ABSTRACT
Shape optimization problems for systems modeled by noncylindrical evolution partial differential equations (PDE) are encountered, for example, in fluid-structure and free boundary issues. Cost functionals involved in such problems are expressed in terms of integrals over the noncylindrical evolution domain and/or its lateral boundary. Following [32], this noncylindrical evolution domain will be called a tube and is of the following form:
Q = ⋃
({t} × Ωt); At t = 0, Ω0 = Ω.
