The Euler Equations on Thin Domains
نویسندگان
چکیده
For the Euler equations in a thin domain Qε = Ω×(0, ε), Ω a rectangle in R, with initial data in (W (Qε)), q > 3, bounded uniformly in ε, the classical solution is shown to exist on a time interval (0, T (ε)), where T ( ) → +∞ as → 0. We compare this solution with that of a system of limiting equations on Ω.
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تاریخ انتشار 2000