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

Document Type

Article

Publication Date

2-1993

Department

Department of Mathematical Sciences

Abstract

Model D, a discrete model for the hydrodynamical motion of one-dimensional materials, is an alternative with some advantages over Model C (the classical, continuum model). Model D is globally well posed when the boundaries experience time dependent stresses. This is proved here when the material law is an ideal gas generalization with a viscosity of the Navier-Stokes form.

Publication Title

Mathematical and Computer Modelling

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