Continuous Dependence on the Coefficients II

Abstract

AbstractThis chapter is concerned with the study of problems of the form $$\displaystyle \left (\partial _{t,\nu }M_{n}(\partial _{t,\nu })+A\right )U_{n}=F $$ ∂ t , ν M n ( ∂ t , ν ) + A U n = F for a suitable sequence of material laws $$\left (M_{n}\right )_{n}$$ M n n when A ≠ 0. The aim of this chapter will be to provide the conditions required for convergence of the material law sequence to imply the existence of a limit material law M such that the limit U =limn→∞Un exists and satisfies $$\displaystyle \left (\partial _{t,\nu }M(\partial _{t,\nu })+A\right )U=F. $$ ∂ t , ν M ( ∂ t , ν ) + A U = F .