On Nonparametric Modelling of Multidimensional Noninertial Systems with Delay

Abstract

This paper addresses some classes of linear and quasi-linear partial dierential algebraic equations (PDAEs), i.e. systems of partial dierential equations with singular matrices multiplying the higher derivatives of the desired vector-function. Such systems do not belong to the class of the Cauchy - Kovalevskaya equations, and therefore do not not comply with known existence theorems. The current research focuses on the rst order evolutionary systems with one variable and investigates PDAEs depending on the parameter. The concept of index for PDAEs is introduced and various statements of initial boundary problems are considered. The results obtained are used to simulate and analyze the heat and mass exchange processes in power plants.