Weak, classical and intermediate solutions to full von karman system of dynamic nonlinear elasticity


Full on Karman suystem describing nonlinear oscilations in dynamic elasticity is considered. The system is equipped with nonlinear boundary conditions prescribing moments and shears subject to a nonlinear, monotone damping. The main result of the paper is the wellposedness theory (existence and uniqueness) for weak, regular and “intermediate” solutions to this problem. in particular, this paper provides an affirmative asnwer to a long-standing open problem in the literature related to the uniqueness of weak (finite energy) solutions in dynamic nonlinear elasticity. © 1998, Taylor & Francis Group, LLC.

Publication Title

International Journal of Phytoremediation