Local Well-Posedness of Dynamics of Viscous Gaseous Stars
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🧮 math.AP
math-phmath.MP
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boundarylocalvacuumwell-posednessadiabaticbehaviorcapturescompressible
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We establish the local in time well-posedness of strong solutions to the vacuum free boundary problem of the compressible Navier-Stokes-Poisson system in the spherically symmetric and isentropic motion. Our result captures the physical vacuum boundary behavior of the Lane-Emden star configurations for all adiabatic exponents $\gamma>{6/5}$.
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