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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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Integral of the Euler Equations for 3D Motion of a Compressible Medium
We consider the classical Euler equations governing the 3D unsteady isothermal motion of an ideal compressible medium in the absence of external mass...
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Gradient-Robust Hybrid DG Discretizations for the Compressible Stokes Equations
This paper studies two hybrid discontinuous Galerkin (HDG) discretizations for the velocity-density formulation of the compressible Stokes equations...
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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...
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On Local Controllability for Compressible Navier-Stokes Equations with Density Dependent Viscosities
In this paper, we study the controllability of compressible Navier-Stokes equations with density dependent viscosities. For when the shear viscosity μ ...
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Scale-Invariant Multi-resolution Alternative WENO Scheme for the Euler Equations
The finite difference multi-resolution alternative weighted essentially non-oscillatory (MR-AWENO) scheme has been designed to solve hyperbolic...
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Global Weak Solutions to the α-Model Regularization for 3D Compressible Euler-Poisson Equations
Global in time weak solutions to the α -model regularization for the three dimensional Euler-Poisson equations are considered in this paper. We prove...
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Generalized Newton-Busemann Law for Two-dimensional Steady Hypersonic-limit Euler Flows Passing Ramps with Skin-frictions
By considering Radon measure solutions for boundary value problems of stationary non-isentropic compressible Euler equations on hypersonic-limit...
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A New Positivity-Preserving Technique for High-Order Schemes to Solve Extreme Problems of Euler Equations on Structured Meshes
In this paper, we propose a new positivity-preserving (new PP) technique for fifth-order finite volume unequal-sized WENO schemes when solving some...
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Weak–strong uniqueness for the isentropic Euler equations with possible vacuum
We establish a weak–strong uniqueness result for the isentropic compressible Euler equations, that is: As long as a sufficiently regular solution...
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Nonlinear Upwind-Biased Free-Stream-Preserving Schemes for Compressible Euler Equations
Concerning the satisfaction of free-stream preservation which reduces errors in the numerical evaluation of grid metrics, the nonlinear central ...
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Global well-posedness for 3D Euler–Maxwell two-fluids system
In this paper, we are concerned with the initial boundary value problem on the partially damped “two fluid” Euler–Maxwell equations in three...
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Euler Equations in Fluid Dynamics: Good and Bad News
We review several recent results concerning the properties of a barotropic Euler system. In particular, the following topics will be addressed:...
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The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions
We construct a fundamental piece of the boundary of the maximal globally hyperbolic development (MGHD) of Cauchy data for the multi-dimensional...
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Global Stability of Multi-wave Configurations for the Compressible Non-isentropic Euler System
This paper is contributed to the structural stability of multi-wave configurations to Cauchy problem for the compressible non-isentropic Euler system...
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L2-convergence to nonlinear diffusion waves for Euler equations with time-dependent dam**
In this paper, we are concerned with the asymptotic behavior of L ∞ weak-entropy solutions to the compressible Euler equations with a vacuum and...
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Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations
In this paper, we are interested in the finite time blow-up behaviors of strong solutions to the compressible Navier-Stokes equations with vacuum as...
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First-Order Positivity-Preserving Entropy Stable Scheme for the 3-D Compressible Navier–Stokes Equations
In this paper, we extend the positivity-preserving, entropy stable first-order scheme developed for the one-dimensional compressible Navier–Stokes...
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Sharp Interface Limit for the One-dimensional Compressible Navier-Stokes/Allen-Cahn System with Composite Waves
This paper is concerned with the sharp interface limit of Cauchy problem for the one-dimensional compressible Navier-Stokes/Allen-Cahn system with a...
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A cell-centered Lagrangian discontinuous Galerkin method using WENO and HWENO limiter for compressible Euler equations in two dimensions
This article introduces a new variant of the cell-centered Lagrangian discontinuous Galerkin method for two-dimensional compressible flow which was...
