This book presents the idea of zero-range potentials and shows the limitations of the point models used in structural mechanics. It also offers specific examples from the theory of generalized functions, regularization of super-singular integral equations and other specifics of the boundary value problems for partial differential operators of the fourth order.
Contents:
- Vibrations of Thin Elastic Plates and Classical Point Models
- Operator Methods in Diffraction
- Generalized Point Models
- Discussions and Recommendations for Future Research
Readership: Graduate students and researchers in mathematical modeling and mechanical engineering.
“… the monograph contains a lot of results and impressive ideas in the field of mathematical hydroelasticity. It will be helpful for researchers and postgraduate students dealing with hydroelastic problems.”
Mathematical Reviews