Porous medium equation with absorption and a nonlinear boundary condition

The behavior of solutions of a parabolic problem of gas or fluid flow in porous media was studied. The existence of globally bounded weak solutions or blow-up for the problem was analyzed. Adequate supersolutions and subsolutions were constructed and the results about global existence of weak soluti...

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Autores principales: Andreu, F., Mazón, J.M., Toledo, J., Rossi, J.D.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v49_n4_p541_Andreu
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spelling todo:paper_0362546X_v49_n4_p541_Andreu2023-10-03T15:27:15Z Porous medium equation with absorption and a nonlinear boundary condition Andreu, F. Mazón, J.M. Toledo, J. Rossi, J.D. Blow up Global existence Nonlinear boundary conditions Porous medium equation Absorption Boundary conditions Mathematical models Porous materials Nonlinear boundary conditions Nonlinear equations The behavior of solutions of a parabolic problem of gas or fluid flow in porous media was studied. The existence of globally bounded weak solutions or blow-up for the problem was analyzed. Adequate supersolutions and subsolutions were constructed and the results about global existence of weak solutions were proved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0362546X_v49_n4_p541_Andreu
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Blow up
Global existence
Nonlinear boundary conditions
Porous medium equation
Absorption
Boundary conditions
Mathematical models
Porous materials
Nonlinear boundary conditions
Nonlinear equations
spellingShingle Blow up
Global existence
Nonlinear boundary conditions
Porous medium equation
Absorption
Boundary conditions
Mathematical models
Porous materials
Nonlinear boundary conditions
Nonlinear equations
Andreu, F.
Mazón, J.M.
Toledo, J.
Rossi, J.D.
Porous medium equation with absorption and a nonlinear boundary condition
topic_facet Blow up
Global existence
Nonlinear boundary conditions
Porous medium equation
Absorption
Boundary conditions
Mathematical models
Porous materials
Nonlinear boundary conditions
Nonlinear equations
description The behavior of solutions of a parabolic problem of gas or fluid flow in porous media was studied. The existence of globally bounded weak solutions or blow-up for the problem was analyzed. Adequate supersolutions and subsolutions were constructed and the results about global existence of weak solutions were proved.
format JOUR
author Andreu, F.
Mazón, J.M.
Toledo, J.
Rossi, J.D.
author_facet Andreu, F.
Mazón, J.M.
Toledo, J.
Rossi, J.D.
author_sort Andreu, F.
title Porous medium equation with absorption and a nonlinear boundary condition
title_short Porous medium equation with absorption and a nonlinear boundary condition
title_full Porous medium equation with absorption and a nonlinear boundary condition
title_fullStr Porous medium equation with absorption and a nonlinear boundary condition
title_full_unstemmed Porous medium equation with absorption and a nonlinear boundary condition
title_sort porous medium equation with absorption and a nonlinear boundary condition
url http://hdl.handle.net/20.500.12110/paper_0362546X_v49_n4_p541_Andreu
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AT toledoj porousmediumequationwithabsorptionandanonlinearboundarycondition
AT rossijd porousmediumequationwithabsorptionandanonlinearboundarycondition
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