Investigation of the stability for the melting liquid phase nanoparticles model

Author

Salih, Hero W.

Source

ZANCO Journal of Pure and Applied Sciences

Publisher

Salahaddin University-Erbil Department of Scientific Publications

Publication Date

2019-04-30

Country of Publication

Iraq

No. of Pages

5

Main Subjects

Physics

Topics

• Nanoparticles

English Abstract

This work we prfesent the investigate stability of both liquid single phase limit for melting nanoparticle, heating liquid models.

For the study we transform both modeles to Lienard equations.

The associated Lyapunov function of both models are computed by using the Lyapunov direct method, the stability for both system are established, and these imply that the models are stable under the given initial and boundary conditions.

Physically this means that the liquid and heating liquid nanoparticales system are stable in the plane.

Finally we investigate the existence of limit cycles for both systems are found to be non-existent..

Data Type

Conference Papers

Record ID

BIM-894462

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