Show simple item record

dc.contributor.authorPelinovsky, Dmitry*
dc.contributor.authorNoja, Diego*
dc.date.accessioned2021-02-12T05:04:05Z
dc.date.available2021-02-12T05:04:05Z
dc.date.issued2019*
dc.date.submitted2019-12-09 16:10:12*
dc.identifier42712*
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/60378
dc.description.abstractThis 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.*
dc.languageEnglish*
dc.subjectQA1-939*
dc.subjectQ1-390*
dc.subject.otherquantum graphs*
dc.subject.otherground states*
dc.subject.otheropen sets converging to metric graphs*
dc.subject.othernorm convergence of operators*
dc.subject.otherNLD*
dc.subject.otherscaling limit*
dc.subject.otherstanding waves*
dc.subject.otherbound states*
dc.subject.othernetworks*
dc.subject.otherlocalized nonlinearity*
dc.subject.othernonlinear Schrödinger equation*
dc.subject.othermetric graphs*
dc.subject.otherconvergence of spectra*
dc.subject.othersine-Gordon equation*
dc.subject.otherNLS*
dc.subject.otherstar graph*
dc.subject.otherpoint interactions*
dc.subject.otherLaplacians*
dc.subject.othernonrelativistic limit*
dc.subject.othernonlinear wave equations*
dc.subject.otherquantum graph*
dc.subject.othersoliton*
dc.subject.othernonlinear shallow water equations*
dc.subject.otherKre?n formula*
dc.subject.otherbreather*
dc.subject.othernon-linear Schrödinger equation*
dc.subject.otherSchrödinger equation*
dc.subject.othernodal structure*
dc.titleSymmetries of Nonlinear PDEs on Metric Graphs and Branched Networks*
dc.typebook
oapen.identifier.doi10.3390/books978-3-03921-721-2*
oapen.relation.isPublishedBy46cabcaa-dd94-4bfe-87b4-55023c1b36d0*
oapen.relation.isbn9783039217212*
oapen.relation.isbn9783039217205*
oapen.pages144*
oapen.edition1st*


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

https://creativecommons.org/licenses/by-nc-nd/4.0/
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by-nc-nd/4.0/