Tatiana A. Shaposhnikova

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Person:1357117

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zbMath Open shaposhnikova.tatiana-aMaRDI QIDQ1357117

List of research outcomes

PublicationDate of PublicationType
Homogenization of a parabolic equation for \(p\)-Laplace operator in a domain perforated along \((n-1)\)-dimensional manifold with dynamical boundary condition specified on perforations boundary: critical case2022-11-11Paper
Homogenization of the optimal control problem for the Dirichlet cost functional and the Poisson state problem with rapidly alternating boundary conditions in critical case2022-10-12Paper
https://portal.mardi4nfdi.de/entity/Q51016482022-08-30Paper
On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape2022-06-20Paper
Boundary control and homogenization: optimal climatization through smart double skin boundaries.2022-02-22Paper
Boundary control and homogenization: optimal climatization through smart double skin boundaries2021-12-23Paper
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 case2021-11-11Paper
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 case2021-11-11Paper
On the convergence of controls and cost functionals in some optimal control heterogeneous problems when the homogenization process gives rise to some strange terms2021-10-22Paper
Appearance of a nonlocal monotone operator in transmission conditions when homogenizing the Poisson equation in a domain perforated along an \((n - 1)\)-dimensional manifold by sets of arbitrary shape and critical size with nonlinear dynamic boundary conditions on the boundary of perforations2021-05-27Paper
Vasilii Vasilievich Zhikov2020-03-25Paper
Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries: the case of critical values of the parameters2020-03-25Paper
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 case2019-11-01Paper
Nonlinear Reaction-Diffusion Processes for Nanocomposites2019-10-25Paper
Homogenization of a boundary value problem for the \(n\)-Laplace operator on a \(n\)-dimensional domain with rapidly alternating boundary condition type: the critical case2019-07-19Paper
A nonlocal memory strange term arising in the critical scale homogenisation of a diffusion equation with a dynamic boundary condition2019-07-19Paper
Homogenization of the boundary value problem for the Poisson equation with rapidly oscillating nonlinear boundary conditions: Space dimension \(n \geq 3\), critical case2019-07-18Paper
Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis ``nano-composite membranes2019-07-04Paper
Homogenization of variational inequalities for the \(p\)-Laplace operator in perforated media along manifolds2019-06-19Paper
Characterizing the strange term in critical size homogenization: quasilinear equations with a general microscopic boundary condition2019-06-12Paper
Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles2019-03-25Paper
Unilateral problems for thep-Laplace operator in perforated media involving large parameters2018-12-21Paper
On Homogenization of Nonlinear Robin Type Boundary Conditions for the n-Laplacian in n-Dimensional Perforated Domains2018-12-18Paper
Homogenization of boundary value problems in plane domains with frequently alternating type of nonlinear boundary conditions: critical case2018-09-13Paper
Homogenization of variational inequality for the Laplace operator with nonlinear constraint on the flow in a domain perforated by arbitrary shaped sets. Critical case2018-08-16Paper
Non existence of critical scales in the homogenization of the problem with \(p\)-Laplace diffusion and nonlinear reaction in the boundary of periodically distributed particles in \(n\)-dimensional domains when \(p > n\)2018-04-12Paper
Homogenization of the boundary value problem for the Laplace operator in a domain perforated along (\(n\) - 1)-dimensional manifold with nonlinear Robin type boundary condition on the boundary of arbitrary shaped holes: critical case2018-03-28Paper
Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case2017-10-25Paper
https://portal.mardi4nfdi.de/entity/Q53521572017-09-08Paper
Homogenization of variational inequalities of Signorini type for the \(p\)-Laplacian in perforated domains when \(p\in(1, 2)\)2017-08-24Paper
On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media2017-08-10Paper
Homogenization of the \(p\)-Laplacian with nonlinear boundary condition on critical size particles: identifying the strange term for the some non smooth and multivalued operators2016-11-11Paper
Homogenization of a variational inequality for the \(p\)-Laplacian in perforated media with nonlinear restrictions for the flux on the boundary of isoperimetric perforations: \(p\) equal to the dimension of the space2016-07-29Paper
Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\)2015-11-12Paper
https://portal.mardi4nfdi.de/entity/Q52583682015-06-25Paper
Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain2014-07-25Paper
Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain -- the influence of the scaling on the nonlinearity in the effective sink-source term2014-06-27Paper
Code of practice2014-01-21Paper
Vladimir Alexandrovich Kondratiev. July 2, 1935--March 11, 20102013-11-27Paper
Averaging of boundary-value problems for the Laplace operator in perforated domains with a nonlinear boundary condition of the third type on the boundary of cavities2013-11-27Paper
On homogenization of nonlinear Robin type boundary conditions for cavities along manifolds and associated spectral problems2013-01-21Paper
Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling2012-01-17Paper
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 problem2011-06-08Paper
Homogenization limit for the diffusion equation with nonlinear flux condition on the boundary of very thin holes periodically distributed in a domain, in case of a critical size2011-03-17Paper
https://portal.mardi4nfdi.de/entity/Q35758982010-07-28Paper
Homogenization problem for a parabolic variational inequality with constraints on subsets situated on the boundary of the domain2009-03-20Paper
https://portal.mardi4nfdi.de/entity/Q35414962008-11-25Paper
Homogenization of the variational inequality corresponding to a problem with rapidly varying boundary conditions2008-09-03Paper
https://portal.mardi4nfdi.de/entity/Q57568142007-09-05Paper
On the homogenization of some boundary-value problems in domains with thin channels2007-08-07Paper
https://portal.mardi4nfdi.de/entity/Q34123132006-12-05Paper
https://portal.mardi4nfdi.de/entity/Q33729392006-03-10Paper
https://portal.mardi4nfdi.de/entity/Q30246562005-07-01Paper
Homogenizaton of a nonhomogeneous Signorini problem for the Poisson equation in a periodically perforated domain2005-03-15Paper
On the averaging of a boundary value problem for the biharmonic equation in a domain containing thin short channels.2004-06-15Paper
https://portal.mardi4nfdi.de/entity/Q44517472004-03-01Paper
Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length2003-07-14Paper
Homogenization of the Neumann problem in a domain a part of which is a set of channels2003-05-25Paper
https://portal.mardi4nfdi.de/entity/Q45345412003-02-19Paper
Homogenization of boundary value problems in domains with rapidly oscillating nonperiodic boundary2002-01-16Paper
https://portal.mardi4nfdi.de/entity/Q45274092001-02-06Paper
On homogenization of the mixed boundary value problem for the heat equation in a domain whose part contains channels arranged in a periodic way2000-11-13Paper
On averaging of elliptic problems in perforated domains with non-periodic structure1999-09-02Paper
https://portal.mardi4nfdi.de/entity/Q42351401999-05-03Paper
The asymptotic expansion of the solution to the Cauchy problem for a parabolic equation in a perforated space1999-03-15Paper
https://portal.mardi4nfdi.de/entity/Q42267731999-02-08Paper
On homogenization of solutions of the poisson equation in a perforated domain with different types of boundary conditions on different cavities1998-12-13Paper
On the Dirichlet problem for the biharmonic equation in a domain, perforated along manifolds of small dimension1998-06-23Paper
Averaging the Laplace operator in a domain containing periodically located channels with Neumann boundary conditions1998-06-17Paper
https://portal.mardi4nfdi.de/entity/Q43808081998-06-04Paper
https://portal.mardi4nfdi.de/entity/Q43503101998-01-07Paper
On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary1997-11-20Paper
Averaging of the solutions of the Dirichlet problem in a partly perforated general type domain of nonperiodic structure1997-07-13Paper
https://portal.mardi4nfdi.de/entity/Q31263131997-03-31Paper
https://portal.mardi4nfdi.de/entity/Q48911031996-10-27Paper
On the convergence of solutions of parabolic equations with rapidly oscillating coefficients in perforated domains1996-05-21Paper
On homogenization problems for the Laplace operator in partially perforated domains with Neumann's condition on the boundary of cavities1996-04-17Paper
https://portal.mardi4nfdi.de/entity/Q33649741996-01-01Paper
Averaging of the mixed problem for a parabolic equation in a perforated domain1986-01-01Paper
On the strong \({\mathfrak G}\)-convergence of a sequence of systems of elasticity theory1984-01-01Paper

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