Stability of a transonic profile arising from divergent detonations

DOI10.1080/03605300008821578zbMath0970.35118OpenAlexW1513026463MaRDI QIDQ4521109

Tong Li

Publication date: 21 October 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821578

zbMATH Keywords

maximum principleexistenceCauchy problemparabolic equationsreactive Navier-Stokes equationsclassical global solutionHölder a priori estimatesnonlinear stability of viscous transonic profileweakly curved detonation frontweakly nonlinear high activation energy

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Reaction effects in flows (76V05)

Related Items (1)

A stability index for detonation waves in Majda's model for reacting flow

Cites Work

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• Nonlinear singular sturm-liouville problems and an application to transonic flow through a nozzle
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• Rigorous asymptotic stability of a Chapman - Jouguet detonation wave in the limit of small resolved heat release
• The Effect of Curvature on Detonation Speed
• Nonlinear Stability of Strong Detonations for a Viscous Combustion Model
• Steady-State Analysis of Quasi-One-Dimensional Reactive Flow

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