Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem |
| |
Authors: | M N Zubova T A Shaposhnikova |
| |
Institution: | 1.Moscow State University,Moscow,Russia |
| |
Abstract: | We study the homogenization problem for the Poisson equation in a periodically perforated domain with a nonlinear boundary
condition for the flux on the cavity boundaries. We show that, under certain relations on the problem scale, the homogenized
equations may have different character of the nonlinearity. In each case considered, we obtain estimates for the convergence
of solutions of the original problem to the solution of the homogenized problem in the corresponding Sobolev spaces. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |