A selected Survey of the Mathematical Theory of 1D Flows

0348302 - MÚ 2013 RIV DE eng C - Conference Paper (international conference)
Straškraba, Ivan
A selected Survey of the Mathematical Theory of 1D Flows.
Advances in Mathematical Fluid Mechanics. Heidelberg: Springer, 2010 - (Rannacher, R.; Sequeira, A.), s. 581-587. ISBN 978-3-642-04067-2.
[Advances in mathematical fluid mechanics. Estoril (PT), 21.05.2007-25.5.2007]
R&D Projects: GA ČR GA201/08/0012
Institutional research plan: CEZ:AV0Z10190503
Keywords : compressible Navier-Stokes equations * global behavior * large data
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007%2F978-3-642-04068-9_32

The global behavior of compressible fluid in a tube is investigated under physically realistic assumptions. Different initial and boundary conditions are discussed. General conditions are established, under which the fluid stabilizes to an equilibrium state. Motivation for this study is that apriori recognition of stabilization of the fluid is important in many situations arising in industrial applications. This contribution may serve as a partial survey of some results in this respect.
Permanent Link: http://hdl.handle.net/11104/0188867