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dc.contributor.authorWalter, Dominiken_NZ
dc.contributor.authorFichtner, Horsten_NZ
dc.contributor.authorLitvinenko, Yuri E.en_NZ
dc.date.accessioned2020-10-12T22:03:51Z
dc.date.available2020-10-12T22:03:51Z
dc.date.issued2020en_NZ
dc.identifier.citationWalter, D., Fichtner, H., & Litvinenko, Y. E. (2020). A perturbative approach to a nonlinear advection-diffusion equation of particle transport. Physics of Plasmas, 27(8). https://doi.org/10.1063/5.0003582en
dc.identifier.issn1070-664Xen_NZ
dc.identifier.urihttps://hdl.handle.net/10289/13890
dc.description.abstractWe explore analytical techniques for modeling the nonlinear cosmic ray transport in various astrophysical environments which is of significant current research interest. While nonlinearity is most often described by coupled equations for the dynamics of the thermal plasma and the cosmic ray transport or for the transport of the plasma waves and the cosmic rays, we study the case of a single but nonlinear advection-diffusion equation. The latter can be approximately solved analytically or semi-analytically, with the advantage that these solutions are easy to use and, thus, can facilitate a quantitative comparison to data. In the present study, we extend our previous work in a twofold manner. First, instead of employing an integral method to the case of pure nonlinear diffusion, we apply an expansion technique to the advection-diffusion equation. We use the technique systematically to analyze the effect of nonlinear diffusion for the cases of constant and spatially varying advection combined with time-varying source functions. Second, we extend the study from the one-dimensional, Cartesian geometry to the radially symmetric case, which allows us to treat more accurately the nonlinear diffusion problems on larger scales away from the source.
dc.language.isoenen_NZ
dc.publisherAIP Publishingen_NZ
dc.rights© 2020 AIP Publishing.
dc.subjectScience & Technologyen_NZ
dc.subjectPhysical Sciencesen_NZ
dc.subjectPhysics, Fluids & Plasmasen_NZ
dc.subjectPhysicsen_NZ
dc.subjectSHOCK ACCELERATIONen_NZ
dc.titleA perturbative approach to a nonlinear advection-diffusion equation of particle transporten_NZ
dc.typeJournal Article
dc.identifier.doi10.1063/5.0003582en_NZ
dc.relation.isPartOfPhysics of Plasmasen_NZ
pubs.elements-id256980
pubs.issue8en_NZ
pubs.publication-statusPublisheden_NZ
pubs.volume27en_NZ
dc.identifier.eissn1089-7674en_NZ
uow.identifier.article-noARTN 082901


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