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MR1989675 76D03 (35D05 35Q35 76U05 86A05)
Bresch, Didier; Desjardins, Benoît Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Comm. Math. Phys. 238 (2003), no. 1-2, 211–223.
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