WebP. Constantin and M. Ignatova, On the Nernst-Planck-Navier-Stokes system, Arch. Ration. Mech. ... M. Winkler, Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops, Comm. Partial Differential Equations, 37 (2012), pp. 319--351. Web30 de ago. de 2024 · Optimal decay rates of the solution for generalized Poisson–Nernst–Planck–Navier–Stokes equations in $${mathbb {R}}^3$$ 设为首页 收藏本站 登录 注册
Optimal decay rates of the solution for generalized …
WebWe consider ionic electrodiffusion in fluids, described by the Nernst-Planck-Navier-Stokes system. We prove that the system has global smooth solutions for arbitrary smooth data in bounded domains with a smooth boundary in three space dimensions, in the following situations. We consider: a arbitrary positive Dirichlet boundary conditions for the ionic … Web29 de jun. de 2024 · We consider ionic electrodiffusion in fluids, described by the Nernst-Planck-Navier-Stokes system in bounded domains, in two dimensions, with Dirichlet boundary conditions for the... strength of materials midterm exam
On the Nernst–Planck–Navier–Stokes system SpringerLink
Web1 de mai. de 2024 · In this paper, the Nernst– Planck–Navier–Stokes (NPNS) system (1)–(5) is considered in the d-dimensional torus Td=[0,2π]dwith periodic boundary conditions. Global existence of weak solutions... WebOn the Nernst–Planck–Navier–Stokes system 1383 with Zi > 0 constants (which may depend on ∗). We choose the notation Zi in analogywithstatisticalmechanics.The Zi arenormalizingconstants.Thefunction ∗(x) is time independent and obeys the semilinear elliptic equation −ε ∗ = ρ∗ (25) with ρ∗ = N i=1 zic ∗ i (26) and with ... WebThe Nernst-Planck-Navier-Stokes system describes the evolution of ions in a Newtonian fluid [10]. Several species of ions, with different valences z i2R diffuse with diffusivities D i>0, and are carried by an incompressible fluid with constant density and with velocity u, and by an electrical field generated by the strength of materials hibbeler