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Article: On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics
| Title | On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics |
|---|---|
| Authors | |
| Keywords | dissipation dynamics of dislocation densities maximum principle Nonlinear transport equations nonlocal modulus of continuity nonlocal transport equations |
| Issue Date | 2014 |
| Citation | Communications in Contemporary Mathematics, 2014, v. 16, n. 2, article no. 1350021 How to Cite? |
| Abstract | In this paper we consider a 2D nonlinear and nonlocal model describing the dynamics of the dislocation densities. We prove the local well-posedness of strong solution in the suitable functional framework, and we show the global well-posedness for some dissipative cases by the method of nonlocal maximum principle. © 2014 World Scientific Publishing Company. |
| Persistent Identifier | http://hdl.handle.net/10722/326993 |
| ISSN | 2021 Impact Factor: 1.708 2020 SCImago Journal Rankings: 1.397 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, Dong | - |
| dc.contributor.author | Miao, Changxing | - |
| dc.contributor.author | Xue, Liutang | - |
| dc.date.accessioned | 2023-03-31T05:28:01Z | - |
| dc.date.available | 2023-03-31T05:28:01Z | - |
| dc.date.issued | 2014 | - |
| dc.identifier.citation | Communications in Contemporary Mathematics, 2014, v. 16, n. 2, article no. 1350021 | - |
| dc.identifier.issn | 0219-1997 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/326993 | - |
| dc.description.abstract | In this paper we consider a 2D nonlinear and nonlocal model describing the dynamics of the dislocation densities. We prove the local well-posedness of strong solution in the suitable functional framework, and we show the global well-posedness for some dissipative cases by the method of nonlocal maximum principle. © 2014 World Scientific Publishing Company. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Communications in Contemporary Mathematics | - |
| dc.subject | dissipation | - |
| dc.subject | dynamics of dislocation densities | - |
| dc.subject | maximum principle | - |
| dc.subject | Nonlinear transport equations | - |
| dc.subject | nonlocal modulus of continuity | - |
| dc.subject | nonlocal transport equations | - |
| dc.title | On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1142/S0219199713500211 | - |
| dc.identifier.scopus | eid_2-s2.0-84899479059 | - |
| dc.identifier.volume | 16 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | article no. 1350021 | - |
| dc.identifier.epage | article no. 1350021 | - |
| dc.identifier.isi | WOS:000334854600004 | - |