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Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow
In this paper, we establish some regularity conditions on the density and velocity fields to guarantee the energy conservation of the weak solutions...
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A high-order scheme based on lattice Boltzmann flux solver for viscous compressible flow simulations
In this paper, a high-order scheme based on the lattice Boltzmann flux solver (LBFS) is proposed to simulate viscous compressible flows. The flux...
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Global existence of entropy solutions for euler equations of compressible fluid flow
The main contribution of this paper is to provide a complete proof of the global weak entropy solution existence of the Cauchy problem for the Euler...
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Eigenspectral Analysis of Preconditioners in an Adaptive Compressible Flow Solver
An implicit-in-time discontinuous Galerkin (DG) solver has been developed for compressible flows, which adopts an adaptive time step** strategy...
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Numerical Simulation of Compressible Gas Flow in Flat Channels in the Narrow Channel Approximation
AbstractA compressible gas in plane channels of constant and variable cross sections is numerically simulated using two-dimensional parabolized...
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Point Source-Induced Spherically Symmetric Flow of a Viscous Heat-Conducting Compressible Perfect Gas
AbstractThe solution of the Navier–Stokes equations for a spherically symmetric steady flow of a perfect gas from a point source is presented. The...
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Time decay of solutions for compressible isentropic non-Newtonian fluids
In this paper, we consider the Cauchy problem of a compressible Navier–Stokes system of Eills-type non-Newtonian fluids. We investigate the time...
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The Riemann problem for isentropic compressible Euler equations with discontinuous flux
We consider the singular Riemann problem for the rectilinear isentropic compressible Euler equations with discontinuous flux, more specifically, for...
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The Asymptotic Stability of Phase Separation States for Compressible Immiscible Two-Phase Flow in 3D
This paper is concerned with a diffuse interface model called Navier-Stokes/Cahn-Hilliard system. This model is usually used to describe the motion...
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Global Spherically Symmetric Solutions for a Coupled Compressible Navier–Stokes/Allen–Cahn System
In this paper, we consider the global spherically symmetric solutions for the initial boundary value problem of a coupled compressible...
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Generalized Brinkman Volume Penalization Method for Compressible Flows Around Moving Obstacles
AbstractA Galilean-invariant generalization of the Brinkman volume penalization method (BVPM) for compressible flows, which extends the applicability...
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Compressible fluids interacting with 3D visco-elastic bulk solids
We consider the physical setup of a three-dimensional fluid–structure interaction problem. A viscous compressible gas or liquid interacts with a...
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Non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid
We study the non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid without viscosity. We first show that...
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Gas kinetic flux solver based finite volume weighted essentially non-oscillatory scheme for inviscid compressible flows
A high-order gas kinetic flux solver (GKFS) is presented for simulating inviscid compressible flows. The weighted essentially non-oscillatory (WENO)...
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Incompressible Limit of the Compressible Q-tensor System of Liquid Crystals
We study the connection between the compressible Navier-Stokes equations coupled by the Q-tensor equation for liquid crystals with the incompressible...
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On the study of three-dimensional compressible Navier–Stokes equations
This work is devoted to the study of three-dimensional compressible Navier–Stokes equations on unstructured meshes. The approach used is based on...
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Local Existence of 2D Compressible Current-Vortex Sheets
This survey presents our recent results in Morando et al. 2023, where we establish the local-in-time existence and the nonlinear stability of...
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Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension
We consider the free boundary problem of compressible isentropic neo-Hookean viscoelastic fluid equations with surface tension. Under the physical...
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Bicompact Schemes for Compressible Navier–Stokes Equations
AbstractFor the first time, bicompact schemes have been generalized to nonstationary Navier–Stokes equations for a compressible heat-conducting...
