Blow-up of solutions of coupled parabolic systems and hyperbolic equations
type: Item
instance of: scholarly article
title: Blow-up of solutions of coupled parabolic systems and hyperbolic equations
zbMATH Open document ID: 1500.35061
DOI: 10.1134/S0001434622090097
author: J. V. Kalantarova
author: V. K. Kalantarov
published in: Mathematical Notes
publication date: 2022-10-25T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35G61
zbMATH DE Number: 7606787
zbMATH Keywords: global nonexistence
zbMATH Keywords: blow-up of solutions
zbMATH Keywords: coupled system
zbMATH Keywords: concavity method
zbMATH Keywords: parabolic-hyperbolic system
MaRDI profile type: Publication
Wikidata QID: Q115526126
cites work: A reduction principle for coupled nonlinear parabolic-hyperbolic PDE
cites work: Q4139086
cites work: Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems
cites work: Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
cites work: Blow-Up in Nonlinear Equations of Mathematical Physics
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
cites work: A Note on a Nonexistence Theorem for Nonlinear Wave Equations
cites work: Explosive Instabilities in Mechanics
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: Blow-up of the solution of a nonlinear system of equations with positive energy
cites work: Solution blow-up in a nonlinear system of equations with positive energy in field theory
cites work: Sign-preserving functionals and blow-up to Klein–Gordon equation with arbitrary high energy
cites work: A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy
cites work: A blow-up result for Kirchhoff-type equations with high energy
cites work: Q3495776
cites work: Blow-up of solutions to the Cauchy problem in nonlinear one-dimensional thermoelasticity
cites work: The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
cites work: Global existence to the initial-boundary value problem for a system of nonlinear diffusion and wave equations
cites work: GLOBAL EXISTENCE TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR DIFFUSION AND WAVE EQUATIONS II
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description: scientific article; zbMATH DE number 7606787