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math.AP2022
Asymptotic decay towards steady states of solutions to very fast and singular diffusion equations
Georgy Kitavtsev, Roman M. Taranets
We analyze long-time behavior of solutions to a class of problems related to very fast and singular diffusion porous medium equations having nonhomogeneous in space and time source…
math.AP2022★ 1 cited
Qualitative analysis of solutions for a degenerate PDE model of epidemic dynamics
Marina Chugunova, Roman Taranets, Nataliya Vasylyeva
Compartmental models are widely used in mathematical epidemiology to describe dynamics of infection disease. A new SIS-PDE model, recently derived by Chalub and Souza, is based on…