On the well-posedness of the incompressible flow in porous media

Xu, F.; Liu, Lishan

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Authors

Xu, F.

Liu, Lishan

Date

2016

Type

Journal Article

Metadata

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Citation

Xu, F. and Liu, L. 2016. On the well-posedness of the incompressible flow in porous media. Journal of Nonlinear Science and Applications. 9 (12): pp. 6371-6381.

Source Title

Journal of Nonlinear Science and Applications

ISSN

2008-1898

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/63001

Collection

Curtin Research Publications

Abstract

© 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.