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Viscosity method of a non-homogeneous Burgers equation
Ding, XQ; Yi, D
2003-10-01
Source PublicationACTA MATHEMATICA SCIENTIA
ISSN0252-9602
Volume23Issue:4Pages:567-576
AbstractIn [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.
KeywordBurgers equation hopf equation nonhomogeneous equation
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000188826900017
PublisherKLUWER ACADEMIC PUBL
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18464
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
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.
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