# On the well-posedness of the full low-Mach number limit system in general critical Besov spaces

@article{Danchin2012OnTW, title={On the well-posedness of the full low-Mach number limit system in general critical Besov spaces}, author={Rapha{\"e}l Danchin and Xian Liao}, journal={arXiv: Analysis of PDEs}, year={2012} }

This work is devoted to the well-posedness issue for the low-Mach number limit system obtained from the full compressible Navier-Stokes system, in the whole space. In the case where the initial temperature (or density) is close to a positive constant, we establish the local existence and uniqueness of a solution in critical homogeneous Besov spaces. If, in addition, the initial velocity is small then we show that the solution exists for all positive time. In the fully nonhomogeneous case, we…

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