Global well-posedness for the dissipative system modeling electro-hydrodynamics with large vertical velocity component in critical Besov space

DOI10.3934/dcds.2015.35.555zbMath1304.35585OpenAlexW2323980941MaRDI QIDQ479997

Qiao Liu, Ting Zhang, Ji-Hong Zhao

Publication date: 8 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.555

zbMATH Keywords

Navier-Stokes equationsBesov spacewell-posednessPoisson-Nernst-Planck equationselectro-hydrodynamics

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Initial value problems for second-order parabolic equations (35K15) Motion of charged particles (78A35) PDEs in connection with statistical mechanics (35Q82)

Related Items (10)

Gevrey regularity and existence of Navier-Stokes-Nernst-Planck-Poisson system in critical Besov spaces ⋮ 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 ⋮ Global existence in critical Besov spaces for the coupled chemotaxis-fluid equations ⋮ Regularity criteria for the 3D dissipative system modeling electro-hydrodynamics ⋮ Global existence and temporal decay of large solutions for the Poisson–Nernst–Planck equations in low regularity spaces ⋮ Blowup criteria in terms of pressure for the 3D nonlinear dissipative system modeling electro-diffusion ⋮ Well-posedness and decay for the dissipative system modeling electro-hydrodynamics in negative Besov spaces ⋮ Global existence of large solutions for the generalized Poisson-Nernst-Planck equations ⋮ Partial Regularity of Suitable Weak Solutions of the Navier--Stokes--Planck--Nernst--Poisson Equation

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