Publicación: Curvas características en ecuaciones diferenciales parciales de primer orden
| dc.contributor.advisor | Villamizar Roa, Elder Jesus | |
| dc.contributor.author | Ballesteros Quiroga, Carmen Cecilia | |
| dc.date.accessioned | 2024-03-03T16:35:53Z | |
| dc.date.available | 2007 | |
| dc.date.available | 2024-03-03T16:35:53Z | |
| dc.date.created | 2007 | |
| dc.date.issued | 2007 | |
| dc.description.abstract | Las ecuaciones diferenciales parciales de primer orden no lineales aparecen en una granvariedad de problemas físicos, principalmente en mecánica de los medios continuos y óptica. En esta monografía se realiza una revision sobre algunos aspectos en ecuaciones diferenciales parciales de primer orden, incluyendo definición, ejemplos, curvas características,propagación de singularidades y ondas de choque. La monografía esta dividida en cuatro capítulos. El primer capítulo se presenta la terminologia usada en el desarrollo de este trabajo; en el segundo capítulo se da la definición yclasificación de una ecuación | |
| dc.description.abstractenglish | Nonlinear first-order partial differential equations arise in a variety of physical theories, primarily in dynamics, continuous mechanics and optics. In this monograph we make a review about some aspects in first-order partial differential equation, including definition, examples, characteristics curves, propagation of singularities and shock waves. The monograph is divided in four chapters. In the first chapter is given the terminology used in the development of the work. In chapter two, is showed the definition and classification of the set of Partial Differential Equations according to its order and linearity; we give some classical example and present a description of a initial boundary value problem. The third chapter is devoted to study of the characteristics curves as a alternative in order to obtain the existence and uniqueness of solutions for a first-order Partial Differential Equation. Finally, in chapter four we make a introduction to the propagation of singularities and shock waves. | |
| dc.description.degreelevel | Pregrado | |
| dc.description.degreename | Licenciado en Matemáticas | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.instname | Universidad Industrial de Santander | |
| dc.identifier.reponame | Universidad Industrial de Santander | |
| dc.identifier.repourl | https://noesis.uis.edu.co | |
| dc.identifier.uri | https://noesis.uis.edu.co/handle/20.500.14071/20079 | |
| dc.language.iso | spa | |
| dc.publisher | Universidad Industrial de Santander | |
| dc.publisher.faculty | Facultad de Ciencias | |
| dc.publisher.program | Licenciatura en Matemáticas | |
| dc.publisher.school | Escuela de Matemáticas | |
| dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | |
| dc.rights.creativecommons | Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0) | |
| dc.rights.license | Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0 | |
| dc.subject | Ecuaciones diferenciales de primer orden | |
| dc.subject | Curvas características | |
| dc.subject | Propagación y singularidades | |
| dc.subject | Ondas de Choque. | |
| dc.subject.keyword | Nonlinear first-order partial differential equation | |
| dc.subject.keyword | Characteristic curves | |
| dc.subject.keyword | Propagation of singularities | |
| dc.subject.keyword | Shock waves. | |
| dc.title | Curvas características en ecuaciones diferenciales parciales de primer orden | |
| dc.title.english | Characteristics curves in first-order partial differential equations | |
| dc.type.coar | http://purl.org/coar/version/c_b1a7d7d4d402bcce | |
| dc.type.hasversion | http://purl.org/coar/resource_type/c_7a1f | |
| dc.type.local | Tesis/Trabajo de grado - Monografía - Pregrado | |
| dspace.entity.type | Publication |