2010•Unpublished venueRequires access
Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
Kong De
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Abstract
In this paper we investigate the two-dimensional compressible isentropic Euler equations for Chaplygin gases. Under the assumption that the initial data is close to a constant state and the vorticity of the initial velocity vanishes, we prove the global existence of the smooth solution to the Cauchy problem for twodimensional flow of Chaplygin gases.