# Beyond Navier–Stokes equations: capillarity of ideal gas

@article{Gorban2017BeyondNE, title={Beyond Navier–Stokes equations: capillarity of ideal gas}, author={Alexander N. Gorban and Iliya V. Karlin}, journal={Contemporary Physics}, year={2017}, volume={58}, pages={70 - 90} }

Abstract The system of Navier–Stokes–Fourier equations is one of the most celebrated systems of equations in modern science. It describes dynamics of fluids in the limit when gradients of density, velocity and temperature are sufficiently small, and loses its applicability when the flux becomes so non-equilibrium that the changes of velocity, density or temperature on the length compatible with the mean free path are non-negligible. The question is: how to model such fluxes? This problem is…

## 15 Citations

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A fully second-order continuum theory of fluids is developed. The conventional balance equations of mass, linear momentum, energy and entropy are used. Constitutive equations are assumed to depend on…

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### Time Decay Estimate with Diffusion Wave Property and Smoothing Effect for Solutions to the Compressible Navier-Stokes-Korteweg System

- MathematicsFunkcialaj Ekvacioj
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Time decay estimate of solutions to the compressible Navier-Stokes-Korteweg system is studied. Concerning the linearized problem, the decay estimate with diffusion wave property for an initial data…

### Global large solutions and optimal time-decay estimates to the Korteweg system

- MathematicsDiscrete & Continuous Dynamical Systems - A
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We prove the global solutions to the Korteweg system without smallness condition imposed on the vertical component of the incompressible part of the velocity. The weighted Chemin-Lerner-norm…

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