Supercooled Stefan problem with a Neumann type boundary condition
| dc.contributor.author | Briozzo, Adriana C. | |
| dc.date.accessioned | 2021-09-29T15:51:05Z | |
| dc.date.available | 2021-09-29T15:51:05Z | |
| dc.date.issued | 2020-05-22 | |
| dc.description.abstract | We consider a supercooled one-dimensional Stefan problem with a Neumann boundary condition and a variable thermal diffusivity. We establish a necessary and sufficient condition for the heat flux at the fixed face x=0, in order to obtain existence and uniqueness of a similarity type solution. Moreover we over-specified the fixed face x=0 by a Dirichlet boundary condition aiming at the simultaneous determination of one or two thermal coefficients. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Briozzo, A. C. (2020). Supercooled Stefan problem with a Neumann type boundary condition. <i>Electronic Journal of Differential Equations, 2020</i>(49), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14556 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Stefan problem | |
| dc.subject | Supercooling | |
| dc.subject | Non-linear thermal diffusivity | |
| dc.subject | Similarity solution | |
| dc.subject | Determination of thermal coefficient | |
| dc.title | Supercooled Stefan problem with a Neumann type boundary condition | |
| dc.type | Article |