On the Nonlinear Instability of Traveling Waves for a Sixth-Order Parabolic Equation

Joint Authors

Li, Zhenbang
Liu, Changchun

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-09-25

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

We study the instability of the traveling waves of a sixth-order parabolic equation which arises naturally as a continuum model for the formation of quantum dots and their faceting.

We prove that some traveling wave solutions are nonlinear unstable under H4 perturbations.

These traveling wave solutions converge to a constant as x→∞.

American Psychological Association (APA)

Li, Zhenbang& Liu, Changchun. 2012. On the Nonlinear Instability of Traveling Waves for a Sixth-Order Parabolic Equation. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-494828

Modern Language Association (MLA)

Li, Zhenbang& Liu, Changchun. On the Nonlinear Instability of Traveling Waves for a Sixth-Order Parabolic Equation. Abstract and Applied Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-494828

American Medical Association (AMA)

Li, Zhenbang& Liu, Changchun. On the Nonlinear Instability of Traveling Waves for a Sixth-Order Parabolic Equation. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-494828

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-494828