Global gevrey regularity for the benard convection in a porous medium with zero Darcy-Prandtl number

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Ly, H.V.
Titi, E.S.
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[1] Department of Mathematics, University of California, Irvine, CA 92697-3875, United States
[2] Ctr. for Res. in Sci. Computation, Box 8205, North Carolina State University, Raleigh, NC 27695-8205, United States
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We thank Professor Paul Steen for introducing us to this problem and for the interesting and stimulating discussions. This work was partially supported by the NSF Grant No. DMS 9308774. H. V. Ly acknowledges the support of the University of California Regents Dissertation Fellowship. E. S. Titi would like to thank the Isaac Newton Institute at Cambridge; England; and the Institute for Geophysics and Planetary Physics (IGPP); at the Los Alamos National Laboratory; for their kind hospitality while part of this work was completed;
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页码:333 / 362
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