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1.	Moiseenko, V. E., et al. (author) Stellator research at IPP KIPT : Status and prospects 2019 In: PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY. - : KHARKOV INST PHYSICS & TECHNOLOGY. - 1562-6016. ; :1, s. 3-8 Journal article (peer-reviewed)abstract Features of the recent Uragan-2M campaign are reviewed together with some theoretical advances. They include experiments with B4C limiter, studies of various 1. . . 20 kHz oscillations, development of a new in-situ diagnostics for wall conditions, i.e. the thermal desorption probe, the improved numerical model of RF plasma production in stellarators in the ion cyclotron and electron-cyclotron frequency ranges, a new positive-definite form of time-harmonic Maxwell's equations and plasma start-up studies.
2.	Chechkin, G.A., et al. (author) On spectrum of the Laplacian in a circle perforated along the boundary : application to a Friedrichs-type inequality 2011 Reports (other academic/artistic)
3.	Chechkin, G.A., et al. (author) On the Friedrichs inequality in a domain perforated aperiodically along the boundary : Homogenization procedure. Asymptotics for parabolic problems 2009 In: Russian journal of mathematical physics. - 1061-9208 .- 1555-6638. ; 16:1, s. 1-16 Journal article (peer-reviewed)abstract This paper is devoted to the asymptotic analysis of functions depending on a small parameter characterizing the microinhomogeneous structure of the domain on which the functions are defined. We derive the Friedrichs inequality for these functions and prove the convergence of solutions to corresponding problems posed in a domain perforated aperiodically along the boundary. Moreover, we use numerical simulation to illustrate the results.
4.	Chechkin, G. A., et al. (author) On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure 2007 In: Journal of inequalities and applications. - : Springer Science and Business Media LLC. - 1025-5834 .- 1029-242X. Journal article (peer-reviewed)abstract We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary Γ1ɛ. It is assumed that Γ1ɛ consists of (1/δ)n-1 pieces with diameter of order O(ɛδ). In addition, δ=δ(ɛ) and δ→0 as ɛ→0.

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Result 1-4 of 4

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Type of publication: journal article (3); reports (1)

Type of content: peer-reviewed (3); other academic/artistic (1)

Author/Editor: Persson, Lars-Erik (3); Chechkin, G.A. (3); Koroleva, Yulia O. (2); Wauters, T (1); Wall, Peter (1); Meidell, Annette (1); show more...; Ågren, Olov (1); Koroleva, Yulia (1); Beletskii, A.A. (1); Dreval, M. B. (1); Moiseenko, V. E. (1); Glazunov, G.P. (1); Baron, D.I. (1); Bondarenko, M.N. (1); Konotopskiy, A.L. (1); Lozin, A.V. (1); Lyssoivan, A.I. (1); Garkusha, I.E. (1); Maznichenko, S.M. (1); Kozulya, M.M. (1); Pavlichenko, R.O. (1); Shapoval, A.N. (1); Grigor'eva, L.I. (1); Korovin, V.B. (1); Zamanov, N.V. (1); Romanov, V.S. (1); Kulyk, Yu.S. (1); Chechkin, V. V. (1); Mironov, Yu K. (1); Konovalov, V. G. (1); Turianska, E. , V (1); show less...

University: Luleå University of Technology (3); Uppsala University (2)

Language: English (4)

Research subject (UKÄ/SCB): Natural sciences (4)

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