Results 241 to 250 of about 49,267 (256)
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Quasi-neutral limit and the initial layer problem of the drift-diffusion model
Acta Mathematica Scientia, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Shu, Jiang, Limin
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Asymptotic Analysis, 2001
This paper is a continuation of a series of papers in which (quasi‐) hydrodynamic models for plasmas are rigorously derived by means of asymptotic analysis. Here, the quasi‐neutral limit (zero‐Debye‐length limit) in the drift‐diffusion equations is performed in the two cases: weakly ionized plasmas and not weakly ionized plasmas.
Jüngel, Ansgar, Peng, Yue-Jun
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This paper is a continuation of a series of papers in which (quasi‐) hydrodynamic models for plasmas are rigorously derived by means of asymptotic analysis. Here, the quasi‐neutral limit (zero‐Debye‐length limit) in the drift‐diffusion equations is performed in the two cases: weakly ionized plasmas and not weakly ionized plasmas.
Jüngel, Ansgar, Peng, Yue-Jun
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Quasi-neutral limit of the bipolar navier-stokes-poisson system
Acta Mathematica Scientia, 2011Abstract This paper is concerned with the quasi-neutral limit of the bipolar Navier-Stokes-Poisson system. It is rigorously proved, by introducing the new modulated energy functional and using the refined energy analysis, that the strong solutions of the bipolar Navier-Stokes-Poisson system converge to the strong solution of the compressible Navier ...
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The combined non-relativistic and quasi-neutral limit of two-fluid Euler–Maxwell equations
Zeitschrift für angewandte Mathematik und Physik, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yachun, Peng, Yue-Jun, Xi, Shuai
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Quasi-neutral limit of the Navier–Stokes–Fourier–Poisson system for ionic dynamics
Applicable Analysis, 2017AbstractIn this paper, we consider the quasi-neutral limit of the compressible Navier–Stokes–Fourier–Poisson system in a periodic domain with the well-prepared initial data. We prove that the weak solution of the compressible Navier–Stokes–Fourier–Possion system converges to the strong solution of the compressible Navier–Stokes–Fourier system as long ...
Young-Sam Kwon, Fucai Li
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Boundary layers and quasi-neutral limit in steady state Euler–Poisson equations for potential flows
Nonlinearity, 2004Summary: We study the quasi-neutral limit in the steady state Euler-Poisson system for potential flows. Boundary layers occur when the boundary conditions are not in equilibrium. We perform a formal asymptotic expansion of solutions and derive the boundary layer equations. Under the subsonic condition on the boundary and the smallness assumption on the
Peng, Yue-Jun, Wang, Ya-Guang
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Asymptotic preserving schemes in the quasi-neutral limit for the drift-diffusion system
2011We are interested in the drift-diffusion system near quasi-neutrality. For this system, classical explicit schemes are decoupled but subject to severe numerical constraints in the quasi-neutral regime. By constrast, the implicit discretizations are unconditionally stable but non linearly coupled.
Chainais-Hillairet Claire +1 more
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Weak–strong uniqueness and quasi-neutral limit for Euler–Poisson equations
Journal of Mathematical PhysicsIn this paper, we investigate the weak–strong uniqueness and quasi-neutral limit of 3D modified Euler–Poisson equations. Focusing on a weak solution called the dissipative measure-valued solution as the object of study, the global existence is established based on an energy admissibility criterion and by means of relative energy method it is shown that
Qiang Li, Xianwen Zhang
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SIAM Journal on Applied Mathematics, 2010
We consider the two-fluid Euler–Poisson system modeling the expansion of a quasi-neutral plasma in the gap between two electrodes. The plasma is injected from the cathode using boundary conditions which are not at the quasi-neutral equilibrium. This generates a boundary layer at the cathode.
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We consider the two-fluid Euler–Poisson system modeling the expansion of a quasi-neutral plasma in the gap between two electrodes. The plasma is injected from the cathode using boundary conditions which are not at the quasi-neutral equilibrium. This generates a boundary layer at the cathode.
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