Energy Decay in Thermoelastic Bodies with Radial Symmetry

Thermoelastic Stress Analysis for Linear Thermoelastic Bodies

The thermoelastic stress analysis for linear thermoelastic bodies is developed as a mathematical support to the infra-red radiometric method (SPATE) applied to structures under cyclic loading conditions.

Polynomial Decay to Thermoelastic Plates with Memory

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...

Detecting Symmetry in Star Bodies

Let K be a convex body in R, i.e. a compact convex set with a non-empty interior. We say that K is origin-symmetric if K = −K. The presence of origin-symmetry is an essential assumption in various problems. Many results that hold for origin-symmetric convex bodies fail in the absence of the symmetry condition. For example, origin-symmetric convex bodies are uniquely determined by the volumes of...

Searching for Radial Symmetry

Symmetry is ubiquitous in the natural world. Numerous investigations, dating back over one hundred years, have explored the visual processing of symmetry. However, these studies have been concerned with mirror symmetry, overlooking radial (or rotational) symmetry, which is also prevalent in nature. Using a visual search paradigm, which approximates the everyday task of searching for an object e...