Exponential decay in one-dimensional porous-thermo-elasticity

Exponential decay in one-dimensional porous-thermo-elasticity

This paper concerns the one dimensional problem of the porous-thermo-elasticity. Two kinds of dissipation process are considered: the viscosity type in the porous structure and the thermal dissipation. It is known that when only thermal damping is considered or when only porous damping is considered we have the slow decay of the solutions. Here we prove that when both kinds of dissipation terms...

Slow Decay in Linear Thermo-elasticity

Energy estimates show that linearized thermo-elasticity deenes a contraction semi-group on a Hilbert space. We show that under a geometric condition this contraction is not strict, or, more precisely, the norm of the semi group is 1 for all t 0. Convex domains always satisfy the geometric condition. 2. introduction Let R n be a bounded domain with smooth boundary ?. We consider the problem @ 2 ...

Thermo-Electric Properties of One-Dimensional Constrictions

This thesis describes low-temperature transport measurements in low-dimensional systems fabricated in high-mobility GaAs/AlGaAs heterostructures. These lowdimensional systems are formed by electrostatically constricting the electrons in the two-dimensional electron gas at the interface of the heterostructure, by applying a voltage to a pair of metallic gates known as a split-gate. At low temper...

Spontaneous decay rates in one-dimensional waveguides

It is well-known that the spontaneous decay rates of emitting sources such as atoms or quantum wells can be largely modified in optical micro-cavities. − 4 Controlled spontaneous-emission plays a key role in a new generation of micro and nano-optical devices. Highperformance micro-cavity lasers, for instance, have been already experimentally demonstrated. 6 Spontaneous decay rates modifications...

Decay of Correlations in One-dimensional Dynamics