Global well-posedness of weak solutions and a regularity criterion of strong solutions for an epitaxial growth model

Jishan Fan; Bessem Samet; Yong Zhou

doi:10.1016/j.aml.2017.12.023

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Global well-posedness of weak solutions and a regularity criterion of strong solutions for an epitaxial growth model

Journal article

Peer reviewed

Global well-posedness of weak solutions and a regularity criterion of strong solutions for an epitaxial growth model

Jishan Fan, Bessem Samet and Yong Zhou

Applied mathematics letters, Vol.80, pp.8-11

06/2018

DOI: https://doi.org/10.1016/j.aml.2017.12.023

Abstract

Epitaxy

Strong solution

Thin film

Weak solution

In this paper, we first prove global well-posedness of weak solutions for an epitaxial growth model with L2 initial data in any dimension d. Then, we establish a regularity criterion of strong solutions with dimension d≥3.

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Title: Global well-posedness of weak solutions and a regularity criterion of strong solutions for an epitaxial growth model
Creators - without role: Jishan Fan - Nanjing Forestry University
Bessem Samet - King Saud University
Yong Zhou - Sun Yat-sen University
Publication Details: Applied mathematics letters, Vol.80, pp.8-11
Publisher: Elsevier Ltd
Identifiers: 9946609408331
Academic Unit: King Saud University; King Abdulaziz University
Language: English
Resource Type: Journal article