Zobrazeno 1 - 10 of 120 pro vyhledávání: '"E Pastukhova"'
1
L2-estimates of error in homogenization of parabolic equations with correctors taken into account
Autor: S. E. Pastukhova
Publikováno v: Contemporary Mathematics. Fundamental Directions. 69:134-151
We consider second-order parabolic equations with bounded measurable \(\varepsilon\)-periodic coefficients. To solve the Cauchy problem in the layer \( R^d \times(0,T) \) with the nonhomogeneous equation, we obtain approximations in the norm \(\|\cdo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a8634c872f347533168a80d8d0eadc95
https://doi.org/10.22363/2413-3639-2023-69-1-134-151
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5
Akademický článek
LARGE-TIME ASYMPTOTIC OF THE SOLUTION TO THE DIFFUSION EQUATION AND ITS APPLICATION TO HOMOGENIZATION ESTIMATES
Autor: S. E. Pastukhova, O. A. Evseeva
Publikováno v: Российский технологический журнал, Vol 5, Iss 5, Pp 60-69 (2017)
The Cauchy problem for a linear second order parabolic equation with 1-periodic measurable coefficients is considered Rd, d ≥ 2. The problem models diffusion in a nonhomogeneous periodic medium. The appropriate diffusion operator A is self-adjoint
Externí odkaz: https://doaj.org/article/ebe0a46233c84fe297a804a01b05bb01
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6
Resolvent Approximations in L2-Norm for Elliptic Operators Acting in a Perforated Space
Autor: S. E. Pastukhova
Publikováno v: Journal of Mathematical Sciences. 265:1008-1026
We study homogenization of a second-order elliptic differential operator Aε = - div a(x/ε)∇ acting in an ε-periodically perforated space, where ε is a small parameter. Coefficients of the operator Aε are measurable ε-periodic functions. The s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cab016771752ad658ea7fbfb86dccebd
https://doi.org/10.1007/s10958-022-06097-z
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9
Improved Approximations of Resolvent in Homogenization of Higher Order Operators
Autor: S. E. Pastukhova
Publikováno v: Journal of Mathematical Sciences. 259:230-243
For elliptic operators in divergence form with e-periodic coefficients of an arbitrary even order 2m ≥ 4 we obtain e2-order approximations of resolvents in the energy operator norm as e → 0.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::76b81df3926475fdf0aca4b7384dffbd
https://doi.org/10.1007/s10958-021-05613-x
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10
Improved Approximations of Resolvents in Homogenization of Fourth Order Operators
Autor: S. E. Pastukhova
Publikováno v: Journal of Mathematical Sciences. 255:488-502
We study homogenization of fourth order elliptic operators Ae in divergence form with e-periodic coefficients in ℝd and obtain an e2-order approximation of the resolvents (Ae + 1)−1 in the energy operator (L2→H2)-norm as e → 0.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::18dcfd3063859676f09687202af6eb7a
https://doi.org/10.1007/s10958-021-05387-2
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