The global existence of L∞$L^{\infty }$ solutions to isentropic Euler equations in general nozzle

Yun‐guang Lu, Jianjun Chen, Weifeng Jiang, Christian Klingenberg and Guoqiao You

Mathematische Nachrichten, 2024, vol. 297, issue 1, 38-51

Abstract: In this paper, we study the global L∞$L^{\infty }$ entropy solutions for the Cauchy problem of the isentropic gas dynamics system in a general nozzle with bounded initial date. First, we apply for the flux‐approximation technique coupled with the classical viscosity method to obtain the L∞$L^{\infty }$ estimates of the viscosity solutions. Second, we prove the pointwise convergence of the approximation solutions by using the compactness framework for any adiabatic exponent γ>1$\gamma >1$.

Date: 2024
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https://doi.org/10.1002/mana.202200400

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:297:y:2024:i:1:p:38-51

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