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Changxing Miao, Qionglei Chen, Zhifei Zhang
Communications on Pure and Applied Mathematics,2010,LXIII,(1):1173–1224
2010年05月10日
In this paper, we prove global well-posedness for compressible Navier-Stokesequations in the critical functional framework with the initial data close to astable equilibrium. This result allows us to construct global solutions for thehighly oscillating initial velocity. The proof relies on a new estimate for thehyperbolic/parabolic system with convection terms.
关键词: Global well-posedness,, Compressible Navier-Stokes equations,, Highly oscillating
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【期刊论文】On the well-posedness of the ideal MHD equations in the Triebel-Lizorkin spaces
Qionglei Chen, Changxing Miao , Zhifei Zhang
Arch. Rational Mech. Anal. ,2010,195(1):)561-5
2010年10月01日
In this paper, we prove the local well-posedness for the ideal MHD equations in the Triebel–Lizorkin spaces and obtain a blow-up criterion of smooth solutions. Specifically, we fill a gap in a step of the proof of the local well-posedness part for the incompressible Euler equation in Chae (Comm Pure Appl Math 55:654–678: 2002).
关键词: Triebel–Lizorkin spaces,, particle trajectory mapping,, Lagrangian coordinates
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