Непрерывная зависимость решений линеаризованной начально-краевой задачи транспорта многокомпонентных наносов от входных данных задачи

Abstract

We consider a chain of problems linearized on a time grid that describe the processes of transport of multicomponent sediments in relation to coastal marine systems. In the author's previous works, the conditions for the existence and uniqueness of a solution to this class of problems were determined, while simultaneously determining the requirements for the smoothness classes of the input data of the problem. The result of this study is related to obtaining an a priori estimate of the norm for solving the problem depending on the integral esti-mates of the right-hand side, boundary conditions and the norm of the initial condition. The obtained a priori estimates allow us to further carry out computationally stable calculations with respect to small errors in the initial data and to errors that arise during calculations.