Global Entropy Solutions to the Gas Flow in General Nozzle

DOI10.1137/19M1249436zbMath1421.35259arXiv1903.04010MaRDI QIDQ5231340

Wentao Cao, Difan Yuan, Fei-Min Huang

Publication date: 26 August 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04010

zbMATH Keywords

compensated compactnessuniform estimateisentropic gas flowindependent of timeisothermal gas flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for first-order hyperbolic systems (35L45) Euler equations (35Q31)

Related Items (7)

Cauchy problem for isothermal system in a general nozzle with space-dependent friction ⋮ Existence of entropy solutions to system of polytropic gas with a class of unbounded sources ⋮ The global existence of L∞$L^{\infty }$ solutions to isentropic Euler equations in general nozzle ⋮ Large-time behavior of entropy solutions to bipolar hydrodynamic model for semiconductors ⋮ Existence of global solutions for isentropic gas flow with friction ⋮ Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force ⋮ Soluciones globales para sistema isotérmico con fuente

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