A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case
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Publication:2068771
DOI10.3934/EECT.2020085zbMath1481.35081arXiv1909.09348OpenAlexW2974049690MaRDI QIDQ2068771
Alessandro Palmieri, Wenhui Chen
Publication date: 20 January 2022
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.09348
Critical exponents in context of PDEs (35B33) Initial value problems for higher-order hyperbolic equations (35L30) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)
Related Items (13)
Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition ⋮ Global existence and estimates for Blackstock's model of thermoviscous flow with second sound phenomena ⋮ Formation of singularities of solutions to the Cauchy problem for semilinear Moore-Gibson-Thompson equations ⋮ A note on blow-up results for semilinear wave equations in de Sitter and anti-de Sitter spacetimes ⋮ A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type ⋮ Blow-up of solutions for the Moore-Gibson-Thompson equations on exterior domain in two dimensions. ⋮ Unnamed Item ⋮ Global existence and blow-up for the classical solutions of the long-short wave equations with viscosity ⋮ Unnamed Item ⋮ The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case ⋮ A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type ⋮ Boundary feedback stabilization of a critical nonlinear JMGT equation with Neumann-undissipated part of the boundary ⋮ Lifespan estimates for a class of semilinear wave equations with time- and space-dependent coefficients on the power nonlinearity
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