We consider two dimensional inverse steady state heat conduction problems in complex geometries. The coefficients of the elliptic equation are assumed to be non-constant. Cauchy data are given on one part of the boundary and we want to find the solution in the whole domain. The problem is ill–posed in the sense that the solution does not depend continuously on the data. Using an orthogonal coor...

Abstract This paper presents a discussion on the accuracy of method determining thermal diffusivity solids using solution inverse heat conduction equation. A new measurement data processing procedure was proposed to improve effectiveness method. Using numerical model, an analysis sensitivity determination changes in operational and environmental parameters test carried out. The obtained results...

Insight into the problem of two-dimensional turbulence can be obtained by an analogy with a heat conduction network. It allows the identification of an entropy function associated with the enstrophy dissipation and that fluctuates around a positive (mean) value. While the corresponding enstrophy network is highly nonlocal, the direction of the enstrophy current follows from the Second Law of Th...