On full Zakharov equation and its approximations
| dc.contributor.author | Bobkov, Vladimír | |
| dc.contributor.author | Drábek, Pavel | |
| dc.contributor.author | Ilyasov, Yavdat | |
| dc.date.accessioned | 2020-01-13T11:00:18Z | |
| dc.date.available | 2020-01-13T11:00:18Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract-translated | We study the solvability of the Zakharov equation in a bounded domain under homogeneous Dirichlet or Navier boundary conditions. This problem is a consequence of the system of equations derived by Zakharov to model the Langmuir collapse in plasma physics. Assumptions for the existence and nonexistence of a ground state solution as well as the multiplicity of solutions are discussed. Moreover, we consider formal approximations of the Zakharov equation obtained by the Taylor expansion of the exponential term. We illustrate that the existence and nonexistence results are substantially different from the corresponding results for the original problem. | en |
| dc.format | 8 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | BOBKOV, V., DRÁBEK, P., ILYASOV, Y. On full Zakharov equation and its approximations. Physica d-nonlinear phenomena, 2020, roč. 401, č. January 2020, article 132168, s. 1-8. ISSN 0167-2789. | en |
| dc.identifier.document-number | 501613000014 | |
| dc.identifier.doi | 10.1016/j.physd.2019.132168 | |
| dc.identifier.issn | 0167-2789 | |
| dc.identifier.obd | 43926659 | |
| dc.identifier.uri | 2-s2.0-85071476615 | |
| dc.identifier.uri | http://hdl.handle.net/11025/36193 | |
| dc.language.iso | en | en |
| dc.project.ID | GA18-03253S/Diferenciální rovnice se speciálními typy nelinearit | cs |
| dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
| dc.publisher | Elsevier | en |
| dc.relation.ispartofseries | Physica D-nonlinear Phenomena | en |
| dc.rights | Plný text není přístupný. | cs |
| dc.rights | © Elsevier | en |
| dc.rights.access | closedAccess | en |
| dc.subject.translated | Zakharov equations | en |
| dc.subject.translated | Langmuir collapse | en |
| dc.subject.translated | Ground state | en |
| dc.subject.translated | Variational methods. | en |
| dc.title | On full Zakharov equation and its approximations | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |