南方科技大学知识苑(SUSTech KC): On a parabolic sine-gordon model

题名	On a parabolic sine-gordon model
作者	Cheng，Xinyu 1; Li，Dong3 ; Quan，Chaoyu2,3 ; Yang，Wen 4,5
通讯作者	Yang，Wen
发表日期	2021-11-01
DOI	10.4208/NMTMA.OA-2021-0040
发表期刊	Numerical Mathematics-Theory Methods and Applications 影响因子和分区
ISSN	1004-8979
EISSN	2079-7338
卷号	14 期号:4页码:1068-1084
摘要	We consider a parabolic sine-Gordon model with periodic boundary conditions. We prove a fundamental maximum principle which gives a priori uniform control of the solution. In the one-dimensional case we classify all bounded steady states and exhibit some explicit solutions. For the numerical discretization we employ first order IMEX, and second order BDF2 discretization without any additional stabilization term. We rigorously prove the energy stability of the numerical schemes under nearly sharp and quite mild time step constraints. We demonstrate the striking similarity of the parabolic sine-Gordon model with the standard Allen-Cahn equations with double well potentials.
关键词	Backward differentiation formula Implicit-explicit scheme Sine-Gordon equation
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	其他
资助项目	Basic and Applied Basic Research Foundation of Guangdong Province[2020A1515010336];
WOS记录号	WOS:000695218700010
Scopus记录号	2-s2.0-85115777547
来源库	Scopus
引用统计	被引频次[WOS]：6
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/402791
专题	深圳国际数学中心（杰曼诺夫数学中心）（筹）理学院_数学系
作者单位	1.Department of Mathematics,University of British Columbia,Vancouver,V6T 1Z2,Canada 2.SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,China 3.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China 4.Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan,P.O. Box 71010,430071,China 5.Innovation Academy for Precision Measurement Science and Technology,Chinese Academy of Sciences,Wuhan,430071,China
推荐引用方式 GB/T 7714	Cheng，Xinyu,Li，Dong,Quan，Chaoyu,et al. On a parabolic sine-gordon model[J]. Numerical Mathematics-Theory Methods and Applications,2021,14(4):1068-1084.
APA	Cheng，Xinyu,Li，Dong,Quan，Chaoyu,&Yang，Wen.(2021).On a parabolic sine-gordon model.Numerical Mathematics-Theory Methods and Applications,14(4),1068-1084.
MLA	Cheng，Xinyu,et al."On a parabolic sine-gordon model".Numerical Mathematics-Theory Methods and Applications 14.4(2021):1068-1084.