@article { ISI:000276798500001,
	title = {Shallow water model for lakes with friction and penetration},
	journal = {MATHEMATICAL METHODS IN THE APPLIED SCIENCES},
	volume = {33},
	number = {{6}},
	year = {2010},
	note = {<p>n/a</p>
},
	month = {{APR}},
	pages = {687-703},
	publisher = {{WILEY-BLACKWELL}},
	type = {{Article}},
	address = {{COMMERCE PLACE, 350 MAIN ST, MALDEN 02148, MA USA}},
	abstract = {<p>{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; Sons, Ltd.}</p>
},
	keywords = {flow through the boundary, lake equations, solvability}, Vanishing viscosity, viscous-inviscid interaction, vortex flows, {existence of generalized solutions},
	issn = {{0170-4214}},
	doi = {{10.1002/mma.1185}},
	author = {Chemetov, N. V. and Cipriano, F. and Gavrilyuk, S.}
}
