Belolipetskaya, Anna G.; Boitsev, Anton A.; Fassari, Silvestro; Popov, Igor Y. 3D Helmholtz resonator with two close point-like windows: regularisation for Dirichlet case. (English) Zbl 07834270 Int. J. Geom. Methods Mod. Phys. 18, No. 10, Article ID 2150153, 21 p. (2021). Reviewer: Miyeon Kwon (Platteville) MSC: 47A20 81U15 × Cite Format Result Cite Review PDF Full Text: DOI
Gerasimov, Dmitrii; Popov, Igor; Blinova, Irina; Popov, Anton Incompleteness of resonance states for quantum ring with two semi-infinite edges. (English) Zbl 1428.81088 Anal. Math. Phys. 9, No. 3, 1287-1302 (2019). MSC: 81Q35 81U05 46F10 42A65 × Cite Format Result Cite Review PDF Full Text: DOI
Popov, Igor Yurievich Resonance states completeness for a model of the Helmholtz resonator with line-like window. (English) Zbl 07057211 Appl. Math. E-Notes 17, 157-163 (2017). MSC: 47B38 47E05 × Cite Format Result Cite Review PDF Full Text: Link
Ammari, Habib; Zhang, Hai A mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators. (English) Zbl 1327.35080 Commun. Math. Phys. 337, No. 1, 379-428 (2015). Reviewer: Rainer Picard (Dresden) MSC: 35J08 35B40 35J05 35Q93 78A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brüning, J.; Martin, G.; Pavlov, B. Calculation of the Kirchhoff coefficients for the Helmholtz resonator. (English) Zbl 1183.35213 Russ. J. Math. Phys. 16, No. 2, 188-207 (2009). Reviewer: Lluís Miquel García Raffi (València) MSC: 35P25 35Q35 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Chechkin, Gregory A.; Gadyl’shin, Rustem R. On boundary-value problems for the Laplacian in bounded and in unbounded domains with perforated boundaries. (English) Zbl 1077.35016 J. Differ. Equations 216, No. 2, 502-522 (2005). Reviewer: Marco Biroli (Milano) MSC: 35B27 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gadyl’shin, R. R. On scattering by a cylinder with a narrow slit and walls of finite thickness. (English. Russian original) Zbl 0889.35073 Theor. Math. Phys. 106, No. 1, 19-34 (1996); translation from Teor. Mat. Fiz. 106, No. 1, 24-43 (1996). MSC: 35P25 35J05 76Q05 35C20 × Cite Format Result Cite Review PDF Full Text: DOI
Gadyl’shin, R. R. A complete electromagnetic analog of the Helmholtz resonator. (English. Russian original) Zbl 0863.35103 Funct. Anal. Appl. 29, No. 4, 225-237 (1995); translation from Funkts. Anal. Prilozh. 29, No. 4, 1-16 (1995). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 35Q60 78A45 × Cite Format Result Cite Review PDF Full Text: DOI
Gadyl’shin, Rustem R. Asymptotics of scattering frequencies with small imaginary parts for an acoustic resonator. (English) Zbl 0819.76071 RAIRO, Modélisation Math. Anal. Numér. 28, No. 6, 761-780 (1994). MSC: 76Q05 35P25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Gadyl’shin, Rustem R. On acoustic Helmholtz resonator and on its electromagnetic analog. (English) Zbl 0817.35018 J. Math. Phys. 35, No. 7, 3464-3481 (1994). MSC: 35J05 78A25 35C20 × Cite Format Result Cite Review PDF Full Text: DOI
Gadyl’shin, R. R. Systems of acoustic resonators in the quasistationary mode. (English. Russian original) Zbl 0881.76086 J. Appl. Math. Mech. 58, No. 3, 477-485 (1994); translation from Prikl. Mat. Mekh. 58, No. 3, 104-112 (1994). MSC: 76Q05 35J05 35C20 × Cite Format Result Cite Review PDF Full Text: DOI
Gadyl’shin, R. R. The quasi-stationary mode of a Helmholtz resonator. (English. Russian original) Zbl 0797.76084 J. Appl. Math. Mech. 57, No. 5, 809-815 (1993); translation from Prikl. Mat. Mekh. 57, No. 5, 52-59 (1993). MSC: 76Q05 35Q35 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Dobrokhotov, S. Yu.; Shafarevich, A. I. Asymptotic solutions of linearized Navier-Stokes equations. (English. Russian original) Zbl 0816.76025 Math. Notes 53, No. 1, 19-26 (1993); translation from Mat. Zametki 53, No. 1, 25-35 (1993). Reviewer: A.Kluwick (Wien) MSC: 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Gadyl’shin, R. R. The method of matched asymptotic expansions in the problem of the Helmholtz acoustic resonator. (English. Russian original) Zbl 0786.76075 J. Appl. Math. Mech. 56, No. 3, 340-345 (1992); translation from Prikl. Mat. Mekh. 56, No. 3, 412-418 (1992). MSC: 76Q05 35C20 × Cite Format Result Cite Review PDF Full Text: DOI
Popov, I. Yu. The resonator with narrow slit and the model based on the operator extensions theory. (English) Zbl 0762.35078 J. Math. Phys. 33, No. 11, 3794-3801 (1992). MSC: 35P25 81Q10 78A45 78A50 × Cite Format Result Cite Review PDF Full Text: DOI
Collins, W. D. On some triple series equations and their applications. (English) Zbl 0119.43006 Arch. Ration. Mech. Anal. 11, 122-137 (1962). × Cite Format Result Cite Review PDF Full Text: DOI
Collins, W. D. Some scalar diffraction problems for a spherical cap. (English) Zbl 0108.40301 Arch. Ration. Mech. Anal. 10, 249-266 (1962). × Cite Format Result Cite Review PDF Full Text: DOI