<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, N. V.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author><author><style face="normal" font="default" size="100%">Gavrilyuk, S.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Shallow water model for lakes with friction and penetration</style></title><secondary-title><style face="normal" font="default" size="100%">MATHEMATICAL METHODS IN THE APPLIED SCIENCES</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">flow through the boundary</style></keyword><keyword><style  face="normal" font="default" size="100%">lake equations</style></keyword><keyword><style  face="normal" font="default" size="100%">solvability}</style></keyword><keyword><style  face="normal" font="default" size="100%">Vanishing viscosity</style></keyword><keyword><style  face="normal" font="default" size="100%">viscous-inviscid interaction</style></keyword><keyword><style  face="normal" font="default" size="100%">vortex flows</style></keyword><keyword><style  face="normal" font="default" size="100%">{existence of generalized solutions</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{APR}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{6}</style></number><publisher><style face="normal" font="default" size="100%">{WILEY-BLACKWELL}</style></publisher><pub-location><style face="normal" font="default" size="100%">{COMMERCE PLACE, 350 MAIN ST, MALDEN 02148, MA USA}</style></pub-location><volume><style face="normal" font="default" size="100%">33</style></volume><pages><style face="normal" font="default" size="100%">687-703</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{We deduce a shallow water model, describing the motion of the fluid in a lake, assuming inflow-outflow effects across the bottom. This model arises from the asymptotic analysis of the 3D dimensional Navier-Stokes equations. We prove the global in time existence result for this model in a bounded domain taking the nonlinear slip/friction boundary conditions to describe the inflows and outflows of the porous coast and the rivers. The solvability is shown in the class of solutions with L(p)-bounded vorticity for any given p is an element of (1, infinity). Copyright (C) 2009 John Wiley &amp;amp; Sons, Ltd.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
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