Regularity criteria for a mathematical model for the deformation of electrolyte droplets

DOI10.1016/j.aml.2012.12.003zbMath1426.76701OpenAlexW2046192257MaRDI QIDQ1940692

Gen Nakamura, Jishan Fan, Fu-Cai Li

Publication date: 7 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.aml.2012.12.003

zbMATH Keywords

incompressible Navier-Stokes equationsAllen-Cahn equationregularity criteriaPoisson-Nernst-Planck equationselectrolyte droplets

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Liquid-gas two-phase flows, bubbly flows (76T10)

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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 ⋮ Partial Regularity of Suitable Weak Solutions of the Navier--Stokes--Planck--Nernst--Poisson Equation

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