Symmetries of nonlinear PDEs on metric graphs and branched networks:
This 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 connectio...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel ; Beijing ; Wuhan ; Barcelona ; Belgrade
MDPI
[2019]
|
| Schlagworte: | |
| Online-Zugang: | kostenfrei https://mdpi.com/books/pdfview/book/1763 |
| Zusammenfassung: | This 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 |
| Beschreibung: | This is a reprint of articles from the special issue published online in the open access journal Symmetry |
| Beschreibung: | 1 electronic resource (144 pages) |
| ISBN: | 9783039217212 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV046432782 | ||
| 003 | DE-604 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 200219s2019 xx o|||| 00||| eng d | ||
| 020 | |a 9783039217212 |c PDF |9 978-3-03921-721-2 | ||
| 024 | 7 | |a 10.3390/books978-3-03921-721-2 |2 doi | |
| 035 | |a (ZDB-94-OAB)DOAB42712 | ||
| 035 | |a (OCoLC)1142738937 | ||
| 035 | |a (DE-599)HBZHT020324161 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-210 |a DE-521 |a DE-1102 |a DE-1046 |a DE-1028 |a DE-1050 |a DE-573 |a DE-M347 |a DE-92 |a DE-1051 |a DE-898 |a DE-859 |a DE-860 |a DE-1049 |a DE-861 |a DE-863 |a DE-862 |a DE-Re13 |a DE-Y3 |a DE-255 |a DE-Y7 |a DE-Y2 |a DE-70 |a DE-2174 |a DE-127 |a DE-22 |a DE-155 |a DE-91 |a DE-384 |a DE-473 |a DE-19 |a DE-355 |a DE-703 |a DE-20 |a DE-706 |a DE-824 |a DE-29 |a DE-739 | ||
| 245 | 1 | 0 | |a Symmetries of nonlinear PDEs on metric graphs and branched networks |c special issue editors Diego Noja, Dmitry E. Pelinovsky |
| 264 | 1 | |a Basel ; Beijing ; Wuhan ; Barcelona ; Belgrade |b MDPI |c [2019] | |
| 300 | |a 1 electronic resource (144 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a This is a reprint of articles from the special issue published online in the open access journal Symmetry | ||
| 520 | 3 | |a This 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 | |
| 653 | 0 | |a Science (General) | |
| 653 | 0 | |a Mathematics | |
| 700 | 1 | |a Noja, Diego |4 edt | |
| 700 | 1 | |a Pelinovskij, Dmitrij E. |d 1969- |0 (DE-588)1018475672 |4 edt | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Paperback |z 978-3-03921-720-5 |
| 856 | 4 | 0 | |u https://www.doabooks.org/doab?func=fulltext&uiLanguage=en&rid=42712 |x Verlag |z kostenfrei |3 Volltext |
| 856 | 4 | |u https://mdpi.com/books/pdfview/book/1763 | |
| 912 | |a ZDB-94-OAB | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-031844992 | |
Datensatz im Suchindex
| _version_ | 1824556299444027392 |
|---|---|
| adam_text | |
| any_adam_object | |
| author2 | Noja, Diego Pelinovskij, Dmitrij E. 1969- |
| author2_role | edt edt |
| author2_variant | d n dn d e p de dep |
| author_GND | (DE-588)1018475672 |
| author_facet | Noja, Diego Pelinovskij, Dmitrij E. 1969- |
| building | Verbundindex |
| bvnumber | BV046432782 |
| collection | ZDB-94-OAB |
| ctrlnum | (ZDB-94-OAB)DOAB42712 (OCoLC)1142738937 (DE-599)HBZHT020324161 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV046432782</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">200219s2019 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783039217212</subfield><subfield code="c">PDF</subfield><subfield code="9">978-3-03921-721-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.3390/books978-3-03921-721-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-94-OAB)DOAB42712</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1142738937</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)HBZHT020324161</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-210</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-1102</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-1028</subfield><subfield code="a">DE-1050</subfield><subfield code="a">DE-573</subfield><subfield code="a">DE-M347</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-1051</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-1049</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-863</subfield><subfield code="a">DE-862</subfield><subfield code="a">DE-Re13</subfield><subfield code="a">DE-Y3</subfield><subfield code="a">DE-255</subfield><subfield code="a">DE-Y7</subfield><subfield code="a">DE-Y2</subfield><subfield