Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles

DOI10.1016/j.jde.2016.09.026zbMath1352.35127OpenAlexW2525885718MaRDI QIDQ338442

Zhong Tan, Chun Liu, Yong Wang

Publication date: 4 November 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.09.026

zbMATH Keywords

well-posednessenergetic variational approachoptimal decayPoisson-Nernst-Planck-Navier-Stokes equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Magnetohydrodynamics and electrohydrodynamics (76W05) Classical and relativistic thermodynamics (80A10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (9)

Stability of the nonconstant stationary solution to the Poisson-Nernst-Planck-Navier-Stokes equations ⋮ Global existence and convergence rates of solutions for the compressible Euler equations with damping ⋮ Green's function and pointwise estimate for a generalized Poisson‐Nernst‐Planck‐Navier‐Stokes model in dimension three ⋮ Quasi-neutral limit and the boundary layer problem of Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics ⋮ Stability of the nonconstant stationary solution to the damped Poisson–Nernst–Planck–Euler equations ⋮ Global existence and long-time behavior of solutions to the full compressible Euler equations with damping and heat conduction in \(\mathbb{R}^3\) ⋮ Optimal decay rates of the solution for generalized Poisson-Nernst-Planck-Navier-Stokes equations in \(\mathbb{R}^3\) ⋮ Optimal \(L^p\)-\(L^q\)-type decay rates of solutions to the three-dimensional nonisentropic compressible Euler equations with relaxation ⋮ Partial Regularity of Suitable Weak Solutions of the Navier--Stokes--Planck--Nernst--Poisson Equation

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