Study of the solvability and qualitative behavior of solutions to initial-boundary value problems of non-Newtonian fluid dynamics
Main publications:
V. G. Zvyagin, M. V. Turbin, Matematicheskie voprosy gidrodinamiki vyazkouprugikh sred, KRASAND, M., 2012
V. G. Zvyagin, M. V. Turbin, “Issledovanie nachalno-kraevykh zadach dlya matematicheskikh modelei dvizheniya zhidkostei Kelvina-Foigta”, Sovremennaya matematika. Fundamentalnye napravleniya, 31 (2009), 3-144
V. Zvyagin, M. Turbin, “Weak solvability of the initial-boundary value problem for inhomogeneous incompressible Kelvin-Voigt fluid motion model of arbitrary finite order”, Journal of Fixed Point Theory and Applications, 25:3 (2023), Article number 63
M. Turbin, A. Ustiuzhaninova, “Existence of weak solution to initial-boundary value problem for finite order Kelvin-Voigt fluid motion model”, Boletín de la Sociedad Matemática Mexicana, 29:2 (2023), Article number 54
M. Turbin, A. Ustiuzhaninova, “Trajectory and Global Attractors for the Kelvin-Voigt Model Taking into Account Memory along Fluid Trajectories”, Mathematics, 12:2 (2024), Article number 266