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

Joint Authors

Olivas Martinez, Antonio
Omel'yanov, Georgy A.

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-01-26

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Olivas Martinez, Antonio& Omel'yanov, Georgy A.. 2010. Uniform in Time Description for Weak Solutions of the Hopf Equation with Nonconvex Nonlinearity. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-446388

Modern Language Association (MLA)

Olivas Martinez, Antonio& Omel'yanov, Georgy A.. Uniform in Time Description for Weak Solutions of the Hopf Equation with Nonconvex Nonlinearity. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-16.
https://search.emarefa.net/detail/BIM-446388

American Medical Association (AMA)

Olivas Martinez, Antonio& Omel'yanov, Georgy A.. Uniform in Time Description for Weak Solutions of the Hopf Equation with Nonconvex Nonlinearity. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-446388

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-446388