Global entropy solutions to multi-dimensional isentropic gas dynamics with spherical symmetry

DOI10.1088/1361-6544/ab31cezbMath1429.35158arXiv1711.04430OpenAlexW2981192277MaRDI QIDQ5240848

Difan Yuan, Tian-Hong Li, Fei-Min Huang

Publication date: 29 October 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.04430

zbMATH Keywords

entropy solutionscompensated compactnessuniform estimateisentropic gascompressible isentropic fluidmulti-dimensional Euler flownon-steady Euler equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Euler equations (35Q31)

Related Items (6)

Axisymmetric solutions of the shallow water equations with bottom topography ⋮ Unnamed Item ⋮ Large-time behavior of entropy solutions to bipolar hydrodynamic model for semiconductors ⋮ Existence and large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices with variable coefficient damping ⋮ Global weak solutions to the Euler-Vlasov equations with finite energy ⋮ Global Bounded Weak Entropy Solutions to the Euler--Vlasov Equations in Fluid-Particle System

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