Free boundary problem for compressible flows with density-dependent viscosity coefficients (Q651977)

The main subject is to prove the global existence, uniqueness and continuous dependence on initial date of a weak solution to spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity coefficients. The proof is based on a transformation of the problem to the corresponding Lagrangian evolutionary problem, and on a space-discrete difference scheme which enables the construction of approximate solutions.