8 July 2015, 11:00, LIT room 310

V.N. Robuk “Latent solutions to the heat mass transfer equation in a 1+3 dimension”

Abstract A new class of analytical solutions – the latent solutions – has been obtained for a parabolic-type equation with constant complex coefficients in a 1+3 dimension with the help of symmetry operators. The etymology of this term is that the latent solutions, for example for the heat mass transfer equation, have quite difficult initial conditions, and for the time essentially exceeding some finite quantity, the latent solution asymptotically tends to a fundamental solution. In view of these two reasons it is a problem to find them by numerical methods. Two special cases, i.e. a heat mass transfer equation and a Schroedinger equation, are analyzed.