Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics

Masahiro Suzuki;

doi:10.3934/krm.2011.4.569

Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics

Kinetic and Related Models ◽

10.3934/krm.2011.4.569 ◽

2011 ◽

Vol 4 (2) ◽

pp. 569-588 ◽

Cited By ~ 18

Author(s):

Masahiro Suzuki ◽

Keyword(s):

Asymptotic Stability ◽

Plasma Physics ◽

Stationary Solutions ◽

Poisson Equations

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Asymptotic stability of stationary solutions to the compressible bipolar Navier-Stokes-Poisson equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4320 ◽

2017 ◽

Vol 40 (12) ◽

pp. 4493-4513 ◽

Cited By ~ 1

Author(s):

Hong Cai ◽

Zhong Tan

Keyword(s):

Asymptotic Stability ◽

Stationary Solutions ◽

Navier Stokes ◽

Poisson Equations

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Asymptotic Stability of Boundary Layers to the Euler–Poisson Equations Arising in Plasma Physics

SIAM Journal on Mathematical Analysis ◽

10.1137/110835657 ◽

2012 ◽

Vol 44 (2) ◽

pp. 761-790 ◽

Cited By ~ 9

Author(s):

Shinya Nishibata ◽

Masashi Ohnawa ◽

Masahiro Suzuki

Keyword(s):

Asymptotic Stability ◽

Plasma Physics ◽

Boundary Layers ◽

Poisson Equations

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Asymptotic stability of stationary solutions for magnetohydrodynamic equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017146 ◽

2017 ◽

Vol 37 (6) ◽

pp. 3435-3465

Author(s):

Zhong Tan ◽

◽

Leilei Tong

Keyword(s):

Asymptotic Stability ◽

Stationary Solutions ◽

Magnetohydrodynamic Equations

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Boundary layer and asymptotic stability for the Navier–Stokes–Poisson equations with nonslip boundary conditions

Communications in Mathematical Sciences ◽

10.4310/cms.2021.v19.n4.a5 ◽

2021 ◽

Vol 19 (4) ◽

pp. 977-991

Author(s):

Yan-Lin Wang

Keyword(s):

Boundary Layer ◽

Asymptotic Stability ◽

Boundary Conditions ◽

Navier Stokes ◽

Poisson Equations

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Asymptotic stability of stationary waves to the Navier–Stokes–Poisson equations in half line

Applicable Analysis ◽

10.1080/00036811.2020.1807006 ◽

2020 ◽

pp. 1-25

Author(s):

Lei Wang ◽

Kaijun Zhang

Keyword(s):

Asymptotic Stability ◽

Half Line ◽

Navier Stokes ◽

Stationary Waves ◽

Poisson Equations

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Asymptotic Stability of Stationary Solutions of a Free Boundary Problem Modeling the Growth of Tumors with Fluid Tissues

SIAM Journal on Mathematical Analysis ◽

10.1137/080726550 ◽

2009 ◽

Vol 41 (1) ◽

pp. 391-414 ◽

Cited By ~ 13

Author(s):

Junde Wu ◽

Shangbin Cui

Keyword(s):

Asymptotic Stability ◽

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Stationary Solutions ◽

Problem Modeling ◽

A Free Boundary Problem

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Multiple stationary solutions of euler-poisson equations for non-isentropic gaseous stars

Acta Mathematica Scientia ◽

10.1016/s0252-9602(10)60192-0 ◽

2010 ◽

Vol 30 (6) ◽

pp. 2077-2088

Author(s):

Deng Yinbin ◽

Xie Huazhao

Keyword(s):

Stationary Solutions ◽

Poisson Equations ◽

Gaseous Stars

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A Note on the Existence of Stationary Solutions of the Compressible Euler-Poisson Equations with

Acta Mathematica Scientia ◽

10.1016/s0252-9602(13)60052-1 ◽

2013 ◽

Vol 33 (4) ◽

pp. 936-942

Author(s):

Jianlin XIANG

Keyword(s):

Stationary Solutions ◽

Poisson Equations ◽

Compressible Euler

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On stationary solutions of the Vlasov-Poisson equations

Differential Equations ◽

10.1134/s0012266110040087 ◽

2010 ◽

Vol 46 (4) ◽

pp. 530-537 ◽

Cited By ~ 5

Author(s):

S. I. Pokhozhaev

Keyword(s):

Stationary Solutions ◽

Poisson Equations

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Asymptotic stability of a boundary layer to the Euler--Poisson equations for a multicomponent plasma

Kinetic and Related Models ◽

10.3934/krm.2016008 ◽

2016 ◽

Vol 9 (3) ◽

pp. 587-603 ◽

Cited By ~ 2

Author(s):

Masahiro Suzuki

Keyword(s):

Boundary Layer ◽

Asymptotic Stability ◽

Multicomponent Plasma ◽

Poisson Equations

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