On the well-posedness of the incompressible flow in porous media
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Authors
Fuyi Xu
- School of Mathematics Science, Qufu normal University, Qufu, 263516, China.
- School of Science, Shandong University of Technology, Zibo, 255049, China.
Lishan Liu
- School of Mathematics Science, Qufu normal University, Qufu, 263516, China.
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.
Share and Cite
ISRP Style
Fuyi Xu, Lishan Liu, On the well-posedness of the incompressible flow in porous media, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 12, 6371--6381
AMA Style
Xu Fuyi, Liu Lishan, On the well-posedness of the incompressible flow in porous media. J. Nonlinear Sci. Appl. (2016); 9(12):6371--6381
Chicago/Turabian Style
Xu, Fuyi, Liu, Lishan. "On the well-posedness of the incompressible flow in porous media." Journal of Nonlinear Sciences and Applications, 9, no. 12 (2016): 6371--6381
Keywords
- Well-posedness
- blow-up criterion
- particle trajectory mapping
- Fourier localization method
- Besov spaces of weak type.
MSC
References
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