Biological Approaches to Rational Drug Design

Volume I provides a comprehensive account of the mathematical study & self-contained analysis of vibration & damping in systems governed by partial differential equations. It presents partial differential equations techniques for the mathematical study of this subject. A special objective of establishing the stability theory to treat many distributed vibration models containing damping is discussed. The book presents the theory & methods of functional analysis, energy identities, & strongly continuous & holomorphic semigroups. Many mechanical designs provide concrete examples of damping devices. Numerical examples also confirm the strong agreements between the theoretical estimates & numerical computations of damping rates of eigenmodes.