Spherically symmetric solutions to the compressible Euler equation with an asymptotic \(\gamma\)-law

DOI10.1007/BF03167459zbMath1039.76055OpenAlexW2081417660MaRDI QIDQ1394564

Cheng-Hsiung Hsu, Tetu Makino

Publication date: 2003

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167459

zbMATH Keywords

weak solutionexistenceEuler equationperfect gas

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (8)

Existence of periodic solutions to an isothermal relativistic Euler system ⋮ Global entropy solutions to the compressible Euler equations in the isentropic nozzle flow for large data. Application of the generalized invariant regions and the modified Godunov scheme ⋮ Existence and stability of solutions to the compressible Euler equations with an outer force ⋮ GLOBAL SOLUTIONS TO THE COMPRESSIBLE EULER EQUATIONS WITH GRAVITATIONAL SOURCE ⋮ Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations ⋮ Existence of global solutions for isentropic gas flow in a divergent nozzle with friction ⋮ Existence of global solutions for unsteady isentropic gas flow in a Laval nozzle ⋮ LARGE TIME DECAY OF SOLUTIONS TO ISENTROPIC GAS DYNAMICS WITH SPHERICAL SYMMETRY

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• Global solutions to the compressible Euler equations with geometrical structure
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• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system

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