The steady boundary value problem for charged incompressible fluids: PNP/Navier-Stokes systems

DOI10.1016/j.na.2011.08.003zbMath1270.35347OpenAlexW2039300607MaRDI QIDQ642611

Joseph W. Jerome

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.08.003

zbMATH Keywords

hybrid systemsPoisson-Nernst-PlanckNavier-Stokes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (10)

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 ⋮ Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations and applications in electrochemical systems ⋮ Blowup criteria in terms of pressure for the 3D nonlinear dissipative system modeling electro-diffusion ⋮ Global well-posedness for the dissipative system modeling electro-hydrodynamics with large vertical velocity component in critical Besov space ⋮ Well-posedness and decay for the dissipative system modeling electro-hydrodynamics in negative Besov spaces ⋮ Very weak solutions for Poisson-Nernst-Planck system ⋮ Mixed finite element method for modified Poisson-Nernst-Planck/Navier-Stokes equations ⋮ Mixed finite element analysis for the Poisson-Nernst-Planck/Stokes coupling

Cites Work

• Global weak solutions for an incompressible charged fluid with multi-scale couplings: initial-boundary-value problem
• A dual-mixed hybrid formulation for fluid mechanics problems: Mathematical analysis and application to semiconductor process technology
• Elliptic partial differential equations of second order
• Approximation of nonlinear evolution systems
• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• The regularity of the Stokes operator and the Fujita-Kato approach to the Navier-Stokes initial value problem in Lipschitz domains
• A trapping principle and convergence result for finite element approximate solutions of steady reaction/diffusion systems
• Consistency of Semiconductor Modeling: An Existence/Stability Analysis for the Stationary Van Roosbroeck System
• ANALYTICAL APPROACHES TO CHARGE TRANSPORT IN A MOVING MEDIUM
• ANALYSIS OF THE NAVIER–STOKES–NERNST–PLANCK–POISSON SYSTEM
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