The Existence of Global Solutions to a Fluid Dynamic Model for Materials for Korteweg Type

The Existence of Global Solutions to a Fluid Dynamic Model for Materials for Korteweg Type

Year:    1996

Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 4 : pp. 323–342

Abstract

We discuss the existence of global solutions to a fluid dynamic model for materials of Korteweg type, and discuss the three dimensional nonisothermal motion. The higher order derivatives of density in the constitutive relation makes it necessary to introduce an interstitial working term in the energy equation. This makes the energy estimate more involved. Nevertheless, it is possible to show the existence of global solutions by the euergy method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1996-JPDE-5632

Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 4 : pp. 323–342

Published online:    1996-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    Korteweg material