Title of article
On the well-posedness of the incompressible flow in porous media
Author/Authors
Xu ، Fuyi - Qufu normal University , Liu ، Lishan - Qufu normal University
Pages
11
From page
6371
To page
6381
Abstract
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.
Keywords
Well , posedness , blow , up criterion , particle trajectory mapping , Fourier localization method , Besov spaces of weak type.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2475706
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