On the well-posedness of the incompressible flow in porous media
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© 2016 International Scientific Research Publications. All rights reserved.In this paper, we are concerned with the two-dimensional (2D) incompressible flow in porous media (IPM) in the whole space. We prove the local well-posedness of the solutions for the system in Besov spaces of weak type and obtain blow-up criterion of solutions by particle trajectory method and Fourier localization method.