Department of Mathematics2024-11-0920220001-434610.1134/S00014346220900972-s2.0-85140619347http://dx.doi.org/10.1134/S0001434622090097https://hdl.handle.net/20.500.14288/14632The problem of the blow-up of solutions of coupled systems of nonlinear parabolic and hyperbolic equations of second order is studied. The concavity method and its modifications are used to find sufficient conditions for the blow-up of solutions for an arbitrary positive initial energy of the problem.MathematicsJournal Article1573-8876871088800009Q412049