Abstract
In this paper we study two-dimensional Riemann problems of the Euler system for Chaplygin gas with initial data being three constant states separated by a Y-type curve. We prove that the general two-dimensional Y-type Riemann problem for the isentropic and irrotational Chaplygin gas admits a global self-similar solution, provided that the three initial states are close enough. Meanwhile, we describe the global wave structure in general cases. Our conclusion extends Lax's result for the one-dimensional Riemann problem of compressible flow to the two-dimensional case for Chaplygin gas.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
