BV solutions and relaxation limit for a model in viscoelasticity

CSpace

	BV solutions and relaxation limit for a model in viscoelasticity
	Luo, T ; Natalini, R
	1998
发表期刊	PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN	0308-2105
卷号	128 页码:775-795
摘要	Global existence of uniformly bounded BV entropy solutions to a 2 x 2 quasilinear system with relaxation, arising in viscoelasticity, is established by using special fractional step versions of Godunov and Glimm schemes for arbitrarily large initial data. Thanks to the uniform estimates obtained, we prove the convergence of solutions to the corresponding equilibrium limit as the relaxation parameter tends to zero.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000075564100008
出版者	ROYAL SOC EDINBURGH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13584
专题	中国科学院数学与系统科学研究院
通讯作者	Luo, T
作者单位	1.Ist Applicazioni Calcolo M Picone, I-00161 Rome, Italy 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Luo, T,Natalini, R. BV solutions and relaxation limit for a model in viscoelasticity[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,1998,128:775-795.
APA	Luo, T,&Natalini, R.(1998).BV solutions and relaxation limit for a model in viscoelasticity.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,128,775-795.
MLA	Luo, T,et al."BV solutions and relaxation limit for a model in viscoelasticity".PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 128(1998):775-795.