Geometrically Induced Spectral Effects in Tubes with a Mixed Dirichlet - Neumann Boundary
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F18%3A00490015" target="_blank" >RIV/61389005:_____/18:00490015 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/18:00328091
Result on the web
<a href="http://dx.doi.org/10.1016/S0034-4877(18)30038-7" target="_blank" >http://dx.doi.org/10.1016/S0034-4877(18)30038-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/S0034-4877(18)30038-7" target="_blank" >10.1016/S0034-4877(18)30038-7</a>
Alternative languages
Result language
angličtina
Original language name
Geometrically Induced Spectral Effects in Tubes with a Mixed Dirichlet - Neumann Boundary
Original language description
We investigate spectral properties of the Laplacian in L-2(Q), where Q is a tubular region in R-3 of a fixed cross section, and the boundary conditions combined a Dirichlet and a Neumann part. We analyze two complementary situations, when the tube is bent but not twisted, and secondly, it is twisted but not bent. In the first case we derive sufficient conditions for the presence and absence of the discrete spectrum showing, roughly speaking, that they depend on the direction in which the tube is bent. In the second case we show that a constant twist raises the threshold of the essential spectrum and a local slowndown of it gives rise to isolated eigenvalues. Furthermore, we prove that the spectral threshold moves up also under a sufficiently gentle periodic twist.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
Project
<a href="/en/project/GA17-01706S" target="_blank" >GA17-01706S: Mathematical-Physics Models of Novel Materials</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Reports on Mathematical Physics
ISSN
0034-4877
e-ISSN
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Volume of the periodical
81
Issue of the periodical within the volume
2
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
213-231
UT code for WoS article
000431937800008
EID of the result in the Scopus database
2-s2.0-85046831182