| dc.contributor.author | Pettersson, Irina | |
| dc.contributor.author | Piatnitski, Andrey | |
| dc.date.accessioned | 2018-04-10T08:12:30Z | |
| dc.date.available | 2018-04-10T08:12:30Z | |
| dc.date.issued | 2017-12-21 | |
| dc.description.abstract | We study the existence and uniqueness of a solution to a linear stationary convection–diffusion equation stated in an infinite cylinder, Neumann boundary condition being imposed on the boundary. We assume that the cylinder is a junction of two semi-infinite cylinders with two different periodic regimes. Depending on the direction of the effective convection in the two semi-infinite cylinders, we either get a unique solution, or one-parameter family of solutions, or even non-existence in the general case. In the latter case we provide necessary and sufficient conditions for the existence of a solution. | en_US |
| dc.description | Accepted manuscript version. Published version available at <a href=https://doi.org/10.1016/j.jde.2017.12.015>https://doi.org/10.1016/j.jde.2017.12.015</a>. | en_US |
| dc.identifier.citation | Pettersson, I. & Piatnitski, A. (2018). Stationary convection-diffusion equation in an infinite cylinder. <i>Journal of Differential Equations, 264</i>(7), 4456-4487. https://doi.org/10.1016/j.jde.2017.12.015 | en_US |
| dc.identifier.cristinID | FRIDAID 1530721 | |
| dc.identifier.doi | 10.1016/j.jde.2017.12.015 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.issn | 1090-2732 | |
| dc.identifier.uri | https://hdl.handle.net/10037/12505 | |
| dc.language.iso | eng | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.journal | Journal of Differential Equations | |
| dc.rights.accessRights | openAccess | en_US |
| dc.subject.keyword | Convection–diffusion equation | |
| dc.subject.keyword | Infinite cylinder | |
| dc.subject.keyword | Stabilization at infinity | |
| dc.subject.keyword | Effective drift | |
| dc.subject | VDP::Mathematics and natural science: 400 | en_US |
| dc.title | Stationary convection-diffusion equation in an infinite cylinder | en_US |
| dc.type | Journal article | en_US |
| dc.type | Tidsskriftartikkel | no |
| dc.type | Peer reviewed | en_US |
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