Existence of global bounded smooth solutions for the one‐dimensional nonisentropic Euler system
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DOI: 10.1002/mma.6933
Abstract: We study the existence of global bounded smooth solutions to the one‐dimensional (1D) nonisentropic Euler system with large initial data. We derive a group of characteristic decompositions for the 1D nonisentropic Euler system. Using these… read more here.
Keywords: global bounded; existence global; euler system; nonisentropic euler ... See more keywords
An Euler system for GU(2, 1)
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DOI: 10.1007/s00208-021-02224-4
Abstract: We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspidal automorphic representations of $${{\,\mathrm{GL}\,}}_3$$ GL 3 over imaginary quadratic fields, using the cohomology of Shimura varieties for $${\text {GU}}(2, 1)$$ GU (… read more here.
Keywords: jats inline; euler system; math; mml ... See more keywords
Structural stability of transonic shocks for the full compressible Euler system in a two-dimensional general nozzle with an external force
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DOI: 10.1063/5.0218852
Abstract: In this paper, we investigate the transonic shock solutions to the full compressible Euler system in a general two-dimensional nozzle with an external force. In their book, Courant and Friedrichs [Supersonic Flow and Shock Waves… read more here.
Keywords: shock; external force; euler system;
The limits of Riemann solutions for the isentropic Euler system with extended Chaplygin gas
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DOI: 10.1080/00036811.2018.1469009
Abstract: ABSTRACT The Riemann problem for the isentropic Euler system with the state equation for the extended Chaplygin gas is considered, and the Riemann solutions are constructed completely for all the cases. The limiting relations of… read more here.
Keywords: chaplygin gas; euler system; isentropic euler; extended chaplygin ... See more keywords