code="a">DE-70</subfield><subfield code="a">DE-2174</subfield><subfield code="a">DE-127</subfield><subfield code="a">DE-22</subfield><subfield code="a">DE-155</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-739</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Symmetries of nonlinear PDEs on metric graphs and branched networks</subfield><subfield code="c">special issue editors Diego Noja, Dmitry E. Pelinovsky</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel ; Beijing ; Wuhan ; Barcelona ; Belgrade</subfield><subfield code="b">MDPI</subfield><subfield code="c">[2019]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 electronic resource (144 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This is a reprint of articles from the special issue published online in the open access journal Symmetry</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">This 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</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Science (General)</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Noja, Diego</subfield><subfield code="4">edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pelinovskij, Dmitrij E.</subfield><subfield code="d">1969-</subfield><subfield code="0">(DE-588)1018475672</subfield><subfield code="4">edt</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, Paperback</subfield><subfield code="z">978-3-03921-720-5</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.doabooks.org/doab?func=fulltext&uiLanguage=en&rid=42712</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">https://mdpi.com/books/pdfview/book/1763</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-94-OAB</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-031844992</subfield></datafield></record></collection> |
| id | DE-604.BV046432782 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-20T07:21:21Z |
| institution | BVB |
| isbn | 9783039217212 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031844992 |
| oclc_num | 1142738937 |
| open_access_boolean | 1 |
| owner | DE-12 DE-210 DE-521 DE-1102 DE-1046 DE-1028 DE-1050 DE-573 DE-M347 DE-92 DE-1051 DE-898 DE-BY-UBR DE-859 DE-860 DE-1049 DE-861 DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-Re13 DE-BY-UBR DE-Y3 DE-255 DE-Y7 DE-Y2 DE-70 DE-2174 DE-127 DE-22 DE-BY-UBG DE-155 DE-BY-UBR DE-91 DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-703 DE-20 DE-706 DE-824 DE-29 DE-739 |
| owner_facet | DE-12 DE-210 DE-521 DE-1102 DE-1046 DE-1028 DE-1050 DE-573 DE-M347 DE-92 DE-1051 DE-898 DE-BY-UBR DE-859 DE-860 DE-1049 DE-861 DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-Re13 DE-BY-UBR DE-Y3 DE-255 DE-Y7 DE-Y2 DE-70 DE-2174 DE-127 DE-22 DE-BY-UBG DE-155 DE-BY-UBR DE-91 DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-703 DE-20 DE-706 DE-824 DE-29 DE-739 |
| physical | 1 electronic resource (144 pages) |
| psigel | ZDB-94-OAB |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | MDPI |
| record_format | marc |
| spellingShingle | Symmetries of nonlinear PDEs on metric graphs and branched networks |
| title | Symmetries of nonlinear PDEs on metric graphs and branched networks |
| title_auth | Symmetries of nonlinear PDEs on metric graphs and branched networks |
| title_exact_search | Symmetries of nonlinear PDEs on metric graphs and branched networks |
| title_full | Symmetries of nonlinear PDEs on metric graphs and branched networks special issue editors Diego Noja, Dmitry E. Pelinovsky |
| title_fullStr | Symmetries of nonlinear PDEs on metric graphs and branched networks special issue editors Diego Noja, Dmitry E. Pelinovsky |
| title_full_unstemmed | Symmetries of nonlinear PDEs on metric graphs and branched networks special issue editors Diego Noja, Dmitry E. Pelinovsky |
| title_short | Symmetries of nonlinear PDEs on metric graphs and branched networks |
| title_sort | symmetries of nonlinear pdes on metric graphs and branched networks |
| url | https://www.doabooks.org/doab?func=fulltext&uiLanguage=en&rid=42712 https://mdpi.com/books/pdfview/book/1763 |
| work_keys_str_mv | AT nojadiego symmetriesofnonlinearpdesonmetricgraphsandbranchednetworks AT pelinovskijdmitrije symmetriesofnonlinearpdesonmetricgraphsandbranchednetworks |