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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
51/2001

Temporal asymptotics for the p'th power newtonian fluid in one space dimension

Marta Lewicka and Stephen J. Watson

Abstract

In this paper we consider a variety of initial-boundary value problems for the p'th power Newtonian fluid in one space dimension. We extend previously known results for the ideal gas case to a more general p'th power gas law, subject to the pinned endpoints and Dirichlet or Neumann temperature boundary conditions. The exponential convergence of the temperature, velocity and density is established for generic initial data. The estimates for different boundary conditions are presented in a unified manner.

Received:
30.08.01
Published:
30.08.01
MSC Codes:
76N10, 35Q10
Keywords:
a priori bounds, navier-stokes, newtonian fluid, p'th power gas, temporal asymptotics

Related publications

inJournal
2003 Repository Open Access
Marta Lewicka and Stephen J. Watson

Temporal asymptotics for the p'th power Newtonian fluid in one space dimension

In: Zeitschrift für Angewandte Mathematik und Physik, 54 (2003) 4, pp. 633-651