Asymptotic analysis of nonlinear thin layers
Alain Brillard · Birkhäuser Basel eBooks · 1997
We study the asymptotic behaviour, when ε goes to 0, of the solution u ε of a problem coupling a linear second order elliptic equation posed in two domains of ℝ 3 , bonded together by a cylindrical film of thickness 2ε, in which a quasilinear equation is posed. This asymptotic behaviour is obtained by means of epi-convergence arguments. Indeed, we prove that u ε is the solution of a minimization problem. The epi-convergence of the linked functionals is proved building appropriate test-functions and using subdifferential inequalities. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.