Stable manifold approximation for the heat equation with nonlinear boundary condition
In this paper we study the dynamic behavior of positive solutions of the heat equation in one space dimension with a nonlinear flux boundary condition of the type ux = up-u at x = 1. We analyze the behavior of a semidiscrete numerical scheme in order to approximate the stable manifold of the only po...
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todo:paper_10407294_v12_n3_p557_Acosta2023-10-03T15:58:03Z Stable manifold approximation for the heat equation with nonlinear boundary condition Acosta, G. Bonder, J.F. Rossi, J.D. Nonlinear boundary conditions Numerical approximations Stable manifold In this paper we study the dynamic behavior of positive solutions of the heat equation in one space dimension with a nonlinear flux boundary condition of the type ux = up-u at x = 1. We analyze the behavior of a semidiscrete numerical scheme in order to approximate the stable manifold of the only positive steady solution. We also obtain some stability properties of this positive steady solution and a description of its table manifold. © 2000 Plenum Publishing Corporation. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10407294_v12_n3_p557_Acosta |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Nonlinear boundary conditions Numerical approximations Stable manifold |
| spellingShingle |
Nonlinear boundary conditions Numerical approximations Stable manifold Acosta, G. Bonder, J.F. Rossi, J.D. Stable manifold approximation for the heat equation with nonlinear boundary condition |
| topic_facet |
Nonlinear boundary conditions Numerical approximations Stable manifold |
| description |
In this paper we study the dynamic behavior of positive solutions of the heat equation in one space dimension with a nonlinear flux boundary condition of the type ux = up-u at x = 1. We analyze the behavior of a semidiscrete numerical scheme in order to approximate the stable manifold of the only positive steady solution. We also obtain some stability properties of this positive steady solution and a description of its table manifold. © 2000 Plenum Publishing Corporation. |
| format |
JOUR |
| author |
Acosta, G. Bonder, J.F. Rossi, J.D. |
| author_facet |
Acosta, G. Bonder, J.F. Rossi, J.D. |
| author_sort |
Acosta, G. |
| title |
Stable manifold approximation for the heat equation with nonlinear boundary condition |
| title_short |
Stable manifold approximation for the heat equation with nonlinear boundary condition |
| title_full |
Stable manifold approximation for the heat equation with nonlinear boundary condition |
| title_fullStr |
Stable manifold approximation for the heat equation with nonlinear boundary condition |
| title_full_unstemmed |
Stable manifold approximation for the heat equation with nonlinear boundary condition |
| title_sort |
stable manifold approximation for the heat equation with nonlinear boundary condition |
| url |
http://hdl.handle.net/20.500.12110/paper_10407294_v12_n3_p557_Acosta |
| work_keys_str_mv |
AT acostag stablemanifoldapproximationfortheheatequationwithnonlinearboundarycondition AT bonderjf stablemanifoldapproximationfortheheatequationwithnonlinearboundarycondition AT rossijd stablemanifoldapproximationfortheheatequationwithnonlinearboundarycondition |
| _version_ |
1807314670916206592 |