Valentin Lychagin

Valentin Lychagin is a Professor in the Department of Mathematics and Statistics at UiT The Arctic University of Norway. His research lies at the intersection of differential geometry, mathematical physics, and applied mathematics, with a focus on symmetry analysis, differential invariants, and geometric modeling of physical systems.

His research interests include Differential Geometry, Fluid Dynamics, Thermodynamics, Continuum Mechanics, Control Theory, and Image Recognition. He applies geometric and algebraic methods to study fluid flows, filtration in porous media, phase transitions, and Hamiltonian systems. His work frequently involves the construction of differential invariants and their applications in symmetry classification and exact solutions of PDEs.

The recent publications span topics such as symmetry classification of viscous and inviscid flows, geometric structures in relativity, thermodynamic modeling of real gases, optimal control in oil recovery, and geometric methods in image recognition. These works demonstrate a strong trend toward unifying geometric frameworks with physical modeling, particularly using tools from Lie group analysis, jet space theory, and contact geometry.

His scientific contributions include collaborations with prominent mathematicians such as Valeriy Yumaguzhin, Alexei Kushner, Anna Duyunova, and Nadiia Konovenko. While no formal awards are listed, his consistent publication record in high-quality journals and books with Springer Nature underscores his scholarly impact.

Lychagin advises or collaborates with several researchers, though no explicit list of students is provided. His work involves theoretical development with applications in engineering and physics, particularly in energy and environmental modeling. He has contributed to models of oil displacement, filtration dynamics, and nonlinear wave propagation.

He is affiliated with a research group focused on geometric methods in differential equations and mathematical physics. His office is located in Realfagbygget A219, and he maintains an active research profile through UiT’s Cristin system.