作者: Gui-Qiang G. Chen , Gui-Qiang G. Chen , Mikhail Perepelitsa
DOI: 10.1007/S00220-015-2376-Y
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摘要: We are concerned with spherically symmetric solutions of the Euler equations for multidimensional compressible fluids, which motivated by many important physical situations. Various evidences indicate that may blow up near origin at a certain time under some circumstance. The central feature is strengthening waves as they move radially inward. A longstanding open, fundamental problem whether concentration could be formed origin. In this paper, we develop method vanishing viscosity and related estimate techniques approximate solutions, establish convergence to global finite-energy entropy solution isentropic spherical symmetry large initial data. This indicates not in limit, even though density time. To achieve this, first construct smooth appropriate initial-boundary value problems designed terms, pressure function, boundary conditions, then strong equations.