This article is cited in 2 papers

Blow-Up of Solutions of Coupled Parabolic Systems and Hyperbolic Equations

J. V. Kalantarova^a, V. K. Kalantarov<sup>b

a</sup> Izmir University of Economics
^b Koç University

Abstract: The 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.

Keywords: global nonexistence, blow-up of solutions, coupled system, concavity method.

UDC: 517

Received: 13.02.2022
Revised: 28.04.2022

DOI: 10.4213/mzm13658

 English version: Mathematical Notes, 2022, 112:3, 406–411

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