Shallow water model for the lake with friction and penetrationстатья
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Дата последнего поиска статьи во внешних источниках: 10 августа 2018 г.
Аннотация: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 Lp-bounded vorticity for any given p∈(1,∞].