Nonlocal Effects in Materials and Memory Formalism in Modelling Physical Properties and Heat-Mass Transfer

Pr. Jordan HRISTOV

Department of Chemical Engineering. University of Chemical Technology and Metallurgy, Bulgaria.

The lecture presents the nonlocal effect in modelling material properties, such local defects and change in material properties (Density, Heat Conductivity or Diffusivity), their physical basis and the memory formalism applied in mathematical modelling. Precisely, problems concerning the principle of peridynamics in material non-homogeneity modelling and the finite speeds of heat and mass adequately modelled by time and space fractional operators are at issue.


Pr. Jordan HRISTOV : Professor of Chemical Engineering at the University of Chemical Technology and Metallurgy, Sofia, Bulgaria. He was graduated in 1979 as Electrical Engineer (MS equivalent) at the Technical University, Sofia, Bulgaria. His PhD thesis on the magnetically assisted fluidization was awarded by the University of Chemical Technology and Metallurgy in 1995. His Doctor of Science Thesis on non-linear and non-local diffusion models was awarded in 2018. Prof. Hristov’s research interests cover the areas of particulate solids mechanics, fluidisation, heat and mass transfer with special emphasis on scaling and approximate solutions of nonlinear problems. His recent direction in mathematical modelling is the nonlocality in transport phenomena with emphasis on application of the fractional calculus.