He problem of determining the one-dimensional kernel of the viscoelasticity system

Аннотация

Many physical processes are described by a system of equations of the hyperbolic type of the first order. For example, systems of an incompressible viscoelastic polymeric fluid, etc. It is well known that second-order equations are derived from them with the help of a number of additional restrictions. The solution of inverse problems leads directly to the solution of these systems. Hyperbolic systems of equations of the first order describe many physical processes associated with the propagation of waves of various nature. For example, we can indicate the systems of equations of acoustics, electromagnetic oscillations, the theory of elasticity. Systematic research in this area was carried out in the 1970s by L.P. Nizhnik, S.P. Belinsky, V.G. Romanov and L.I. Slinyuchev began in the work of scientists