Optimal decay rates of isentropic compressible Navier-Stokes equations with discontinuous initial data
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Publication:778203
DOI10.1016/j.jde.2020.06.021zbMath1442.35302OpenAlexW3036494091MaRDI QIDQ778203
Publication date: 2 July 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.06.021
Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
- Unnamed Item
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- Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
- A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework
- On the uniqueness of compressible fluid motions
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
- On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance.
- Global existence in critical spaces for compressible Navier-Stokes equations
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
- Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions
- Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
- Global low-energy weak solutions of the equations of three-dimensional compressible magnetohydrodynamics
- Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
- Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid
- Large time behavior of isentropic compressible Navier-Stokes system in ℝ 3
- Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
- Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
- Global existence of small solutions to a class of nonlinear evolution equations
- Large time behaviour of solutions to the navier-stokes equations
- Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
- L2Decay for the Compressible Navier-Stokes Equations in Unbounded Domains
- Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions
- Decay of Dissipative Equations and Negative Sobolev Spaces
- OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
- CONVERGENCE RATE FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH EXTERNAL FORCE
- Le problème de Cauchy pour les équations différentielles d'un fluide général
- On the existence of globally defined weak solutions to the Navier-Stokes equations