Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913532061155328 |
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| author | Briozzo, Adriana C. |
| author_facet | Briozzo, Adriana C. |
| contents | We consider a one-dimensional free boundary problem governed by a nonlinear diffusion - convection equation with a Neumann condition at fixed face $x=0$, which is variable in time and a like Stefan convective condition on the free boundary. Through successive transformations, an integral representation of the problem is obtained that involves a system of coupled nonlinear integral equations. Existence of the solution is obtained for all times by using fixed point theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03564 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition Briozzo, Adriana C. Analysis of PDEs 35R35, 45D05, 35K55 We consider a one-dimensional free boundary problem governed by a nonlinear diffusion - convection equation with a Neumann condition at fixed face $x=0$, which is variable in time and a like Stefan convective condition on the free boundary. Through successive transformations, an integral representation of the problem is obtained that involves a system of coupled nonlinear integral equations. Existence of the solution is obtained for all times by using fixed point theorems. |
| title | Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition |
| topic | Analysis of PDEs 35R35, 45D05, 35K55 |
| url | https://arxiv.org/abs/2410.03564 |