Blow-Up of Solutions of Coupled Parabolic Systems and Hyperbolic Equations
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Date
2022
Authors
Kalantarova, J., V
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Publisher
Maik Nauka/Interperiodica/Springer
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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.
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Keywords
global nonexistence, blow-up of solutions, coupled system, concavity method, Boundary Value-Problem, Nonlinear Diffusion, Global Existence, Wave-Equations, Nonexistence, Instability, Blow-up in context of PDEs, Initial-boundary value problems for systems of nonlinear higher-order PDEs, concavity method, blow-up of solutions, global nonexistence, parabolic-hyperbolic system, coupled system
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
1
Source
Mathematıcal Notes
Volume
112
Issue
3.Nis
Start Page
406
End Page
411
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CrossRef : 1
Scopus : 1
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