Kalantarova, J., VKalantarov, V. K.2023-06-162023-06-1620220001-43461573-8876https://doi.org/10.1134/S0001434622090097https://hdl.handle.net/20.500.14365/2103The 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.eninfo:eu-repo/semantics/closedAccessglobal nonexistenceblow-up of solutionscoupled systemconcavity methodBoundary Value-ProblemNonlinear DiffusionGlobal ExistenceWave-EquationsNonexistenceInstabilityArticle10.1134/S00014346220900972-s2.0-85140619347