Blowup of the solutions for the IBVP of the isentropic Euler equations with damping

DOI10.1016/j.jmaa.2015.06.072zbMath1325.35154OpenAlexW920148428MaRDI QIDQ493797

Xu Sheng Zhu

Publication date: 4 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.06.072

zbMATH Keywords

initial-boundary value problemblowup\(C^1\) solutioncompressible isentropic Euler equations with damping

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (13)

Blowup for irrotational \(C^1\) solutions of the compressible Euler equations in \(\mathbb{R}^N\) ⋮ Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping ⋮ Blowup for the 3D compressible Euler equations ⋮ Surviving time estimates of local classical solutions to compressible Euler equations with logarithmic equation of state ⋮ Analytical blowup solutions to the compressible Euler equations with time-depending damping ⋮ Singularities of solutions to compressible Euler equations with damping ⋮ Unnamed Item ⋮ Blowup of smooth solutions to the compressible Euler equations with radial symmetry on bounded domains ⋮ New weighted functional for non-existence of global solutions to the non-isentropic compressible Euler equations ⋮ The lifespan of classical solutions to the (damped) compressible Euler equations ⋮ Blowup for the compressible isothermal Euler equations with non-vacuum initial data ⋮ Finite-time singularity formation for the original multidimensional compressible Euler equations for generalized Chaplygin gas ⋮ On finite-time blowup mechanism of irrotational compressible Euler equations with time-dependent damping

Cites Work

• Blowup for the Euler and Euler-Poisson equations with repulsive forces
• On the blowup of classical solutions to the 3-D pressure-gradient systems
• The regular solutions of the isentropic Euler equations with degenerate linear damping
• Blow-up phenomena of solutions to the Euler equations for compressible fluid flow
• The suppressible property of the solution for three-dimensional Euler equations with damping
• Formation of singularities in three-dimensional compressible fluids
• Compressible Euler equations with vacuum
• Some recent results on compressible flow with vacuum
• Lifespan of regular solutions for axisymmetric compressible Euler equations in two dimensions
• Blowup for nonlinear hyperbolic equations
• Compressible flow with damping and vacuum
• Blowup of the axis-symmetric solutions for the IBVP of the isentropic Euler equations
• Sur la solution à support compact de l’equation d’Euler compressible
• The blowup of solutions for 3-D axisymmetric compressible Euler equations
• Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping

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