数学年刊第33卷B辑第4期(2012)目次和提要

H~2-Stabilization of the Isothermal Euler Equations:a Lyapunov Function Approach Martin GUGAT Giinter LEUGERING Simona TAMASOIU Ke WANG The authors consider the problem of boundary feedback stabilization of the 1D Euler gas dynamics locally around stationary states and prove the exponential stability with respect to the H~2-norm.To this end,an explicit Lyapunov function as a weighted and squared H~2-norm of a small