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A note on viscous conservation laws with complex characteristics
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
2006 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 46, S55-S59 p.Article in journal (Refereed) Published
Abstract [en]

There are several physical set-ups involving multi-phase fluids that result in highly unstable behavior already at rather low flow rates. Mathematical models of these flow problems consist typically of conservation laws like conservation of mass and momentum for each phase together with coupling terms connecting the phases. For multi-phase flow the characteristics are often complex and without the dissipative terms the problem is ill-posed and not computable. We will discuss why the nonlinearity of the system can prevent blow-up.

Place, publisher, year, edition, pages
2006. Vol. 46, S55-S59 p.
Keyword [en]
complex characteristics, the principle of frozen coefficients
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-41386DOI: 10.1007/s10543-006-0084-xISI: 000243196000006Scopus ID: 2-s2.0-33750929510OAI: oai:DiVA.org:kth-41386DiVA: diva2:444451
Note
QC 20110929. Conference: Bjorn Engquist Conference. Royal Inst Technol, Stockholm, SWEDEN. JUN 16-17, 2005Available from: 2011-09-29 Created: 2011-09-27 Last updated: 2017-12-08Bibliographically approved

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