Initial-boundary value problems for a discrete hydrodynamical model (model d) with velocity boundary conditions are globally well posed

Document Type

Article

Publication Date

1989

Department

Department of Mathematical Sciences

Abstract

A discrete model for the one-dimensional motion of a hydrodynamical material is globally well posed when the boundaries have time dependent velocities imposed. The proof is given for the case where the material law is a generalization of the ideal gas form with a viscosity of the Navier-Stokes form. This modelling approach suggests a simple solution to the problem of the deterministic modelling of turbulent motions.

Publication Title

Mathematical and Computer Modelling

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