Well-posedness for the Navier–Stokes–Nernst–Planck–Poisson system in Triebel–Lizorkin space and Besov space with negative indices

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.11.011 ◽

2011 ◽

Vol 377 (1) ◽

pp. 392-405 ◽

Author(s):

Chao Deng ◽

Jihong Zhao ◽

Shangbin Cui

Keyword(s):

Besov Space ◽

Navier Stokes ◽

Well Posedness ◽

Poisson System ◽

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Global well-posedness for the compressible Navier–Stokes–Poisson system in the framework

Nonlinear Analysis ◽

10.1016/j.na.2012.03.006 ◽

2012 ◽

Vol 75 (10) ◽

pp. 4156-4175 ◽

Author(s):

Xiaoxin Zheng

Keyword(s):

Navier Stokes ◽

Well Posedness ◽

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Well-posedness of the compressible Navier–Stokes–Poisson system in the critical Besov spaces

Journal of Evolution Equations ◽

10.1007/s00028-016-0334-6 ◽

2016 ◽

Vol 17 (2) ◽

pp. 717-747 ◽

Author(s):

Noboru Chikami ◽

Takayoshi Ogawa

Keyword(s):

Besov Spaces ◽

Navier Stokes ◽

Well Posedness ◽

Poisson System ◽

Critical Besov Spaces

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Global well-posedness for the Navier–Stokes–Nernst–Planck–Poisson system in dimension two

Applied Mathematics Letters ◽

10.1016/j.aml.2014.10.002 ◽

2015 ◽

Vol 40 ◽

pp. 102-106 ◽

Author(s):

Zeng Zhang ◽

Zhaoyang Yin

Keyword(s):

Navier Stokes ◽

Well Posedness ◽

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Global well-posedness for the incompressible Navier–Stokes equations in the critical Besov space under the Lagrangian coordinates

Journal of Differential Equations ◽

10.1016/j.jde.2020.10.023 ◽

2021 ◽

Vol 274 ◽

pp. 613-651

Author(s):

Takayoshi Ogawa ◽

Senjo Shimizu

Keyword(s):

Besov Space ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Lagrangian Coordinates ◽

Navier Stokes Equations ◽

Critical Besov Space

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Sobolev space, Besov space and Triebel-Lizorkin space on the Laguerre hypergroup

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2012-190 ◽

2012 ◽

Vol 2012 (1) ◽

Author(s):

Jizheng Huang

Keyword(s):

Sobolev Space ◽

Besov Space ◽

Lizorkin Space ◽

Laguerre Hypergroup

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Stability of stationary solutions for the unipolar isentropic compressible Navier–Stokes–Poisson system

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7474 ◽

2021 ◽

Author(s):

Hakho Hong ◽

Jinsung Kim

Keyword(s):

Stationary Solutions ◽

Navier Stokes ◽

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The stability of stationary solution for outflow problem on the navier-stokes-poisson system

Acta Mathematica Scientia ◽

10.1016/s0252-9602(16)30058-3 ◽

2016 ◽

Vol 36 (4) ◽

pp. 1098-1116 ◽

Author(s):

Mina JIANG ◽

Suhua LAI ◽

Haiyan YIN ◽

Changjiang ZHU

Keyword(s):

Stationary Solution ◽

Navier Stokes ◽

Poisson System ◽

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Optimal decay rate for the compressible Navier–Stokes–Poisson system in the critical L framework

Journal of Differential Equations ◽

10.1016/j.jde.2017.08.041 ◽

2017 ◽

Vol 263 (12) ◽

pp. 8391-8417 ◽

Author(s):

Qunyi Bie ◽

Qiru Wang ◽

Zheng-an Yao

Keyword(s):

Navier Stokes ◽

Poisson System ◽

Optimal Decay ◽

Optimal Decay Rate

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Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2001.0852 ◽

2001 ◽

Vol 359 (1784) ◽

pp. 1449-1468 ◽

Author(s):

J. E. Marsden ◽

S. Shkoller

Keyword(s):

Navier Stokes ◽

Well Posedness ◽

Bounded Domains

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Well-posedness and large deviations for 2D stochastic constrained Navier-Stokes equations driven by Lévy noise in the Marcus canonical form

Journal of Differential Equations ◽

10.1016/j.jde.2021.08.035 ◽

2021 ◽

Vol 302 ◽

pp. 64-138

Author(s):

Utpal Manna ◽

Akash Ashirbad Panda

Keyword(s):

Large Deviations ◽

Canonical Form ◽

Stokes Equations ◽

Navier Stokes ◽

Lévy Noise ◽

Well Posedness ◽

Navier Stokes Equations ◽

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