Existence of C1,α Singular Solutions to Euler-Nernst-Planck-Poisson System on R3 with Free-Moving Charges
Abstract
We construct a special C1,α blow up solution to the three dimensional system modeling electro-hydrodynamics, which is strongly coupled with incompressible Euler equation and Nernst-Planck-Poisson equation. Our construction lies on the framework established in Elgindi [11] and relies on a special solution to variant spherical Laplacian.
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