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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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Steady Compressible Euler Equations of Concentration Layers for Hypersonic-limit Flows Passing Three-dimensional Bodies and Generalized Newton-Busemann Pressure Law
for stationary hypersonic-limit Euler flows passing a solid body in three-dimensional space, the shock-front coincides with the upwind surface of the...
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Analytical Blowup Solutions to the Compressible Euler Equations with Time-depending Dam**
In this paper, the analytical blowup solutions of the N-dimensional radial symmetric compressible Euler equations are constructed. Some previous...
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On Classical Solutions of the Compressible Euler Equations for Generalized Chaplygin Gas with Qualitative Analysis
In this paper, exact classical solutions of the original three-dimensional compressible Euler equations for generalized Chaplygin gas are constructed...
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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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Space-time decay rate for 3D compressible Euler equations with dam**
In this paper, we study the space-time decay rate of smooth solutions to the 3D compressible Euler equations with dam**. Based on the temporal...
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A Staggered Scheme for the Compressible Euler Equations on General 3D Meshes
We develop and analyze in this paper a momentum convection operator for variable density flows, and apply it to obtain a finite volume scheme for the...
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Lifespan estimates for the compressible Euler equations with dam** via Orlicz spaces techniques
In this paper, we are interested in the upper bound of the lifespan estimate for the compressible Euler system with time-dependent dam** and small...
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Low Mach number limit of a compressible Euler-Korteweg model
This article deals with the low Mach number limit of the compressible Euler-Korteweg equations. It is justified rigorously that solutions of the...
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Radon Measure Solutions to Riemann Problems for Isentropic Compressible Euler Equations of Polytropic Gases
We solve the Riemann problems for isentropic compressible Euler equations of polytropic gases in the class of Radon measures, and the solutions admit...
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On the inviscid limit of the compressible Navier-Stokes equations near Onsager’s regularity in bounded domains
The viscous dissipation limit of weak solutions is considered for the Navier-Stokes equations of compressible isentropic flows confined in a bounded...
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Well-Balanced Methods for Compressible Euler Equations with Gravitational Force that Preserve Transonic Stationary Solutions
In some previous works, the authors introduced a general methodology to design high-order well-balanced finite-volume methods for one-dimensional...
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Formation of Singularity for Full Compressible Magnetohydrodynamic Equations with Zero Resistivity in Two Dimensional Bounded Domains
We are concerned with singularity formation of strong solutions to the two-dimensional (2D) full compressible magnetohydrodynamic equations with zero...
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Approximations to Isentropic Planar Magneto-Hydrodynamics Equations by Relaxed Euler-Type Systems
In this paper, the authors consider an approximation to the isentropic planar Magneto-hydrodynamics (MHD for short) equations by a kind of relaxed...
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Shock Formation for 2D Isentropic Euler Equations with Self-similar Variables
The author studies the 2D isentropic Euler equations with the ideal gas law. He exhibits a set of smooth initial data that give rise to shock...
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Nonlinear Stability of Rarefaction Waves to the Compressible Navier-Stokes Equations for a Reacting Mixture with Zero Heat Conductivity
In this paper, we study the time-asymptotically nonlinear stability of rarefaction waves for the Cauchy problem of the compressible Navier-Stokes...
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The compressible Euler system with nonlocal pressure: global existence and relaxation
We here investigate a modification of the compressible barotropic Euler system with friction, involving a fuzzy nonlocal pressure term in place of...
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The Derivation of the Compressible Euler Equation from Quantum Many-Body Dynamics
We study the three-dimensional many-particle quantum dynamics in mean-field setting. We forge together the hierarchy method and the modulated energy...
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Nonlinear stability of entropy waves for the Euler equations
In this article, we consider a class of the contact discontinuity for the full compressible Euler equations, namely the entropy wave, where the...
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All-Speed Numerical Methods for the Euler Equations via a Sequential Explicit Time Integration
This paper presents a new strategy to deal with the excessive diffusion that standard finite volume methods for compressible Euler equations display...
