Lower bound of decay rate for higher-order derivatives of solution to the compressible fluid models of Korteweg type
From MaRDI portal
Publication:2190766
DOI10.1007/s00033-020-01330-8zbMath1442.35337OpenAlexW3034552148MaRDI QIDQ2190766
Jincheng Gao, Zeyu Lyu, Zheng-An Yao
Publication date: 22 June 2020
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-020-01330-8
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (3)
Dissipative structure of one-dimensional isothermal compressible fluids of Korteweg type ⋮ Symmetrization and local existence of strong solutions for diffuse interface fluid models ⋮ Blow up of classical solutions to the barotropic compressible fluid models of Korteweg type in bounded domains
Cites Work
- Unnamed Item
- Existence of global weak solution for compressible fluid models of Korteweg type
- Global existence and optimal \(L^2\) decay rate for the strong solutions to the compressible fluid models of Korteweg type
- Decay rates of the compressible Navier-Stokes-Korteweg equations with potential forces
- Long-time behavior of solution for the compressible Navier-Stokes-Korteweg equations in \(\mathbb{R}^3\)
- Strong solutions for the incompressible fluid models of Korteweg type
- Global existence and optimal decay rate of the compressible Navier-Stokes-Korteweg equations with external force
- Strong solutions for a compressible fluid model of Korteweg type
- On the thermomechanics of interstitial working
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- Global solutions of a high dimensional system for Korteweg materials
- Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces
- Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data
- 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
- Existence of a Global Strong Solution and Vanishing Capillarity-Viscosity Limit in One Dimension for the Korteweg System
- Solutions for Two-Dimensional System for Materials of Korteweg Type
- Global classical solutions to the 3D Navier–Stokes–Korteweg equations with small initial energy
- On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
- Vanishing Capillarity Limit of the Compressible Fluid Models of Korteweg Type to the Navier--Stokes Equations
- Existence of solutions for compressible fluid models of Korteweg type
This page was built for publication: Lower bound of decay rate for higher-order derivatives of solution to the compressible fluid models of Korteweg type