Study of a Model Equation in Detonation Theory: Multidimensional Effects

DOI10.1137/15M1039663zbMath1347.35035OpenAlexW2032020864MaRDI QIDQ2810038

Rodolfo Ruben Rosales, Aslan R. Kasimov, Luiz M. Faria

Publication date: 31 May 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1039663

zbMATH Keywords

cellular detonationdetonation analogsupersonic self-sustained traveling waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Combustion (80A25) Chemically reacting flows (80A32) Initial-boundary value problems for first-order hyperbolic systems (35L50) Traveling wave solutions (35C07)

Related Items (2)

A minimal hyperbolic system for unstable shock waves ⋮ Hydrodynamic bidimensional stability of detonation wave solutions for reactive mixtures

Cites Work

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• Stability of the square-wave detonation in a model system
• Two-dimensional numerical simulations of idealized detonations
• Numerical Simulation of Reactive Flow
• Theory of weakly nonlinear self-sustained detonations
• Statistical analysis of cellular detonation dynamics from numerical simulations: one-step chemistry
• A Qualitative Model for Dynamic Combustion
• Weak shock reflection
• Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection
• Simple mathematical models with very complicated dynamics
• Study of a Model Equation in Detonation Theory
• On Two‐Dimensional Non‐Steady Motion of a Slender Body in a Compressible Fluid

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