One of the research direction of Horst Lippmann during his whole scientific career was
devoted to the possibilities to explain complex material behavior by generalized continua …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

For more details about the topologies of the spaces P (Ω) and P/(Ω), see Yosida [1966], Vo-
Khac [1972a, 1972b], Hörmander [1983, Chapters 1–7], Duistermaat & Kolk [2010], and of …

The energy functional of nonlinear plate theory is a curvature functional for surfaces first
proposed on physical grounds by G. Kirchhoff in 1850. We show that it arises as a Γ‐limit of …

This book is based on lectures delivered over the years by the author at the Université Pierre
et Marie Curie, Paris, at the University of Stuttgart, and at City University of Hong Kong. Its …

We derive a hierarchy of plate models from three-dimensional nonlinear elasticity by Γ-
convergence. What distinguishes the different limit models is the scaling of the elastic …

Minimization of the fundamental frequencies of a vibratory system by means of springs with
“negative” stiffness is probably the only way to attain infra-frequency vibration isolation …

In this paper we analyse the interaction of an incompressible Newtonian fluid with a linearly
elastic Koiter shell whosemotion is restricted to transverse displacements. The middle …

Koiter's shell model is derived systematically from nonlinear elasticity theory, and shown to
furnish the leading-order model for small thickness when the bending and stretching …

We investigate how shallow ReLU networks interpolate between known regions. Our
analysis shows that empirical risk minimizers converge to a minimum norm interpolant as …