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

Autor: Marta Lewicka, Stephen J. Watson
Rok vydání: 2003
Předmět:
Zdroj: Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP). 54:633-651
ISSN: 1420-9039
0044-2275
DOI: 10.1007/s00033-003-1149-1
Popis: The balance laws of mass, momentum and energy are considered for a p’th power Newtonian fluid undergoing one dimensional longitudinal motions. For initial-boundary value problems involving fixed endpoints held at a prescribed temperature or insulated, we prove exponential convergence of solutions to equilibria for generic initial data. The estimates for different boundary conditions are presented in a unified manner by utilising the thermodynamic concept of availability.
Databáze: OpenAIRE