Long time dynamics of Nernst-Planck-Navier-Stokes systems

Journal of Differential Equations - Tập 379 - Trang 794-828 - 2024
Elie Abdo1, Mihaela Ignatova1
1Department of Mathematics, Temple University, Philadelphia, PA 19122, United States of America

Tài liệu tham khảo

Abdo, 2021, Long time dynamics of a model of electroconvection, Trans. Am. Math. Soc., 374, 5849, 10.1090/tran/8394 Abdo, 2021, Long time finite dimensionality in charged fluids, Nonlinearity, 34, 6173, 10.1088/1361-6544/ac13bf Abdo, 2022, On electroconvection in porous media, Indiana Univ. Math. J. Abdo, 2022, On the space analyticity of the Nernst-Planck-Navier-Stokes system, J. Math. Fluid Mech., 24, 51, 10.1007/s00021-022-00665-8 Chemin, 1999, Théormès d'unicité pour le système de Navier-Stokes tridimensionnel, J. Anal. Math., 77, 27, 10.1007/BF02791256 Constantin, 2018, On the Nernst-Planck-Navier-Stokes system, Arch. Ration. Mech. Anal., 232, 1379, 10.1007/s00205-018-01345-6 Constantin, 2021, Nernst-Planck-Navier-Stokes systems far from equilibrium, Arch. Ration. Mech. Anal., 240, 1147, 10.1007/s00205-021-01630-x Constantin, 2022, Nernst-Planck-Navier-Stokes systems near equilibrium, Pure Appl. Funct. Anal., 7, 175 Jasielec, 2021, Electrodiffusion phenomena in neuroscience and the Nernst–Planck–Poisson equations, Electrochem, 2, 197, 10.3390/electrochem2020014 Rubinstein, 2008, Direct observation of a nonequilibrium electro-osmotic instability, Phys. Rev. Lett., 101, 10.1103/PhysRevLett.101.236101 Rubinstein, 2000, Electro-osmotically induced convection at a permselective membrane, Phys. Rev. E, 62, 2238, 10.1103/PhysRevE.62.2238 Ryham Schmuck, 2009, Analysis of the Navier-Stokes-Nernst-Planck-Poisson system, Math. Models Methods Appl., 19, 993, 10.1142/S0218202509003693 Tsurumi, 2019, Well-posedness and ill-posedness of the stationary Navier-Stokes equations in toroidal Besov spaces, Nonlinearity, 32, 3798, 10.1088/1361-6544/ab22d3 Zaltzman, 2007, Electro-osmotic slip and electroconvective instability, J. Fluid Mech., 579, 173, 10.1017/S0022112007004880