastic Plates

{ We consider the von KK armm an system for a bounded smooth ther-moelastic plate clamped on its boundary. We prove explicit exponential decay rates showing that the energy of solutions corresponding to initial data of energy equal to R decays as t ! 1 like exp (?!t=(1 + R 2)) for some universal positive constant !. A energia total E(t) decai como exp (?!t=(1 + R 2)) quando t vai para +1 sendo ...

Exponential Decay in Thermoelastic Systems with Internal Distributed Delay

In this paper, we are concerned with the following problem  autt(x, t)− duxx(x, t) + βθx(x, t) = 0, in (0, L)× (0,∞) bθt(x, t)− k1θxx(x, t)− ∫ τ 2 τ 1 k2(s)θxx(x, t− s)ds+ βuxt(x, t) = 0, in (0, L)× (0,∞) u(x, 0) = u0(x), ut(x, 0) = u1(x), θ(x, 0) = θ0(x), x ∈ (0, L) θx(x,−t) = f0(x, t), x ∈ (0, L), t ∈ (0, τ 2), (1.1) a thermoelastic system with a distributed delay associated with initi...

Existence and Uniform Decay of Weak Solutions for Nonlinear Thermoelastic System with Memory

Decay rates for elastic-thermoelastic star-shaped networks

This work discusses the asymptotic behavior of a transmission problem on star-shaped networks of interconnected elastic and thermoelastic rods. Elastic rods are undamped, of conservative nature, while the thermoelastic ones are damped by thermal effects. We analyze the overall decay rate depending of the number of purely elastic components entering on the system and the irrationality properties...

Existence and Exponential Decay of Solutions to a Quasilinear Thermoelastic System

We consider a quasilinear PDE system which models nonlinear vibrations of a thermoelastic plate defined on a bounded domain in R, n ≤ 3. Existence of finite energy solutions describing the dynamics of a nonlinear thermoelastic plate is established. In addition asymptotic long time behavior of weak solutions is discussed. It is shown that finite energy solutions decay exponentially to zero with ...