| 000 | 03281naaaa2200601uu 4500 | ||
|---|---|---|---|
| 001 | https://directory.doabooks.org/handle/20.500.12854/60378 | ||
| 005 | 20220220062342.0 | ||
| 020 | _abooks978-3-03921-721-2 | ||
| 020 | _a9783039217212 | ||
| 020 | _a9783039217205 | ||
| 024 | 7 |
_a10.3390/books978-3-03921-721-2 _cdoi |
|
| 041 | 0 | _aEnglish | |
| 042 | _adc | ||
| 100 | 1 |
_aPelinovsky, Dmitry _4auth |
|
| 700 | 1 |
_aNoja, Diego _4auth |
|
| 245 | 1 | 0 | _aSymmetries of Nonlinear PDEs on Metric Graphs and Branched Networks |
| 260 |
_bMDPI - Multidisciplinary Digital Publishing Institute _c2019 |
||
| 300 | _a1 electronic resource (144 p.) | ||
| 506 | 0 |
_aOpen Access _2star _fUnrestricted online access |
|
| 520 | _aThis Special Issue focuses on recent progress in a new area of mathematical physics and applied analysis, namely, on nonlinear partial differential equations on metric graphs and branched networks. Graphs represent a system of edges connected at one or more branching points (vertices). The connection rule determines the graph topology. When the edges can be assigned a length and the wave functions on the edges are defined in metric spaces, the graph is called a metric graph. Evolution equations on metric graphs have attracted much attention as effective tools for the modeling of particle and wave dynamics in branched structures and networks. Since branched structures and networks appear in different areas of contemporary physics with many applications in electronics, biology, material science, and nanotechnology, the development of effective modeling tools is important for the many practical problems arising in these areas. The list of important problems includes searches for standing waves, exploring of their properties (e.g., stability and asymptotic behavior), and scattering dynamics. This Special Issue is a representative sample of the works devoted to the solutions of these and other problems. | ||
| 540 |
_aCreative Commons _fhttps://creativecommons.org/licenses/by-nc-nd/4.0/ _2cc _4https://creativecommons.org/licenses/by-nc-nd/4.0/ |
||
| 546 | _aEnglish | ||
| 653 | _aquantum graphs | ||
| 653 | _aground states | ||
| 653 | _aopen sets converging to metric graphs | ||
| 653 | _anorm convergence of operators | ||
| 653 | _aNLD | ||
| 653 | _ascaling limit | ||
| 653 | _astanding waves | ||
| 653 | _abound states | ||
| 653 | _anetworks | ||
| 653 | _alocalized nonlinearity | ||
| 653 | _anonlinear Schrödinger equation | ||
| 653 | _ametric graphs | ||
| 653 | _aconvergence of spectra | ||
| 653 | _asine-Gordon equation | ||
| 653 | _aNLS | ||
| 653 | _astar graph | ||
| 653 | _apoint interactions | ||
| 653 | _aLaplacians | ||
| 653 | _anonrelativistic limit | ||
| 653 | _anonlinear wave equations | ||
| 653 | _aquantum graph | ||
| 653 | _asoliton | ||
| 653 | _anonlinear shallow water equations | ||
| 653 | _aKre?n formula | ||
| 653 | _abreather | ||
| 653 | _anon-linear Schrödinger equation | ||
| 653 | _aSchrödinger equation | ||
| 653 | _anodal structure | ||
| 856 | 4 | 0 |
_awww.oapen.org _uhttps://mdpi.com/books/pdfview/book/1763 _70 _zDOAB: download the publication |
| 856 | 4 | 0 |
_awww.oapen.org _uhttps://directory.doabooks.org/handle/20.500.12854/60378 _70 _zDOAB: description of the publication |
| 999 |
_c70402 _d70402 |
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