Volodymyr Rybalko

Visiting Researcher at Analysis and Probability Theory

My research concerns various aspects of the theory of PDEs, such as
- Homogenization theory (dealing with PDEs that describe physical processes in media with microstructure);
- Calculus of variations problems arising in superconductivity theory (Ginzburg-Landau equations);
- Singularly perturbed problems;
- Free boundary problems related to biology (e.g., cell motility).

Source: chalmers.se
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Showing 6 publications

2024

Bifurcation of finger-like structures in traveling waves of epithelial tissues spreading

Leonid Berlyand, Antonina Rybalko, Volodymyr Rybalko et al
Journal of Mathematical Analysis and Applications. Vol. 538 (1)
Journal article
2024

Homogenization of nonlocal spectral problems

Andrey Piatnitski, Volodymyr Rybalko
Zeitschrift für Angewandte Mathematik und Physik. Vol. 75 (6)
Journal article
2023

Emergence of traveling waves and their stability in a free boundary model of cell motility

Volodymyr Rybalko, Leonid Berlyand
Transactions of the American Mathematical Society. Vol. 376 (3), p. 1799-1844
Journal article
2023

Bidomain Model for Axon Bundles with Random Geometry

Irina Pettersson, Antonina Rybalko, Volodymyr Rybalko
Springer Proceedings in Mathematics and Statistics. Vol. 429, p. 93-116
Paper in proceeding
2023

Derivation of a bidomain model for bundles of myelinated axons

Carlos Jerez-Hanckes, Isabel A. Martínez Ávila, Irina Pettersson et al
Nonlinear Analysis: Real World Applications. Vol. 70
Journal article
2021

Multiscale analysis of myelinated axons

Carlos Jerez-Hanckes, Isabel A. Martinez, Irina Pettersson et al
SEMA SIMAI Springer Series. Vol. 10, p. 17-35
Paper in proceeding

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Showing 1 research projects

2022–2024

Levande cellers matematik

Volodymyr Rybalko Analysis and Probability Theory
Swedish Foundation for Strategic Research (SSF)

2 publications exist
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