Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
The work continues the studies of dynamic problems in singularly perturbed domains, that were initiated in [1]. The non-stationary Maxwell system is considered, for all times t ϵ R, in a bounded domain with a small cavity. The impedance conditions are given on the boundary. The asymptotics of solutions are derived as the cavity diameter tends to zero. The presented mathematical model can be of use for the diagnostics of plasma filling a cavity resonator and contaminated with metal particles of small size.
Original language | English |
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Title of host publication | Proceedings of the International Conference Days on Diffraction, DD 2018 |
Editors | A.Ya. Kazakov, A.P. Kiselev, L.I. Goray, O.V. Motygin |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 176-181 |
Number of pages | 6 |
ISBN (Electronic) | 9781728103136 |
DOIs | |
State | Published - 29 Nov 2018 |
Event | 2018 International Conference Days on Diffraction, DD 2018 - St. Petersburg, Russian Federation Duration: 4 Jun 2018 → 8 Jun 2018 |
Name | Proceedings of the International Conference Days on Diffraction, DD 2018 |
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Conference | 2018 International Conference Days on Diffraction, DD 2018 |
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Country/Territory | Russian Federation |
City | St. Petersburg |
Period | 4/06/18 → 8/06/18 |
ID: 75079198