Global Existence Theorems of a Solution of the Cauchy Problem for Systems of the Kinetic Carleman and Godunov-Sultangazin Equations

Abstract

We consider the Cauchy problem for the one-dimensional systems of the kinetic Carleman and Godunov-Sultangazin equations with bounded energy and periodic initial data. We present theorems on the global existence of a solution of the Cauchy problem for the Carleman and Godunov-Sultangazin systems.