Global solutions for the 1-D compressible Euler equations with time-dependent damping
DOI10.3934/cpaa.2023125OpenAlexW4389892379MaRDI QIDQ6120947
Publication date: 21 February 2024
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2023125
global existencecompressible Euler equationstime-gradually-degenerate dampinghyperbolic \(p\)-system
PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Systems of nonlinear first-order PDEs (35F50)
Cites Work
- Blow up of solutions to 1-d Euler equations with time-dependent damping
- Convergence to nonlinear diffusion waves for solutions of Euler equations with time-depending damping
- The one-dimensional Darcy's law as the limit of a compressible Euler flow
- Global existence of solutions to 1-d Euler equations with time-dependent damping
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation
- Formation of singularities of spherically symmetric solutions to the 3D compressible Euler equations and Euler-Poisson equations
- Convergence to nonlinear diffusion waves for solutions of \(p\)-system with time-dependent damping
- Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping
- Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
- \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping
- Large-time behavior of solutions to unipolar Euler-Poisson equations with time-dependent damping
- Remark on global existence of solutions to the 1D compressible Euler equation with time-dependent damping
- Global existence and convergence rates of solutions for the compressible Euler equations with damping
- Stability of smooth solutions for the compressible Euler equations with time-dependent damping and one-side physical vacuum
- Optimal convergence rate to nonlinear diffusion waves for Euler equations with critical overdamping
- Global and blow-up solutions for compressible Euler equations with time-dependent damping
- Singularity formation for the 1D compressible Euler equations with variable damping coefficient
- Initial-boundary value problem for p-system with damping in half space
- Asymptotic behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping
- Blow-up for compressible Euler system with space-dependent damping in 1-D
- Best Asymptotic Profile for Hyperbolicp-System with Damping
- Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media
- Singularities of solutions to the compressible Euler equations and Euler-Poisson equations with damping
- Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping
- Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case
- Singularity Formation for the Compressible Euler Equations
- Singularity formation for the compressible Euler equations with general pressure law
- Global well-posedness of the free boundary problem for the compressible Euler equations with damping and gravity
- Vacuum and singularity formation for compressible Euler equations with time-dependent damping
- Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in \({\mathbb {R}}^n\): (II) Overdamping Case
- Decay rate to contact discontinuities for the one-dimensional compressible Euler-Fourier system with a reacting mixture
This page was built for publication: Global solutions for the 1-D compressible Euler equations with time-dependent damping