Colombeau's theory and shock wave solutions fo systems of PDEs
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/225294 |
Resumo: | F. Villarrea In this article we study the existence of shock wave solutions for systems of partial differential equations of hydrodynamics with viscosity in one space dimension in the context of Colombeau's theory of generalized functions. This study uses the equality in the strict sense and the association of generalized functions (that is the weak equality). The shock wave solutions are given in terms of generalized functions that have the classical Heaviside step function as macroscopic aspect. This means that solutions are sought in the form of sequences of regularizations to the Heaviside function that have to satisfy part of the equations in the strict sense and part of the equations in the sense of association. ©2000 Southwest Texas State University and University of North Texas. |
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Repositório Institucional da UNESP |
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Colombeau's theory and shock wave solutions fo systems of PDEsDistributionGeneralized functionShock wave solutionF. Villarrea In this article we study the existence of shock wave solutions for systems of partial differential equations of hydrodynamics with viscosity in one space dimension in the context of Colombeau's theory of generalized functions. This study uses the equality in the strict sense and the association of generalized functions (that is the weak equality). The shock wave solutions are given in terms of generalized functions that have the classical Heaviside step function as macroscopic aspect. This means that solutions are sought in the form of sequences of regularizations to the Heaviside function that have to satisfy part of the equations in the strict sense and part of the equations in the sense of association. ©2000 Southwest Texas State University and University of North Texas.Departamento de Matemâtica FEIS-UNESP, 15385-000, Ilha Solteira, Sao PauloDepartamento de Matemâtica FEIS-UNESP, 15385-000, Ilha Solteira, Sao PauloUniversidade Estadual Paulista (UNESP)Villarreal, Francisco [UNESP]2022-04-28T20:44:03Z2022-04-28T20:44:03Z2000-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleElectronic Journal of Differential Equations, v. 2000.1072-6691http://hdl.handle.net/11449/2252942-s2.0-52849124279Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengElectronic Journal of Differential Equationsinfo:eu-repo/semantics/openAccess2022-04-28T20:44:03Zoai:repositorio.unesp.br:11449/225294Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T20:44:03Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Colombeau's theory and shock wave solutions fo systems of PDEs |
title |
Colombeau's theory and shock wave solutions fo systems of PDEs |
spellingShingle |
Colombeau's theory and shock wave solutions fo systems of PDEs Villarreal, Francisco [UNESP] Distribution Generalized function Shock wave solution |
title_short |
Colombeau's theory and shock wave solutions fo systems of PDEs |
title_full |
Colombeau's theory and shock wave solutions fo systems of PDEs |
title_fullStr |
Colombeau's theory and shock wave solutions fo systems of PDEs |
title_full_unstemmed |
Colombeau's theory and shock wave solutions fo systems of PDEs |
title_sort |
Colombeau's theory and shock wave solutions fo systems of PDEs |
author |
Villarreal, Francisco [UNESP] |
author_facet |
Villarreal, Francisco [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Villarreal, Francisco [UNESP] |
dc.subject.por.fl_str_mv |
Distribution Generalized function Shock wave solution |
topic |
Distribution Generalized function Shock wave solution |
description |
F. Villarrea In this article we study the existence of shock wave solutions for systems of partial differential equations of hydrodynamics with viscosity in one space dimension in the context of Colombeau's theory of generalized functions. This study uses the equality in the strict sense and the association of generalized functions (that is the weak equality). The shock wave solutions are given in terms of generalized functions that have the classical Heaviside step function as macroscopic aspect. This means that solutions are sought in the form of sequences of regularizations to the Heaviside function that have to satisfy part of the equations in the strict sense and part of the equations in the sense of association. ©2000 Southwest Texas State University and University of North Texas. |
publishDate |
2000 |
dc.date.none.fl_str_mv |
2000-12-01 2022-04-28T20:44:03Z 2022-04-28T20:44:03Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
Electronic Journal of Differential Equations, v. 2000. 1072-6691 http://hdl.handle.net/11449/225294 2-s2.0-52849124279 |
identifier_str_mv |
Electronic Journal of Differential Equations, v. 2000. 1072-6691 2-s2.0-52849124279 |
url |
http://hdl.handle.net/11449/225294 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Electronic Journal of Differential Equations |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803649301129199616 |