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
 |
| 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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