Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation

Claude-Michel Brauner (), Lina Hu () and Luca Lorenzi ()
Additional contact information
Claude-Michel Brauner: Xiamen University, School of Mathematical Sciences
Lina Hu: Xiamen University, School of Mathematical Sciences
Luca Lorenzi: Università degli Studi di Parma, Dipartimento di Matematica e Informatica

A chapter in Partial Differential Equations: Theory, Control and Approximation, 2014, pp 139-169 from Springer

Abstract: Abstract The authors consider a free interface problem which stems from a gas-solid model in combustion with pattern formation. A third-order, fully nonlinear, self-consistent equation for the flame front is derived. Asymptotic methods reveal that the interface approaches a solution to the Kuramoto-Sivashinsky equation. Numerical results which illustrate the dynamics are presented.

Keywords: Asymptotics; Free interface; Kuramoto-Sivashinsky equation; Pseudo-differential operator; Spectral method; 35B40; 35R35; 35B35; 35K55; 80A25 (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-41401-5_5

Ordering information: This item can be ordered from
http://www.springer.com/9783642414015

DOI: 10.1007/978-3-642-41401-5_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().