Decay rates of the compressible Navier-Stokes-Korteweg equations with potential forces
From MaRDI portal
Publication:479992
DOI10.3934/dcds.2015.35.513zbMath1304.35576OpenAlexW2326808583MaRDI QIDQ479992
Publication date: 8 December 2014
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2015.35.513
global existenceoptimal convergence ratespotential force\(L^p\)-\(L^q\) estimateNavier-Stokes-Korteweg equations
PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) Asymptotic stability in control theory (93D20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Existence and stability of stationary solutions to the compressible Navier-Stokes-Poisson equations, Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type, Pointwise space-time behavior of a compressible Navier-Stokes-Korteweg system in dimension three, Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space, Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier-Stokes-Korteweg equations, Large-time behavior of solutions in the critical spaces for the non-isentropic compressible Navier-Stokes equations with capillarity, Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data, Lower bound of decay rate for higher-order derivatives of solution to the compressible fluid models of Korteweg type, Asymptotic stability of a nonlinear wave for the compressible Navier-Stokes-Korteweg equations in the half space, Stability of viscous shock wave under periodic perturbation for compressible Navier–Stokes–Korteweg system, Global stability of combination of a viscous contact wave with rarefaction waves for the compressible fluid models of Korteweg type, Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids, Blow up of classical solutions to the barotropic compressible fluid models of Korteweg type in bounded domains, Optimal large time behavior of the compressible Navier-Stokes-Korteweg system in \(\mathbb{R}^3\), Long-time behavior of solution for the compressible Navier-Stokes-Korteweg equations in \(\mathbb{R}^3\), A class of global large solutions to the compressible Navier-Stokes-Korteweg system in critical Besov spaces, On the maximal \(L_p-L_q\) regularity for a compressible fluid model of Korteweg type on general domains, Stationary solutions to outflow problem for 1-d compressible fluid models of Korteweg type: existence, stability and convergence rate, Large-time behavior of smooth solutions to the isothermal compressible fluid models of Korteweg type with large initial data, Stability of stationary solutions and viscous shock wave in the inflow problem for isentropic Navier-Stokes-Korteweg system, Stability of the planar rarefaction wave to three-dimensional Navier–Stokes–Korteweg equations of compressible fluids, Large-time behavior of solutions to an inflow problem for the compressible Navier-Stokes-Korteweg equations in the half space, Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity, Global existence and optimal decay rates of solutions for compressible Hall-MHD equations, Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data
Cites Work
- Existence of global weak solution for compressible fluid models of Korteweg type
- Decay of the Navier-Stokes-Poisson equations
- Global existence and optimal decay rate for the strong solutions in \(H^{2}\) to the compressible Navier-Stokes equations
- Global existence and optimal decay rate of the compressible Navier-Stokes-Korteweg equations with external force
- Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
- Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
- Strong solutions for a compressible fluid model of Korteweg type
- Convergence rates for the compressible Navier-Stokes equations with general forces
- On the thermomechanics of interstitial working
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
- Decay estimates for the compressible Navier-Stokes equations in unbounded domains
- The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
- Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
- On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance.
- Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations.
- Global solutions of a high dimensional system for Korteweg materials
- Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
- Optimal decay rates for the compressible fluid models of Korteweg type
- Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system
- Optimal decay rates of the compressible fluid models of Korteweg type
- Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid
- Solutions for Two-Dimensional System for Materials of Korteweg Type
- On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
- 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
- Existence of solutions for compressible fluid models of Korteweg type
- Unnamed Item
- Unnamed Item
- Unnamed Item