Viscosity method of a non-homogeneous Burgers equation

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	Viscosity method of a non-homogeneous Burgers equation
	Ding, XQ; Yi, D
	2003-10-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	23 期号:4 页码:567-576
摘要	In [1], Ding et al. studied the nonhomogeneous Burgers equation u(t) + uu(x) = muu(xx) + 4x. (1.1) This paper will prove that when mu --> 0 the solution of (1.1) will approach the generalized solution of u(t) + uu(x) = 4x. (1.2) The authors notice that the equation (1.2) is beyond the scope of investigations by Oleinik O. in [2]. The solutions here are unbounded in general. The paper also studies the delta-wave phenomenon when (1.2) is jointed with some other equation.
关键词	Burgers equation hopf equation nonhomogeneous equation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000188826900017
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18464
专题	应用数学研究所
通讯作者	Ding, XQ
作者单位	Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding, XQ,Yi, D. Viscosity method of a non-homogeneous Burgers equation[J]. ACTA MATHEMATICA SCIENTIA,2003,23(4):567-576.
APA	Ding, XQ,&Yi, D.(2003).Viscosity method of a non-homogeneous Burgers equation.ACTA MATHEMATICA SCIENTIA,23(4),567-576.
MLA	Ding, XQ,et al."Viscosity method of a non-homogeneous Burgers equation".ACTA MATHEMATICA SCIENTIA 23.4(2003):567-576.