Global well-posedness and regularity criteria for epitaxial growth models

Jishan Fan; Ahmed Alsaedi; Tasawar Hayat; Yong Zhou

doi:10.1016/j.camwa.2017.04.029

Global well-posedness and regularity criteria for epitaxial growth models

Jishan Fan
, Ahmed Alsaedi
, Tasawar Hayat
, Yong Zhou

Nanjing Forestry University
Faculty of Sciences, King Abdulaziz University
Quaid-I-Azam University
Shanghai University of Finance and Economics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, we consider an epitaxial growth model with slope selection and a generalized model. First, we establish some regularity criteria of strong solutions for the epitaxial growth model with slope selection. Then, we prove the global-in-time existence of smooth solutions for a generalized model.

Original language	English
Pages (from-to)	459-465
Number of pages	7
Journal	Computers and Mathematics with Applications
Volume	74
Issue number	3
DOIs	https://doi.org/10.1016/j.camwa.2017.04.029
State	Published - 1 Aug 2017
Externally published	Yes

Keywords

Epitaxy
Regularity
Thin film
Well-posedness

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10.1016/j.camwa.2017.04.029

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title = "Global well-posedness and regularity criteria for epitaxial growth models",

abstract = "In this paper, we consider an epitaxial growth model with slope selection and a generalized model. First, we establish some regularity criteria of strong solutions for the epitaxial growth model with slope selection. Then, we prove the global-in-time existence of smooth solutions for a generalized model.",

keywords = "Epitaxy, Regularity, Thin film, Well-posedness",

author = "Jishan Fan and Ahmed Alsaedi and Tasawar Hayat and Yong Zhou",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

year = "2017",

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doi = "10.1016/j.camwa.2017.04.029",

language = "English",

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T1 - Global well-posedness and regularity criteria for epitaxial growth models

AU - Fan, Jishan

AU - Alsaedi, Ahmed

AU - Hayat, Tasawar

AU - Zhou, Yong

PY - 2017/8/1

Y1 - 2017/8/1

N2 - In this paper, we consider an epitaxial growth model with slope selection and a generalized model. First, we establish some regularity criteria of strong solutions for the epitaxial growth model with slope selection. Then, we prove the global-in-time existence of smooth solutions for a generalized model.

AB - In this paper, we consider an epitaxial growth model with slope selection and a generalized model. First, we establish some regularity criteria of strong solutions for the epitaxial growth model with slope selection. Then, we prove the global-in-time existence of smooth solutions for a generalized model.

KW - Epitaxy

KW - Regularity

KW - Thin film

KW - Well-posedness

UR - https://www.scopus.com/pages/publications/85019622817

U2 - 10.1016/j.camwa.2017.04.029

DO - 10.1016/j.camwa.2017.04.029

M3 - Article

AN - SCOPUS:85019622817

SN - 0898-1221

VL - 74

SP - 459

EP - 465

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 3

ER -

Global well-posedness and regularity criteria for epitaxial growth models

Abstract

Keywords

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