KMS Of Academy of mathematics and systems sciences, CAS
Viscosity method of a non-homogeneous Burgers equation | |
Ding, XQ; Yi, D | |
2003-10-01 | |
Source Publication | ACTA MATHEMATICA SCIENTIA
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ISSN | 0252-9602 |
Volume | 23Issue:4Pages:567-576 |
Abstract | 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. |
Keyword | Burgers equation hopf equation nonhomogeneous equation |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000188826900017 |
Publisher | KLUWER ACADEMIC PUBL |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/18464 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | Chinese 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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