Uniform in Time Description for Weak Solutions of the Hopf Equation with Nonconvex Nonlinearity

Antonio Olivas Martinez and Georgy A. Omel'yanov

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-16

Abstract:

We consider the Riemann problem for the Hopf equation with concave-convex flux functions. Applying the weak asymptotics method we construct a uniform in time description for the Cauchy data evolution and show that the use of this method implies automatically the appearance of the Oleinik E-condition.

Date: 2009
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2009/101647.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2009/101647.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:101647

DOI: 10.1155/2009/101647

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().