Partially Strong Transparency Conditions and a Singular Localization Method In Geometric Optics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10334332" target="_blank" >RIV/00216208:11320/16:10334332 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00205-016-1000-4" target="_blank" >http://dx.doi.org/10.1007/s00205-016-1000-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00205-016-1000-4" target="_blank" >10.1007/s00205-016-1000-4</a>
Alternative languages
Result language
angličtina
Original language name
Partially Strong Transparency Conditions and a Singular Localization Method In Geometric Optics
Original language description
This paper focuses on the stability analysis of WKB approximate solutions in geometric optics with the absence of strong transparency conditions under the terminology of Joly, M,tivier and Rauch. We introduce a compatible condition and a singular localization method which allows us to prove the stability of WKB solutions over long time intervals. This compatible condition is weaker than the strong transparency condition. The singular localization method allows us to do delicate analysis near resonances. As an application, we show the long time approximation of Klein-Gordon equations by Schrodinger equations in the non-relativistic limit regime.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archive for Rational Mechanics and Analysis
ISSN
0003-9527
e-ISSN
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Volume of the periodical
222
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
39
Pages from-to
245-283
UT code for WoS article
000379735000007
EID of the result in the Scopus database
2-s2.0-84962250475