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Global existence of smooth solutions to 2D Chaplygin gases on curved space
Author(s) -
Luoa Shaoying,
Wei ChangHua
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3885
Subject(s) - mathematics , space (punctuation) , vorticity , mathematical analysis , manifold (fluid mechanics) , chaplygin gas , constant (computer programming) , riemannian manifold , flow (mathematics) , initial value problem , mathematical physics , vortex , geometry , physics , mechanics , mechanical engineering , philosophy , linguistics , cosmology , quantum mechanics , dark energy , computer science , engineering , programming language
This paper investigates the smooth solution of 2D Chaplygin gas equations on an asymptotically flat Riemannian manifold. Under the assumption that the initial data are close to a constant state and the vorticity of the initial velocity vanishes, we prove the global existence of smooth solutions to the Cauchy problem for two‐dimensional flow of Chaplygin gases on curved space. Copyright © 2016 John Wiley & Sons, Ltd.