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Convergence of Compressible Euler-Maxwell Equations to Compressible Euler-Poisson Equations*
Chinese Annals of Mathematics, Series B, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng, Yue-Jun, Wang, Shu
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Convergence of compressible Euler–Poisson equations to incompressible type Euler equations
Asymptotic Analysis, 2005In this paper, we study the convergence of time‐dependent Euler–Poisson equations to incompressible type Euler equations via the quasi‐neutral limit. The local existence of smooth solutions to the limit equations is proved by an iterative scheme.
Peng, Yue-Jun, Wang, Ya-Guang
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2018
Euler derived the fundamental equations of an ideal fluid, that is, in the absence of friction (viscosity). They describe the conservation of momentum. We can derive from it the equation for the evolution of vorticity (Helmholtz equation). Euler’s equations have to be supplemented by the conservation of mass and by an equation of state (which relates ...
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Euler derived the fundamental equations of an ideal fluid, that is, in the absence of friction (viscosity). They describe the conservation of momentum. We can derive from it the equation for the evolution of vorticity (Helmholtz equation). Euler’s equations have to be supplemented by the conservation of mass and by an equation of state (which relates ...
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1992
The Euler equations are an approximation of the Navier-Stokes equations with the viscous forces and the volume forces being neglected. The reason for doing so is a) because viscosity and heat conduction in a gas usually play a role only in a thin layer near solid surfaces, the thickness of which is much smaller than the characteristic length of the ...
Albrecht Eberle +2 more
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The Euler equations are an approximation of the Navier-Stokes equations with the viscous forces and the volume forces being neglected. The reason for doing so is a) because viscosity and heat conduction in a gas usually play a role only in a thin layer near solid surfaces, the thickness of which is much smaller than the characteristic length of the ...
Albrecht Eberle +2 more
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Zeitschrift für angewandte Mathematik und Physik, 1998
This paper presents a transformation of the general time-dependent Euler equations for inviscid fluid flow to an inverse form, using two stream functions and the natural coordinate as independent variables. As a special case, the equations for axisymmetric flow are extended to compressible flow and also transformed to their inverse form.
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This paper presents a transformation of the general time-dependent Euler equations for inviscid fluid flow to an inverse form, using two stream functions and the natural coordinate as independent variables. As a special case, the equations for axisymmetric flow are extended to compressible flow and also transformed to their inverse form.
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2014
This chapter presents Euler equation without and with the presence of a magnetic field. The equation is written in both spherical and cylindrical coordinates, and applied to a stellar envelope. Some examples involving the solar wind are given, and a discussion is presented on the escape velocity from stars.
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This chapter presents Euler equation without and with the presence of a magnetic field. The equation is written in both spherical and cylindrical coordinates, and applied to a stellar envelope. Some examples involving the solar wind are given, and a discussion is presented on the escape velocity from stars.
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2017
Following [36], we shall develop the theory on the real line, although many of the results can be extended to \(\mathbf{R}^{n}\).
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Following [36], we shall develop the theory on the real line, although many of the results can be extended to \(\mathbf{R}^{n}\).
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1984
One of the most important applications of Newtonian mechanics occurs in the study of the motion of a rigid body. To apply Newtonian principles to a system of particles rigidly attached to each other is by no means trivial; and when the mathematization of the problem has been carried out, the differential equations which result are among the most ...
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One of the most important applications of Newtonian mechanics occurs in the study of the motion of a rigid body. To apply Newtonian principles to a system of particles rigidly attached to each other is by no means trivial; and when the mathematization of the problem has been carried out, the differential equations which result are among the most ...
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"Euler Equation Branching" [PDF]
, 2008 Some macroeconomic models exhibit a type of global indeterminacy known as Euler equation branching (e.g., the one-sector growth model with a production externality). The dynamics in such models are governed by a differential inclusion. In this paper, we show that in models with Euler equation branching there are multiple equilibria and that the ...
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