Singularity Formation in Systems of Non-strictly Hyperbolic Equations

Simple item page
dc.contributor.authorSaxton, R.
dc.contributor.authorVinod, V.
dc.date.accessioned2018-08-23T14:55:27Z
dc.date.available2018-08-23T14:55:27Z
dc.date.issued1995-06-28
dc.description.abstractWe analyze finite time singularity formation for two systems of hyperbolic equations. Our results extend previous proofs of breakdown concerning 2 × 2 non-strictly hyperbolic systems to n × n systems, and to a situation where, additionally, the condition of genuine nonlinearity is violated throughout phase space. The systems we consider include as special cases those examined by Keyfitz and Kranzer and by Serre. They take the form ut + (ϕ(u)u)x = 0, where ϕ is a scalar-valued function of the n-dimensional vector u, and ut + Λ(u)ux = 0, under the assumption Λ = diag {λ1,..., λn} with λi = λi(u − ui), where u − ui ≡ {u1,..., ui−1, ui+1,..., un}.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSaxton, R. & Vinod, V. (1995). Singularity formation in systems of non-strictly hyperbolic equations. <i>Electronic Journal of Differential Equations, 1995</i>(09), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7589
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1995, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectFinite time breakdown
dc.subjectNon-strict hyperbolicity
dc.subjectLinear degeneracy
dc.titleSingularity Formation in Systems of Non-strictly Hyperbolic Equations
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
1995-Saxton-Vinod.pdf
Size:
216.51 KB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Electronic Journal of Differential Equations