Penetration of an aggressive medium into a tubular rod with an ring cross-section

Title	Penetration of an aggressive medium into a tubular rod with an ring cross-section
Authors	E. B. Kuznetsov¹, S. S. Leonov^{1, 2} ¹Moscow Aviation Institute (National Research University) ²Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)
Annotation	When solving the problem of aggressive media penetration into the construction material, it is necessary to know the movement of the aggression front, but the classical diffusion equation describing this process is a parabolic equation and does not specify the movement of this front. In this paper, for the first time, this process is described by a hyperbolic equation that defines the movement of the aggression front: the diffusion of an aggressive medium into the rod material is modeled by the heat wave equation, which makes it possible to isolate the movement of the diffusion front.
Keywords	diffusion front, aggression front, heat wave, Fourier method, Fourier-Bessel series.
Citation	Kuznetsov E. B., Leonov S. S. ''Penetration of an aggressive medium into a tubular rod with an ring cross-section'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 105-108. Available at: https://conf.svmo.ru/files/2026/papers/paper84.pdf. - Date of access: 25.09.2026.