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dc.contributor.authorKasimov, Aslan R.
dc.contributor.authorFaria, Luiz
dc.contributor.authorRosales, Rodolfo R.
dc.date.accessioned2015-05-14T12:16:20Z
dc.date.available2015-05-14T12:16:20Z
dc.date.issued2013-03-08
dc.identifier.citationModel for Shock Wave Chaos 2013, 110 (10) Physical Review Letters
dc.identifier.issn0031-9007
dc.identifier.issn1079-7114
dc.identifier.pmid23521260
dc.identifier.doi10.1103/PhysRevLett.110.104104
dc.identifier.urihttp://hdl.handle.net/10754/552862
dc.description.abstractWe propose the following model equation, ut+1/2(u2−uus)x=f(x,us) that predicts chaotic shock waves, similar to those in detonations in chemically reacting mixtures. The equation is given on the half line, x<0, and the shock is located at x=0 for any t≥0. Here, us(t) is the shock state and the source term f is taken to mimic the chemical energy release in detonations. This equation retains the essential physics needed to reproduce many properties of detonations in gaseous reactive mixtures: steady traveling wave solutions, instability of such solutions, and the onset of chaos. Our model is the first (to our knowledge) to describe chaos in shock waves by a scalar first-order partial differential equation. The chaos arises in the equation thanks to an interplay between the nonlinearity of the inviscid Burgers equation and a novel forcing term that is nonlocal in nature and has deep physical roots in reactive Euler equations.
dc.publisherAmerican Physical Society (APS)
dc.relation.urlhttp://link.aps.org/doi/10.1103/PhysRevLett.110.104104
dc.rightsArchived with thanks to Physical Review Letters
dc.titleModel for Shock Wave Chaos
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalPhysical Review Letters
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDepartment of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
dc.identifier.arxividarXiv:1202.2989
kaust.personKasimov, Aslan R.
kaust.personFaria, Luiz
refterms.dateFOA2018-06-13T09:42:59Z


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