On the Cauchy problem for a model of electro-kinetic fluid

DOI10.1016/j.aml.2011.07.004zbMath1358.76078OpenAlexW1974136303MaRDI QIDQ656688

Yong Zhou, Jishan Fan, Gen Nakamura

Publication date: 13 January 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.07.004

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (5)

Blow-up criteria for the three dimensional nonlinear dissipative system modeling electro-hydrodynamics ⋮ GLOBAL AXISYMMETRIC SOLUTIONS TO THE 3D NAVIER-STOKES-POISSON-NERNST-PLANCK SYSTEM IN THE EXTERIOR OF A CYLINDER ⋮ Regularity criteria for the 3D dissipative system modeling electro-hydrodynamics ⋮ Stability of the nonconstant stationary solution to the damped Poisson–Nernst–Planck–Euler equations ⋮ Blowup criteria in terms of pressure for the 3D nonlinear dissipative system modeling electro-diffusion

Cites Work

• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Well-posedness for the drift-diffusion system in \(L^p\) arising from the semiconductor device simulation
• Nonlinear electrokinetic ejection and entrainment due to polarization at nearly insulated wedges
• Commutator estimates and the euler and navier-stokes equations
• The Debye system: existence and large time behavior of solutions
• Electrochemical Thin Films at and above the Classical Limiting Current

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