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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.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
kaust.personKasimov, Aslan R.
kaust.personFaria, Luiz
refterms.dateFOA2018-06-13T09:42:59Z


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