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Article: Singularities of complex-valued solutions of the two-dimensional Burgers system
| Title | Singularities of complex-valued solutions of the two-dimensional Burgers system |
|---|---|
| Authors | |
| Issue Date | 2010 |
| Citation | Journal of Mathematical Physics, 2010, v. 51, n. 1, article no. 007091JMP How to Cite? |
| Abstract | We consider the two-dimensional viscous Burgers system without external forcing. For complex-valued solutions, due to the loss of maximum principle and energy estimates, smooth solutions can develop finite-time singularities. We construct an open set of six-parameter families of initial conditions such that the corresponding solutions exhibit blowups in finite time. © 2010 American Institute of Physics. |
| Persistent Identifier | http://hdl.handle.net/10722/326821 |
| ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.569 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, Dong | - |
| dc.contributor.author | Sinai, Yakov G. | - |
| dc.date.accessioned | 2023-03-31T05:26:46Z | - |
| dc.date.available | 2023-03-31T05:26:46Z | - |
| dc.date.issued | 2010 | - |
| dc.identifier.citation | Journal of Mathematical Physics, 2010, v. 51, n. 1, article no. 007091JMP | - |
| dc.identifier.issn | 0022-2488 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/326821 | - |
| dc.description.abstract | We consider the two-dimensional viscous Burgers system without external forcing. For complex-valued solutions, due to the loss of maximum principle and energy estimates, smooth solutions can develop finite-time singularities. We construct an open set of six-parameter families of initial conditions such that the corresponding solutions exhibit blowups in finite time. © 2010 American Institute of Physics. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Journal of Mathematical Physics | - |
| dc.title | Singularities of complex-valued solutions of the two-dimensional Burgers system | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1063/1.3276099 | - |
| dc.identifier.scopus | eid_2-s2.0-77953265487 | - |
| dc.identifier.volume | 51 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | article no. 007091JMP | - |
| dc.identifier.epage | article no. 007091JMP | - |
| dc.identifier.isi | WOS:000274180300006 | - |