Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation

Joint Authors

Mi, Yongsheng
Mu, Chunlai

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-09-11

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation.

We firstly establish the local well-posedness result.

Then we present a precise blow-up scenario.

Moreover, we obtain several blow-up results and the blow-up rate of strong solutions.

Finally, we consider the asymptotic behavior of solutions.

American Psychological Association (APA)

Mi, Yongsheng& Mu, Chunlai. 2013. Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-480442

Modern Language Association (MLA)

Mi, Yongsheng& Mu, Chunlai. Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-480442

American Medical Association (AMA)

Mi, Yongsheng& Mu, Chunlai. Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-480442

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-480442