Coupled KS-CGL and coupled Burgers-CGL equations for flames governed by a sequential reaction

DOI10.1016/S0167-2789(98)00318-2zbMath0951.76096MaRDI QIDQ1808278

A. A. Golovin, Alvin Bayliss, Alexander A. Nepomnyashchy, Bernard J. Matkowsky

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

damped monotonic modedamped oscillatory modeexcited monotonic modeexcited oscillatory modesequential chemical reactionsystem of complex Ginzburg-Landau and Burgers equationsuniformly propagating combustion wave

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Classical flows, reactions, etc. in chemistry (92E20) Combustion (80A25) Chemically reacting flows (80A32) Reaction effects in flows (76V05) Hydrodynamic stability (76E99)

Related Items (6)

The asymptotic behavior of the stochastic coupled Kuramoto-Sivashinsky and Ginzburg-Landau equations ⋮ Planar, solitary, and spiral waves of the Burgers-CGL equations for flames governed by a sequential reaction ⋮ Long time behavior of solutions to coupled Burgers-complex Ginzbury-Landau (Burgers-CGL) equations for flames governed by sequential reaction ⋮ Traveling and spiral waves for sequential flames with translation symmetry: coupled CGL-Burgers equations ⋮ The global solution and nonlinear stability for the coupled CGL–Burgers equations for sequential flames in ℝN ⋮ A complex Swift-Hohenberg equation coupled to the Goldstone mode in the nonlinear dynamics of flames

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