Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases

DOI10.1142/S0219891620500186zbMath1456.35128OpenAlexW3096904612WikidataQ115245190 ScholiaQ115245190MaRDI QIDQ3387946

Yu-Zhu Wang, Chang-Hua Wei

Publication date: 8 January 2021

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891620500186

zbMATH Keywords

Euler equationsglobal in time solutionnull conditionChaplygin gases

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Euler equations (35Q31)

Related Items (3)

Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta-Kawashima condition ⋮ Global smooth solutions to the two dimensional compressible Euler equations with the rotational Coriolis forcing ⋮ Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant
• On the formation of shocks for quasilinear wave equations
• Global radial solutions to 3D relativistic Euler equations for non-isentropic Chaplygin gases
• Global existence of a class of smooth 3D spherically symmetric flows of Chaplygin gases with variable entropy
• Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
• The global stability of Minkowski space-time in harmonic gauge
• The weak null condition for Einstein's equations.
• The lifespan of 3D radial solutions to the non-isentropic relativistic Euler equations
• Shock formation in solutions to the \(2D\) compressible Euler equations in the presence of non-zero vorticity
• Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
• Formation and propagation of singularities in one-dimensional Chaplygin gas
• The global smooth symmetric solution to 2-D full compressible Euler system of Chaplygin gases
• Small-data shock formation in solutions to 3D quasilinear wave equations: An overview
• Compressible Flow and Euler's Equations
• Formation of singularities in one-dimensional Chaplygin gas
• The Small Data Solutions of General 3D Quasilinear Wave Equations. I
• Global solutions of nonlinear hyperbolic equations for small initial data
• Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state
• The hidden null structure of the compressible Euler equations and a prelude to applications
• Global solutions of quasilinear wave equations

This page was built for publication: Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases