Homogenization of boundary optimal control of the parabolic problem with dynamic boundary condition specified on double skin boundaries (Q6656436)

scientific article; zbMATH DE number 7961411

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English	Homogenization of boundary optimal control of the parabolic problem with dynamic boundary condition specified on double skin boundaries	scientific article; zbMATH DE number 7961411

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instance of

scholarly article

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title

Homogenization of boundary optimal control of the parabolic problem with dynamic boundary condition specified on double skin boundaries (English)

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author

Alexander Vadimovich Podolskiy

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Tatiana Shaposhnikova

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published in

Journal of Mathematical Sciences (New York)

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publication date

2 January 2025

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zbMATH Keywords

emergence of a nonlocal strange term

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MaRDI profile type

Publication

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cites work

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Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem

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A nonlocal memory strange term arising in the critical scale homogenisation of a diffusion equation with a dynamic boundary condition

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Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case

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A time-dependent strange term arising in homogenization of an elliptic problem with rapidly alternating Neumann and dynamic boundary conditions specified at the domain boundary: the critical case

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Homogenization of parabolic problems with dynamical boundary conditions of reactive‐diffusive type in perforated media

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Q4669771

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On the convergence of controls and cost functionals in some optimal control heterogeneous problems when the homogenization process gives rise to some strange terms

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Boundary control and homogenization: optimal climatization through smart double skin boundaries.

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Optimal control and ``strange'' term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case

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Homogenization of the optimal control problem for the Dirichlet cost functional and the Poisson state problem with rapidly alternating boundary conditions in critical case

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Optimal control and ``strange term'' for a Stokes problem in perforated domains

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Q4936365

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Q5570406

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On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10958-024-07502-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:6656436