A celebrated result by Orlov states that any fully faithful exact functor between the bounded derived categories of coherent sheaves on smooth projective varieties is geometric origin, i.e. it a Fourier–Mukai functor. In this paper we prove variety dimension $\ge 3$ equipped with tilting bundle can serve as source non-Fourier–Mukai schemes.

This paper presents the solution for transient heat conduction around a cylindrical irregular inclusion of infinite length, inserted in a homogeneous elastic medium and subjected to heat point sources placed at some point in the host medium. The solution is computed in the frequency domain for a wide range of frequencies and axial wavenumbers, and time series are then obtained by means of (fast...

The thermal behaviour is critical in numerous applications, affecting any device’s lifetime and safe operations. Adding that the technological development resulted appearance of complex material structures, making research on advanced models even more important. Materials like 3D printed foams, or with a biological origin often show non-Fourier response. Modelling such problem requires thorough...

There are several models f or heat conduction - non-Fourier equations in the literature that important for various practical problems. These manifest themselves partial differential equations, and application of which requires developing efficient reliable solution methods. In present paper, we focus on analytical solutions two models, specifically Maxwell-Cattaneo-Vernotte Guyer-Krumhansl as t...

The non-stationary heat transfer inside a cylindrical channel of shafted screw conveyor, electrically heated, and filled with moving biomass was analyzed. problem transport is encountered in the processes pyrolysis food products’ sterilization. To solve conduction equation initial boundary conditions, methods expansion given unknown functions into Fourier series angular coordinate, Laplace inte...