Well-posedness for the Navier-Stokes-Nernst-Planck-Poisson system in Triebel-Lizorkin space and Besov space with negative indices |
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Authors: | Chao Deng Jihong Zhao |
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Institution: | Department of Mathematics, Sun Yat-Sen University, Guangzhou, Guangdong 510275, PR China |
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Abstract: | This paper is concerned with the well-posedness of the Navier-Stokes-Nerst-Planck-Poisson system (NSNPP). Let sp=−2+n/p. We prove that the NSNPP has a unique local solution for in a subspace, i.e., Vu1×Vv1×Vv1, of with . We also prove that there exists a unique small global solution for any small initial data with . |
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Keywords: | Navier-Stokes-Nernst-Planck-Poisson system Mild solutions Besov space Triebel-Lizorkin space |
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