A semi-analytic ODE matching method with a hyperbolic approximation yields shell thickness ratios of polytropic wind-driven bubbles in 1/r^2 ambient media, in agreement with 1D simulations for strong shocks.
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Polytropic Wind-Driven Bubbles and their Shock Structures in Radially Stratified Ambient Media
A semi-analytic ODE matching method with a hyperbolic approximation yields shell thickness ratios of polytropic wind-driven bubbles in 1/r^2 ambient media, in agreement with 1D simulations for strong shocks.