Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advection

Detalhes bibliográficos
Autor(a) principal: Diehl, Nicolau Matiel Lunardi
Data de Publicação: 2018
Outros Autores: Fabris, Lucinéia
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Remat (Bento Gonçalves)
Texto Completo: https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/2959
Resumo: In this paper, we show that the $L^1$ norm of the bounded weak solutions of the Cauchy problem for general degenerate parabolic equations of the formu_t + div f(x,t,u) = div(|u|^{\alpha}\nabla u),   x \in R^n , t > 0,where \alpha > 0 is constant, decrease, under fairly broad conditions in advection flow f. In addition, we derive the mass conservation property for positive (or negative) solutions.
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spelling Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advectionMass ConservationDecreasing of the $L^1$ NormPorous Medium EquationsIn this paper, we show that the $L^1$ norm of the bounded weak solutions of the Cauchy problem for general degenerate parabolic equations of the formu_t + div f(x,t,u) = div(|u|^{\alpha}\nabla u),   x \in R^n , t > 0,where \alpha > 0 is constant, decrease, under fairly broad conditions in advection flow f. In addition, we derive the mass conservation property for positive (or negative) solutions.Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul2018-12-31info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtigos; Avaliado pelos paresapplication/pdfhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/295910.35819/remat2018v4i2id2959REMAT: Revista Eletrônica da Matemática; Vol. 4 No. 2 (2018); 67-77REMAT: Revista Eletrônica da Matemática; Vol. 4 Núm. 2 (2018); 67-77REMAT: Revista Eletrônica da Matemática; v. 4 n. 2 (2018); 67-772447-2689reponame:Remat (Bento Gonçalves)instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)instacron:IFRSenghttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/2959/2232Copyright (c) 2018 REMAT: Revista Eletrônica da Matemáticainfo:eu-repo/semantics/openAccessDiehl, Nicolau Matiel LunardiFabris, Lucinéia2022-12-28T15:58:20Zoai:ojs2.periodicos.ifrs.edu.br:article/2959Revistahttp://periodicos.ifrs.edu.br/index.php/REMATPUBhttps://periodicos.ifrs.edu.br/index.php/REMAT/oai||greice.andreis@caxias.ifrs.edu.br2447-26892447-2689opendoar:2022-12-28T15:58:20Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)false
dc.title.none.fl_str_mv Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advection
title Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advection
spellingShingle Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advection
Diehl, Nicolau Matiel Lunardi
Mass Conservation
Decreasing of the $L^1$ Norm
Porous Medium Equations
title_short Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advection
title_full Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advection
title_fullStr Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advection
title_full_unstemmed Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advection
title_sort Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advection
author Diehl, Nicolau Matiel Lunardi
author_facet Diehl, Nicolau Matiel Lunardi
Fabris, Lucinéia
author_role author
author2 Fabris, Lucinéia
author2_role author
dc.contributor.author.fl_str_mv Diehl, Nicolau Matiel Lunardi
Fabris, Lucinéia
dc.subject.por.fl_str_mv Mass Conservation
Decreasing of the $L^1$ Norm
Porous Medium Equations
topic Mass Conservation
Decreasing of the $L^1$ Norm
Porous Medium Equations
description In this paper, we show that the $L^1$ norm of the bounded weak solutions of the Cauchy problem for general degenerate parabolic equations of the formu_t + div f(x,t,u) = div(|u|^{\alpha}\nabla u),   x \in R^n , t > 0,where \alpha > 0 is constant, decrease, under fairly broad conditions in advection flow f. In addition, we derive the mass conservation property for positive (or negative) solutions.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-31
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Artigos; Avaliado pelos pares
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/2959
10.35819/remat2018v4i2id2959
url https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/2959
identifier_str_mv 10.35819/remat2018v4i2id2959
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/2959/2232
dc.rights.driver.fl_str_mv Copyright (c) 2018 REMAT: Revista Eletrônica da Matemática
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2018 REMAT: Revista Eletrônica da Matemática
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul
publisher.none.fl_str_mv Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul
dc.source.none.fl_str_mv REMAT: Revista Eletrônica da Matemática; Vol. 4 No. 2 (2018); 67-77
REMAT: Revista Eletrônica da Matemática; Vol. 4 Núm. 2 (2018); 67-77
REMAT: Revista Eletrônica da Matemática; v. 4 n. 2 (2018); 67-77
2447-2689
reponame:Remat (Bento Gonçalves)
instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
instacron:IFRS
instname_str Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
instacron_str IFRS
institution IFRS
reponame_str Remat (Bento Gonçalves)
collection Remat (Bento Gonçalves)
repository.name.fl_str_mv Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
repository.mail.fl_str_mv ||greice.andreis@caxias.ifrs.edu.br
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