Multiple transonic solutions and a new class of shock transitions in solar and stellar winds

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Numerical Integration, Shock Waves, Solar Wind Velocity, Stellar Winds, Transonic Flow, Conservation Equations, Equations Of Motion, Isothermal Flow, Momentum, Time Dependence, Wind Profiles

Scientific paper

The steady isothermal solar wind equations are shown to admit, under certain circumstances, mutliple transonic solutions when, for example, momentum deposition gives rise to multiplee critical points in the flow. These multiple solutions consist of a continuous solution and solutions which involve shock transitions between critical solutions. The ambiguity arising from the multiplicity of the solutions can be resolved by following the time evolution of a wind profile with one critical point. Results of the numerical integration of the time-dependent equations with momentum addition show that each of these multiple solutions is physically accessible and depends on the rate of change of momentum deposition. These results suggest that standing shocks are likely to be present in the inner solar wind flow.

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