Long-time behavior of solution for the compressible Navier-Stokes-Korteweg equations in \(\mathbb{R}^3\)
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Publication:494544
DOI10.1016/j.aml.2015.03.006zbMath1322.35112OpenAlexW1981990594MaRDI QIDQ494544
Yang Zou, Jincheng Gao, Zheng-An Yao
Publication date: 1 September 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2015.03.006
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Compressible fluids and gas dynamics (76N99)
Related Items (12)
Pointwise space-time behavior of a compressible Navier-Stokes-Korteweg system in dimension three ⋮ Asymptotic profiles and convergence rate of the compressible fluid models of Korteweg type ⋮ Large-time behavior of solutions in the critical spaces for the non-isentropic compressible Navier-Stokes equations with capillarity ⋮ Strong solutions for the compressible barotropic fluid model of Korteweg type in the bounded domain ⋮ Lower bound of decay rate for higher-order derivatives of solution to the compressible fluid models of Korteweg type ⋮ The existence of global solutions for the full Navier-Stokes-Korteweg system of van der Waals gas ⋮ Optimal large time behavior of the full compressible Navier-Stokes system in \(\mathbb{R}^3\) ⋮ Optimal large time behavior of the compressible Navier-Stokes-Korteweg system in \(\mathbb{R}^3\) ⋮ Long-time behavior of solutions for full compressible quantum model in \(\mathbb{R}^3\) ⋮ 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 ⋮ Stability of stationary solutions and viscous shock wave in the inflow problem for isentropic Navier-Stokes-Korteweg system
Cites Work
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- On the thermomechanics of interstitial working
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- Solutions for Two-Dimensional System for Materials of Korteweg Type
- On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
- Existence of solutions for compressible fluid models of Korteweg type
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