Geodesic
Blow-Up of Solutions of Coupled Parabolic Systems and Hyperbolic Equations
Matematičeskie zametki, Tome 112 (2022) no. 3, pp. 391-397

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     author = {J. V. Kalantarova and V. K. Kalantarov},
     title = {Blow-Up of {Solutions} of {Coupled} {Parabolic} {Systems} and {Hyperbolic} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {391--397},
     publisher = {mathdoc},
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     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_3_a7/}
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J. V. Kalantarova; V. K. Kalantarov. Blow-Up of Solutions of Coupled Parabolic Systems and Hyperbolic Equations. Matematičeskie zametki, Tome 112 (2022) no. 3, pp. 391-397. http://geodesic.mathdoc.fr/item/MZM_2022_112_3_a7/