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dc.contributor.authorLi, Ping
dc.date.accessioned2017-01-30T12:56:48Z
dc.date.available2017-01-30T12:56:48Z
dc.date.created2015-10-29T04:09:50Z
dc.date.issued2011
dc.identifier.citationLi, P. 2011. Anisotropic Burgers equation with an anisotropic perturbation. Communications in Nonlinear Science and Numerical Simulation. 16 (2): pp. 673-689.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/27073
dc.identifier.doi10.1016/j.cnsns.2010.04.028
dc.description.abstract

In this paper we propose an anisotropic Burgers equation with an anisotropic perturbation, which governs many nonlinear dynamic processes in an anisotropic diffusive (viscous) medium. Using conventional transformation methods, we find the analytical solution for the initial-value problem of the Burgers equation in a 2D anisotropic space. Based on the new development of the 2D Laplace's theorem, we obtain the spatial asymptotic solution as the elements and determinant of the diffusive tensor approach zero. Finally, we also derive the temporal asymptotic solution as time goes to infinity for the 2D anisotropic Burgers system.

dc.titleAnisotropic Burgers equation with an anisotropic perturbation
dc.typeJournal Article
dcterms.source.volume16
dcterms.source.number2
dcterms.source.startPage673
dcterms.source.endPage689
dcterms.source.issn1007-5704
dcterms.source.titleCommunications in Nonlinear Science and Numerical Simulation
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available


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