Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Dmitry V. Valovik"'
Autor:
Dmitry V. Valovik
Publikováno v:
SIAM Journal on Applied Mathematics. 83:553-575
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ab01d6c94ee53b9b0d6ff4e9497a18f
https://doi.org/10.1137/22m1489587
https://doi.org/10.1137/22m1489587
Autor:
Dmitry V. Valovik
Publikováno v:
Computational Mathematics and Mathematical Physics. 61:103-117
The article deals with the problem of propagation of a two-frequency electromagnetic wave in a waveguide filled with a nonlinear medium. A two-frequency wave is the sum of two monochromatic TE waves with different frequencies. The permittivity of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::830d73296c4884d20841867746f73a8b
https://doi.org/10.1134/s0965542521010097
https://doi.org/10.1134/s0965542521010097
Autor:
Dmitry V. Valovik
Publikováno v:
Математический сборник. 211:41-53
Введена функция, нули которой и только они являются собственными значениями отвечающей ей задачи Штурма-Лиувилля. Краевые условия зада
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ecb88601959dbb8cc87e088c5541991
https://doi.org/10.4213/sm9235
https://doi.org/10.4213/sm9235
Publikováno v:
Asymptotic Analysis. 119:39-59
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4d887cb0f9b4a19be7de7c8736bad77
https://doi.org/10.3233/asy-191565
https://doi.org/10.3233/asy-191565
Publikováno v:
Lobachevskii Journal of Mathematics. 41:1363-1370
The paper focuses on the problem of electromagnetic wave propagation in plane shielded dielectric waveguide. The waveguide is characterized by an isotropic inhomogeneous permittivity and constant permeability. We study symmetric guided waves that cha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::992c06b0eee844a0a4ee38079925f562
https://doi.org/10.1134/s1995080220070276
https://doi.org/10.1134/s1995080220070276
Autor:
Dmitry V. Valovik, S. V. Tikhov
Publikováno v:
Итоги науки и техники. Серия «Современная математика и ее приложения. Тематические обзоры». 176:34-49
Рассмотрена нелинейная задача на собственные значения на отрезке, описывающая распространение монохроматических (поляризованных) эле
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e3980c327dee7376ac097e3b18bed8f
https://doi.org/10.36535/0233-6723-2020-176-34-49
https://doi.org/10.36535/0233-6723-2020-176-34-49
Autor:
Dmitry V. Valovik
Publikováno v:
Differential Equations. 56:171-184
We consider an eigenvalue problem for a quasilinear nonautonomous second-order differential equation with a cubic nonlinearity. The problem is posed on an interval with boundary conditions of the first kind and with an auxiliary (local) condition at
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2925d3267a461fd7ac65ac49230c6d17
https://doi.org/10.1134/s0012266120020032
https://doi.org/10.1134/s0012266120020032
Autor:
Dmitry V. Valovik, S. V. Tikhov
Publikováno v:
Differential Equations. 55:1554-1569
We consider a nonlinear eigenvalue problem for a system of ordinary differential equations arising in the waveguide theory. The nonlinearity is characterized by two nonnegative parameters α and β. For α = β = 0, we arrive at a linear problem that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d2298b600189d556dcb551c8e1cc6c5
https://doi.org/10.1134/s0012266119120036
https://doi.org/10.1134/s0012266119120036
Publikováno v:
Lobachevskii Journal of Mathematics. 40:1640-1652
Paper introduces a concept of fully symmetric guided electromagnetic waves. The waves are considered in a plane dielectric slab shielded with infinitely conducting walls. The permittivity of the slab is given by a real diagonal tensor; the permeabili
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cfa1858b491abd5fc3e96e7588d7cbfd
https://doi.org/10.1134/s199508021910007x
https://doi.org/10.1134/s199508021910007x
Autor:
S. V. Tikhov, Dmitry V. Valovik
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 75:76-93
The paper develops an original approach to study nonlinear multiparameter eigenvalue problems arising in the theory of nonlinear multifrequency electromagnetic wave propagation. The problem under consideration is a multiparameter eigenvalue problem t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e30c1d4e04d3c37228a872d95cb6b053
https://doi.org/10.1016/j.cnsns.2019.03.020
https://doi.org/10.1016/j.cnsns.2019.03.020