On the blow-up of solutions to some semilinear and quasilinear reaction- diffusion systems

DOI10.1216/rmjm/1181072348zbMath0822.35015OpenAlexW1973084363MaRDI QIDQ1890801

Selwyn L. Hollis, Jeffrey J. Morgan

Publication date: 27 June 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072348

zbMATH Keywords

blow-up in all componentsone-step reversible chemical reactions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20)

Related Items (5)

Invariant regions and existence of global solutions to a generalized m-component reaction-diffusion system with tridiagonal symmetric Toeplitz diffusion matrix ⋮ Global existence in reaction-diffusion systems with control of mass: a survey ⋮ Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion ⋮ Global classical solutions for mass-conserving, (super)-quadratic reaction-diffusion systems in three and higher space dimensions ⋮ Improved Duality Estimates and Applications to Reaction-Diffusion Equations

Cites Work

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• On the global existence and asymptotic behavior of solutions of reaction- diffusion equations
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• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Finite time blowup for semilinear reactive-diffusive systems
• Interior estimates for a class of reaction-diffusion systems from \(L^ 1\) a priori estimates
• Global Existence for Semilinear Parabolic Systems
• Boundedness and Decay Results for Reaction-Diffusion Systems
• Global Existence and Boundedness in Reaction-Diffusion Systems
• Stability and Lyapunov Functions for Reaction-Diffusion Systems

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