engleski

A remark on the derivation of an effective model describing the flow of fluid in a reservoir with small holes

We study the flow of the fluid in a reservoir with several small holes. The velocities on holes (injection and ejection) are prescribed and high. As the size of each holes shrinks to one point, the boundary value degenerates to a Dirac masses concentrated on the boundary. We prove that the solution of the Stokes system, describing the original flow, converges to the very-weak solution of the Stokes system with Dirac measures on the boundary.

Stokes problem, very weak solution, concentrated boundary condition, Dirac measure

nije evidentirano