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Vladimir Kozlov

Professor Emeritus

I am interested in mathematics and its applications to real life problems. I am convinced that mathematics plays and will play a very important role in numerous applications. Mathematics delivers a universal language to describe structures and relations, and which can be used in all real life problems.

My current interests lie in applications of mathematics in biology, medicine and water wave theory. As a mathematician my fields of interests are partial differential equations and inverse problems.

Research

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Mathematical Modelling of the Blood Circulatory System

Mathematical models of the circulatory system can be used in order to better understand the system and so help diagnose blood-vascular diseases and other problems while also enabling planning for the treatment of these diseases.
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Inverse Problems in Natural Sciences

Solutions of inverse problems involve finding parameters of a physical system by using some measurements and a mathematical model describing the system. Such problems are often found in applications and their importance will increase in the future.

Publications

2025

Vladimir Kozlov (2025) On the first bifurcation of stokes waves St. Petersburg Mathematical Journal, Vol. 36, p. 217-233 (Article in journal) https://dx.doi.org/10.1090/spmj/1855
Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2025) Reconstructing of the radiation condition and solution for a variable coefficient Helmholtz equation in a semi-infinite strip from Cauchy data on an interior segment Journal of Mathematical Analysis and Applications, Vol. 541, Article 128684 (Article in journal) https://dx.doi.org/10.1016/j.jmaa.2024.128684

2024

Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2024) Reconstruction of the Radiation Condition and Solution for the Helmholtz Equation in a Semi-infinite Strip from Cauchy Data on an Interior Segment Computational Methods in Applied Mathematics, Vol. 24, p. 813-828 (Article in journal) https://dx.doi.org/10.1515/cmam-2022-0244
Vladimir Kozlov (2024) On the first subharmonic bifurcations in a branch of Stokes water waves Journal of Differential Equations, Vol. 379, p. 676-720 (Article in journal) https://dx.doi.org/10.1016/j.jde.2023.10.038

2023

Jennifer Chepkorir, Fredrik Berntsson, Vladimir Kozlov (2023) Solving stationary inverse heat conduction in a thin plate Partial Differential Equations and Applications, Vol. 4, Article 50 (Article in journal) https://dx.doi.org/10.1007/s42985-023-00267-7
Vladimir Kozlov (2023) The subharmonic bifurcation of Stokes waves on vorticity flow Journal of Differential Equations, Vol. 361, p. 183-218 (Article in journal) https://dx.doi.org/10.1016/j.jde.2023.02.062
Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2023) Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain Journal of Inverse and Ill-Posed Problems, Vol. 31 (Article in journal) https://dx.doi.org/10.1515/jiip-2020-0133
Vladimir Kozlov, Jurgen Rossmann (2023) On the Neumann problem for the nonstationary Stokes system in angles and cones Mathematische Nachrichten, Vol. 296, p. 1504-1533 (Article in journal) https://dx.doi.org/10.1002/mana.202100115
Vladimir Kozlov, Evgeniy Lokharu (2023) On negative eigenvalues of the spectral problem for water waves of highest amplitude Journal of Differential Equations, Vol. 342, p. 239-281 (Article in journal) https://dx.doi.org/10.1016/j.jde.2022.09.022
Vladimir Kozlov (2023) On Loops in Water Wave Branches and Monotonicity of Water Waves Journal of Mathematical Fluid Mechanics, Vol. 25, Article 9 (Article in journal) https://dx.doi.org/10.1007/s00021-022-00753-9

Organisation

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Analysis and Mathematics Education (ANDI)

The Division of Analysis and Mathematics Education conducts both interdisciplinary and applied research in various branches of analysis and didactics of mathematics.
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Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.
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About LiU

Linköping University, LiU, offers innovative education and boundary-crossing research. The students are among the most desirable in the labour market and international rankings consistently place LiU as a leading global university.