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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/10509
Title: 
Heaviside generalized functions and shock waves for a Burger kind equation
Author(s): 
Villarreal, F.
Institution: 
Universidade Estadual Paulista (UNESP)
ISSN: 
1065-2469
Abstract: 
The purpose of the work is to study the existence and nonexistence of shock wave solutions for the Burger equations. The study is developed in the context of Colombeau's theory of generalized functions (GFs). This study uses the equality in the strict sense and the weak equality of GFs. The shock wave solutions are given in terms of GFs that have the Heaviside function, in x and ( x, t) variables, as macroscopic aspect. This means that solutions are sought in the form of sequences of regularizations to the Heaviside function, in R-n and R-n x R, in the distributional limit sense.
Issue Date: 
1-Feb-2006
Citation: 
Integral Transforms and Special Functions. Abingdon: Taylor & Francis Ltd, v. 17, n. 2-3, p. 213-219, 2006.
Time Duration: 
213-219
Publisher: 
Taylor & Francis Ltd
Keywords: 
  • generalized functions
  • Heaviside generalized functions
  • shock wave solutions
Source: 
http://dx.doi.org/10.1080/10652460500438128
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/10509
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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