Calculus of Variations and Hyperbolic PDEs in Solid Mechanics
|
Organizer(s): |
Name:
|
Affiliation:
|
Country:
|
Andreas Vikelis
|
University of Vienna
|
Austria
|
Konstantinos Koumatos
|
University of Sussex
|
England
|
Athanasios Tzavaras
|
King Abdullah University of Science and Technology (KAUST)
|
Saudi Arabia
|
|
|
|
|
|
|
|
|
Introduction:
| | The study of dynamic elasticity is a cornerstone of applied mathematics and mechanics, providing fundamental models for materials capable of undergoing large deformations. Such phenomena arise naturally across a broad spectrum of physical, engineering, and biological systems. From a mathematical perspective, these processes are often described by evolutionary PDEs whose structure reflects underlying variational principles and geometric constraints. The interplay between hyperbolic PDEs and the calculus of variations has proven essential for understanding the qualitative behavior of these models. At the same time, increasingly complex material responses and multiscale effects pose new theoretical challenges that call for deeper connections between rigorous analysis and applications. This special session aims to bring together researchers working at this interface between analysis and solid mechanics. It will provide a forum to discuss recent advances in variational methods, hyperbolic PDE theory, and their role in the mathematical foundations of the mechanics of solids. The session brings together leading researchers who contribute both to the dynamical formulation, with applications ranging from elasticity and materials science to biological systems, and to the development of the theoretical and variational tools that make these advances possible.
|
|
|
|
|
|
