Research presentation

Irina Pettersson

Research presentation

Irina Pettersson

Senior lecturer, PhD in mathematics and in applied mathematics

Research subject: Matematik

Research interests: partial differential equations, asymptotic analysis, homogenization, modeling of biological cells, sound damping.

CURRENT RESEARCH

  • Modeling of biological tissues under electrical stimulation.
  • Sound damping in porous media.

READ MORE ABOUT


Articles


Scholarly articles, refereed

Jerez-Hanckes, C., Pettersson, I. & Rybalko, V. (2020). Derivation of cable equation by multiscale analysis for a model of myelinated axons. Discrete and continuous dynamical systems. Series B, 25 (3), 815-839. 10.3934/dcdsb.2019191 [More information]
Pettersson, I. & Piatnitski, A. (2018). Stationary convection-diffusion equation in an infinite cylinder. Journal of Differential Equations, 264 (7), 4456-4487. 10.1016/j.jde.2017.12.015 [More information]
Pettersson, I. (2017). Two-scale convergence in thin domains with locally periodic rapidly oscillating boundary. Differential Equations & Applications, 9 (3), 393-412. 10.7153/dea-2017-09-28 [More information]
Chechkina, A., Pankratova, I. & Pettersson, K. (2015). Spectral asymptotics for a singularly perturbed fourth order locally periodic elliptic operator. Asymptotic Analysis, 93 (1-2), 141-160. 10.3233/ASY-151291 [More information]
Pankratova, I. & Pettersson, K. (2015). Spectral asymptotics for an elliptic operator in a locally periodic perforated domain. Applicable Analysis, 94 (6), 1207-1234. 10.1080/00036811.2014.924110 [More information]
Chiadò Piat, V., Pankratova, I. & Piatnitski, A. (2013). Localization effect for a spectral problem in a perforated domain with Fourier boundary conditions. SIAM Journal on Mathematical Analysis, 45 (3), 1302-1327. 10.1137/120868724 [More information]
Allaire, G., Pankratova, I. & Piatnitski, A. (2012). Homogenization and concentration for a diffusion equation with large convection in a bounded domain. Journal of Functional Analysis, 262 (1), 300-330. 10.1016/j.jfa.2011.09.014 [More information]
Allaire, G., Pankratova, I. & Piatnitski, A. (2012). Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer. SeMA Journal, 58 (1), 53-95. [More information]
Pankratova, I. & Piatnitski, A. (2011). Homogenization of convection-diffusion equation in infinite cylinder. Networks and Heterogeneous Media, 6 (1), 111-126. 10.3934/nhm.2011.6.111 [More information]
Pankratova, I. & Piatnitski, A. (2011). Homogenization of spectral problem for locally periodic elliptic operators with sign-changing density function. Journal of Differential Equations, 250 (7), 3088-3134. 10.1016/j.jde.2011.01.022 [More information]
Nazarov, S., Pankratova, I. & Piatnitski, A. (2011). Homogenization of the spectral problem for periodic elliptic operators with sign-changing density function. Archive for Rational Mechanics and Analysis, 200 (3), 747-788. 10.1007/s00205-010-0370-2 [More information]
Pankratova, I. & Piatnitski, A. (2009). On the behaviour at infinity of solutions to stationary convection-diffusion equations in a cylinder. Discrete and continuous dynamical systems. Series B, 11 (4), 935-970. 10.3934/dcdsb.2009.11.935 [More information]

Book chapters

Panasenko, G., Pankratova, I. & Piatnitski, A. (2010). Homogenization of a convection-diffusion equation in a thin rod structure. Integral methods in science and engineering : Vol. 1. Boston: Birkhäuser Verlag. P. 279-290. 10.1007/978-0-8176-4899-2_26 [More information]

Conference papers

Viirman, O. & Pettersson, I. (2019). 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.. Calculus in upper secondary and beginning university mathematics – Conference proceedings. Kristiansand, Norway: MatRIC. P. 167-170. External link [More information]
Viirman, O., Pettersson, I., Björklund, J. & Boustedt, J. (2018). Programming in mathematics teacher education : A collaborative teaching approach. . P. 464-465. External link [More information]
Published by: Camilla Haglund Page responsible: Gunilla Mårtensson Updated: 2019-12-06
Högskolan i Gävle
www.hig.se
Box 801 76 GÄVLE
026-64 85 00 (växel)