Existence of solutions for a non-isothermal Navier-Stokes-Allen-Cahn system with thermo-induced coefficients
| dc.contributor.author | Lopes, Juliana | |
| dc.contributor.author | Planas, Gabriela | |
| dc.date.accessioned | 2023-05-15T18:44:14Z | |
| dc.date.available | 2023-05-15T18:44:14Z | |
| dc.date.issued | 2022-10-25 | |
| dc.description.abstract | This article aims to study the existence of solutions for a non-isothermal Navier-Stokes-Allen-Cahn system with thermo-induced coefficients. The system can be considered as a model describing the motion of a mixture of two viscous incompressible fluids with viscosity, thermal conductivity and interfacial thickness being temperature-dependent. This is a more general system than the previous ones considered in the literature, involving temperature dependence on all main coefficients. The strong non-linear couplings between those equations because of the temperature dependence brings new mathematical difficulties that only allows working in two dimensions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Lopes, J. H., & Planas, G. (2022). Existence of solutions for a non-isothermal Navier-Stokes-Allen-Cahn system with thermo-induced coefficients. <i>Electronic Journal of Differential Equations, 2022</i>(72), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16796 | |
| 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, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear system | |
| dc.subject | Navier-Stokes-Allen-Cahn system | |
| dc.subject | Non-isothermal phase-field | |
| dc.title | Existence of solutions for a non-isothermal Navier-Stokes-Allen-Cahn system with thermo-induced coefficients | |
| dc.type | Article |