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- W4309529135 abstract "This work is concerned with the global existence of large solutions to the three-dimensional dissipative fluid-dynamical model, which is a strongly coupled nonlinear nonlocal system characterized by the incompressible Navier–Stokes–Poisson–Nernst–Planck equations. Making full use of the algebraic structure of the system, we obtain the global existence of solutions without smallness assumptions imposed on the third component of the initial velocity field and the summation of initial densities of charged species. More precisely, we prove that there exist two positive constants c 0 , C 0 such that if the initial data satisfies ( ∥ u 0 h ∥ B _ p , 1 − 1 + 3 p + ∥ N 0 − P 0 ∥ B _ q , 1 − 2 + 3 q ) exp { C 0 ( ∥ u 0 3 ∥ B _ p , 1 − 1 + 3 p 2 + ( ∥ N 0 + P 0 ∥ B _ r , 1 − 2 + 3 r + 1 ) exp { C 0 ∥ u 0 3 ∥ B _ p , 1 − 1 + 3 p } + 1 ) } ≤ c 0 , then the incompressible Navier–Stokes–Poisson–Nernst–Planck equations admits a unique global solution." @default.
- W4309529135 created "2022-11-28" @default.
- W4309529135 creator A5027663239 @default.
- W4309529135 creator A5060002817 @default.
- W4309529135 date "2022-11-21" @default.
- W4309529135 modified "2023-09-27" @default.
- W4309529135 title "Global Existence of Large Solutions for the 3D incompressible Navier--Stokes--Poisson-- Nernst--Planck Equations" @default.
- W4309529135 doi "https://doi.org/10.22541/au.166903577.78133856/v1" @default.
- W4309529135 hasPublicationYear "2022" @default.
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