Existence of Global Attractor for a Hyperbolic Phase Field System of Caginalp Type with Polynomial Growth Potential

The aim of this article is to study asymptotic behavior of higher-order (in space) anisotropic perturbed Caginalp phase-field systems with relaxations hyperbolic in term of attractors. The main difficulty comes from the fact that the phase spaces for the perturbed ([Formula: see text]) and unperturbed ([Formula: see text]) equations are not the same; indeed, the limit problem is parabolic. Therefore, the previous approach employing for parabolic systems, cannot be applied and have to be adapted. In particular, this necessitates a study of the time boundary layer in order to estimate the difference of solutions between the perturbed and unperturbed equations. Finally, we obtain the existence of the global attractor, as well as the existence of exponential attractors.

show abstract

Long time behavior of higher-order anisotropic perturbed phase field system with regular potentials

Ekohela

Bissanga

Batchi

2019

Asymptotic Analysis

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Existence of Global Attractor for a Hyperbolic Phase Field System of Caginalp Type with Polynomial Growth Potential

Cited by 1 publication

References 0 publications

Long time behavior of higher-order anisotropic perturbed phase field system with regular potentials

Long time behavior of higher-order anisotropic perturbed phase field system with regular potentials

Contact Info

Product

Resources

About