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Creators/Authors contains: "Li, Linfeng"

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  1. (, Nonlinearity)
    Abstract We derivea prioriestimates for the compressible free boundary Euler equations in the case of a liquid without surface tension. We provide a new weighted functional framework which leads to the improved regularity of the flow map by using the Hardy inequality. One of main ideas is to decompose the initial density function. It is worth mentioning that in our analysis we do not need the higher order wave equation for the density. 
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  2. ; ; (, Discrete and Continuous Dynamical Systems)
    We address the Mach limit problem for the Euler equations in an exterior domain with an analytic boundary. We first prove the existence of tangential analytic vector fields for the exterior domain with constant analyticity radii and introduce an analytic norm in which we distinguish derivatives taken from different directions. Then we prove the uniform boundedness of the solutions in the analytic space on a time interval independent of the Mach number, and Mach limit holds in the analytic norm. The results extend more generally to Gevrey initial data with convergence in a Gevrey norm. 
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  3. ; ; (, Journal of Differential Equations)
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  4. ; ; ; ; ; ; ; ; ; ; et al (, IEEE Antennas and Wireless Propagation Letters)
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