Global existence of solutions to 1-d Euler equations with time-dependent damping
From MaRDI portal
Publication:900906
DOI10.1016/j.na.2015.11.022zbMath1328.35155OpenAlexW2193716238MaRDI QIDQ900906
Publication date: 23 December 2015
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2015.11.022
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (39)
Analytical solutions to the compressible Euler equations with time-dependent damping and free boundaries ⋮ Blow up of solutions to 1-d Euler equations with time-dependent damping ⋮ Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping ⋮ Asymptotic behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping ⋮ Classical solutions for 1D compressible Euler equations with over damping ⋮ Singularity formation for the 1D compressible Euler equations with variable damping coefficient ⋮ Convergence rates to the Barenblatt solutions for the compressible Euler equations with time-dependent damping ⋮ Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques ⋮ The time asymptotic expansion for the 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 ⋮ Optimal convergence rate to nonlinear diffusion waves for bipolar Euler–Poisson equations with critical overdamping ⋮ Global solutions for the 1-D compressible Euler equations with time-dependent damping ⋮ The best asymptotic profile of solutions to Euler equations with time‐dependent damping ⋮ Asymptotic stability of nonlinear diffusion waves for the bipolar quantum Euler–Poisson system with time‐dependent damping ⋮ Asymptotic behavior of solutions to the Euler-Korteweg equations with time-dependent damping ⋮ Blow-up for compressible Euler system with space-dependent damping in 1-D ⋮ Global existence and convergence to the modified Barenblatt solution for the compressible Euler equations with physical vacuum and time-dependent 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 ⋮ Convergence to diffusion waves for solutions of Euler equations with time-depending damping on quadrant ⋮ Decay rates of solutions to Euler equations with time-dependent damping ⋮ Convergence to nonlinear diffusion waves for solutions of \(p\)-system with time-dependent damping ⋮ Convergence to nonlinear diffusion waves for solutions of Euler equations with time-depending damping ⋮ $L^1$-Convergence to Generalized Barenblatt Solution for Compressible Euler Equations with Time-Dependent Damping ⋮ Large-time behavior of solutions to unipolar Euler-Poisson equations with time-dependent damping ⋮ Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case ⋮ Remark on global existence of solutions to the 1D compressible Euler equation with time-dependent damping ⋮ Singularity formation for compressible Euler equations with time-dependent damping ⋮ The lifespan of classical solutions to the (damped) compressible Euler equations ⋮ Global and blow-up solutions for compressible Euler equations with time-dependent damping ⋮ Boundary effect on asymptotic behavior of solutions to the \(p\)-system with time-dependent damping ⋮ Finite-time singularity formation for C1 solutions to the compressible Euler equations with time-dependent damping ⋮ \(L^2\)-convergence to nonlinear diffusion waves for Euler equations with time-dependent damping ⋮ Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping ⋮ Optimal decay rates of the compressible Euler equations with time-dependent damping in \(\mathbb{R}^n\). I: Under-damping case ⋮ Global existence and asymptotic behavior of solutions to the Euler equations with time-dependent damping ⋮ On finite-time blowup mechanism of irrotational compressible Euler equations with time-dependent damping ⋮ On global smooth solutions of the 3D spherically symmetric Euler equations with time-dependent damping and physical vacuum ⋮ Vacuum and singularity formation problem for compressible Euler equations with general pressure law and time-dependent damping
Cites Work
- Unnamed Item
- Blow up of solutions to 1-d Euler equations with time-dependent damping
- Wave equations with time-dependent dissipation. I: Non-effective dissipation
- Wave equations with time-dependent dissipation. II: Effective dissipation
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
- \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
- Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum
- Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
- Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations
- \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping
- Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping
- On the diffusion phenomenon of quasilinear hyperbolic waves
This page was built for publication: Global existence of solutions to 1-d Euler equations with time-dependent damping