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dc.contributor.author
Christodoulou, Demetrios
dc.contributor.author
Miao, Shuang
dc.date.accessioned
2017-06-10T11:44:13Z
dc.date.available
2017-06-10T11:44:13Z
dc.date.issued
2012
dc.identifier.uri
http://hdl.handle.net/20.500.11850/59504
dc.description.abstract
We consider the classical compressible Euler's Equations in three space dimensions with an arbitrary equation of state, and whose initial data corresponds to a constant state outside a sphere. Under suitable restriction on the size of the initial departure from the constant state, we establish theorems which give a complete description of the maximal development. In particular, the boundary of the domain of the maximal solution contains a singular part where the inverse density of the wave fronts vanishes and the shocks form. We obtain a detailed description of the geometry of this singular boundary and a detailed analysis of the behavior of the solution there.
dc.language.iso
en
dc.publisher
Cornell University
dc.title
Compressible Flow and Euler's Equations
dc.type
Working Paper
ethz.pages.start
arXiv:1212.2867
ethz.notes
Submitted 12 December 2012.
ethz.publication.place
Ithaca, NY
ethz.publication.status
accepted
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03583 - Christodoulou, Demetrios (emeritus)
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03583 - Christodoulou, Demetrios (emeritus)
ethz.identifier.url
http://arxiv.org/abs/1212.2867
ethz.date.deposited
2017-06-10T11:44:43Z
ethz.source
ECIT
ethz.identifier.importid
imp593650108fe2095714
ethz.ecitpid
pub:95051
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-12T22:59:14Z
ethz.rosetta.lastUpdated
2018-10-01T19:04:16Z
ethz.rosetta.versionExported
true
ethz.COinS
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