The blowup of solutions for 3-D axisymmetric compressible Euler equations

DOI10.1017/S0027763000025368zbMath0931.35133OpenAlexW1486458157MaRDI QIDQ4267429

Hui Cheng Yin, Qingjiu Qiu

Publication date: 23 February 2000

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000025368

zbMATH Keywords

compressible Euler equationsasymptotic expansion of lifespansmall perturbed initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (14)

Blow up of solutions to 1-d Euler equations with time-dependent damping ⋮ GLOBAL MULTIDIMENSIONAL SHOCK WAVE FOR THE STEADY SUPERSONIC FLOW PAST A THREE-DIMENSIONAL CURVED CONE ⋮ Blowup for the 3D compressible Euler equations ⋮ Blowup of the axis-symmetric solutions for the IBVP of the isentropic Euler equations ⋮ Global existence and blowup of smooth solutions of 3-D potential equations with time-dependent damping ⋮ Singularities of solutions to compressible Euler equations with damping ⋮ Blow-up of compressible Navier-Stokes-Korteweg equations ⋮ On the blowup of classical solutions to the 3-D pressure-gradient systems ⋮ Blowup of the solutions for the IBVP of the isentropic Euler equations with damping ⋮ The blowup mechanism of small data solutions for the quasilinear wave equations in three space dimensions ⋮ Blowup for the compressible isothermal Euler equations with non-vacuum initial data ⋮ The lifespan of a class of smooth spherically symmetric solutions of the compressible Euler equations with variable entropy in three space dimensions ⋮ On the blowup and lifespan of smooth solutions to a class of 2-D nonlinear wave equations with small initial data ⋮ Blow-up of smooth solutions to the compressible barotropic Navier-Stokes-Korteweg equations on bounded domains

Cites Work

• Formation of singularities in three-dimensional compressible fluids
• Lifespan of regular solutions for axisymmetric compressible Euler equations in two dimensions
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Remarks on the global sobolev inequalities in the minkowski space Rⁿ⁺¹

This page was built for publication: The blowup of solutions for 3-D axisymmetric compressible Euler equations