How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
We present a model for nonlocal diffusion with Neumann boundary conditions in a bounded smooth domain prescribing the flux through the boundary. We study the limit of this family of nonlocal diffusion operators when a rescaling parameter related to the kernel of the nonlocal operator goes to zero. W...
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00039527_v187_n1_p137_Cortazar |
| Aporte de: |
| id |
todo:paper_00039527_v187_n1_p137_Cortazar |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_00039527_v187_n1_p137_Cortazar2023-10-03T13:56:44Z How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems Cortazar, C. Elgueta, M. Rossi, J.D. Wolanski, N. We present a model for nonlocal diffusion with Neumann boundary conditions in a bounded smooth domain prescribing the flux through the boundary. We study the limit of this family of nonlocal diffusion operators when a rescaling parameter related to the kernel of the nonlocal operator goes to zero. We prove that the solutions of this family of problems converge to a solution of the heat equation with Neumann boundary conditions. © 2007 Springer-Verlag. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Wolanski, N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00039527_v187_n1_p137_Cortazar |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
We present a model for nonlocal diffusion with Neumann boundary conditions in a bounded smooth domain prescribing the flux through the boundary. We study the limit of this family of nonlocal diffusion operators when a rescaling parameter related to the kernel of the nonlocal operator goes to zero. We prove that the solutions of this family of problems converge to a solution of the heat equation with Neumann boundary conditions. © 2007 Springer-Verlag. |
| format |
JOUR |
| author |
Cortazar, C. Elgueta, M. Rossi, J.D. Wolanski, N. |
| spellingShingle |
Cortazar, C. Elgueta, M. Rossi, J.D. Wolanski, N. How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems |
| author_facet |
Cortazar, C. Elgueta, M. Rossi, J.D. Wolanski, N. |
| author_sort |
Cortazar, C. |
| title |
How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems |
| title_short |
How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems |
| title_full |
How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems |
| title_fullStr |
How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems |
| title_full_unstemmed |
How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems |
| title_sort |
how to approximate the heat equation with neumann boundary conditions by nonlocal diffusion problems |
| url |
http://hdl.handle.net/20.500.12110/paper_00039527_v187_n1_p137_Cortazar |
| work_keys_str_mv |
AT cortazarc howtoapproximatetheheatequationwithneumannboundaryconditionsbynonlocaldiffusionproblems AT elguetam howtoapproximatetheheatequationwithneumannboundaryconditionsbynonlocaldiffusionproblems AT rossijd howtoapproximatetheheatequationwithneumannboundaryconditionsbynonlocaldiffusionproblems AT wolanskin howtoapproximatetheheatequationwithneumannboundaryconditionsbynonlocaldiffusionproblems |
| _version_ |
1807322266618298368 |