Homogenization and concentration for a diffusion equation with large convection in a bounded domain G Allaire, I Pankratova, A Piatnitski Journal of Functional Analysis 262 (1), 300-330, 2012 | 17 | 2012 |
On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder I Pankratova, A Piatnitski DCDS-B 11 (4), 2009 | 15 | 2009 |
Homogenization of the spectral problem for periodic elliptic operators with sign-changing density function SA Nazarov, IL Pankratova, AL Piatnitski Archive for rational mechanics and analysis 200 (3), 747-788, 2011 | 12 | 2011 |
Spectral asymptotics for an elliptic operator in a locally periodic perforated domain I Pankratova, K Pettersson Applicable Analysis 94 (6), 1207-1234, 2015 | 11 | 2015 |
Localization effect for a spectral problem in a perforated domain with Fourier boundary conditions VC Piat, I Pankratova, A Piatnitski SIAM Journal on Mathematical Analysis 45 (3), 1302-1327, 2013 | 9 | 2013 |
Homogenization of convection-diffusion equation in infinite cylinder I Pankratova, A Piatnitski Homogenization of singular convection-diffusion equations and indefinite …, 2011 | 8 | 2011 |
Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer G Allaire, I Pankratova, A Piatnitski SeMA Journal 58 (1), 53-95, 2012 | 7 | 2012 |
Derivation of cable equation by multiscale analysis for a model of myelinated axons C Jerez-Hanckes, I Pettersson, V Rybalko arXiv preprint arXiv:1805.01708, 2018 | 6 | 2018 |
Two-scale convergence in thin domains with locally periodic rapidly oscillating boundary I Pettersson arXiv, 2017 | 5 | 2017 |
Homogenization of spectral problem for locally periodic elliptic operators with sign-changing density function I Pankratova, A Piatnitski Journal of Differential Equations 250 (7), 3088-3134, 2011 | 5 | 2011 |
Spectral asymptotics for a singularly perturbed fourth order locally periodic elliptic operator A Chechkina, I Pankratova, K Pettersson Asymptotic Analysis 93 (1-2), 141-160, 2015 | 2 | 2015 |
Homogenization of a convection–diffusion equation in a thin rod structure G Panasenko, I Pankratova, A Piatnitski Integral Methods in Science and Engineering, Volume 1, 279-290, 2010 | 2 | 2010 |
Programming in mathematics teacher education–a collaborative teaching approach O Viirman, I Pettersson, J Björklund, J Boustedt INDRUM 2018, 2018 | 1 | 2018 |
Stationary convection-diffusion equation in an infinite cylinder I Pettersson, A Piatnitski arXiv, 2017 | 1 | 2017 |
Multiscale Analysis of Myelinated Axons C Jerez-Hanckes, IA Martínez, I Pettersson, V Rybalko Emerging Problems in the Homogenization of Partial Differential Equations, 17-35, 2021 | | 2021 |
A feedforward neural network for modelling of average pressure frequency response K Pettersson, A Karzhou, I Pettersson arXiv preprint arXiv:2012.02276, 2020 | | 2020 |
What to do when there is no formula? Navigating between less and more familiar routines for determining velocity in a calculus task for engineering students O Viirman, I Pettersson Calculus in upper secondary and beginning university mathematics, 118, 2019 | | 2019 |
Spectral asymptotics for a singularly perturbed fourth order locally periodic self-adjoint elliptic operator A Chechkina, I Pankratova, K Pettersson arXiv preprint arXiv:1408.3627, 2014 | | 2014 |
Concentration of eigenfunctions of a locally periodic elliptic operator with large potential in a perforated cylinder I Pankratova, K Pettersson arXiv preprint arXiv:1403.5159, 2014 | | 2014 |
Homogenization of singular convection-diffusion equations and indefinite spectral problems I Pankratova Ecole Polytechnique X, 2011 | | 2011 |