4 problems
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ZND-limit stability conjecture for system detonations
Let a system detonation have an associated ZND detonation and a component Neumann shock. Gas-dynamical stability refers to stability of this component Neumann shock, while hyperbol…
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Conjecture on the ideal-gas monotonicity condition for reacting equations of state
Consider a reaction-dependent equation of state in which the flux and thermodynamic coefficients interpolate between burned and unburned gases, and suppose each pure gas obeys the…
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Majda's conjecture on weak detonation profiles
Consider Majda's model for reacting flow with reaction-rate parameter , ignition state , and weak detonation profiles connecting the burned state to an unburned state wit…
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The viscous hyperstabilization conjecture for detonation waves
For detonation waves with diffusive effects, increasing activation energy can cause unstable eigenvalues to return to the stable complex half plane. Viscous hyperstabilization conj…