Korn's inequalities have played a central role in the development of linear elasticity, not only
in connection with the basic theoretical issues such as existence and uniqueness, but also …

The book provides a comprehensive, detailed and self-contained treatment of the
fundamental mathematical properties of boundary-value problems related to the Navier …

We devise an arbitrary-order locking-free method for linear elasticity. The method relies on a
pure-displacement (primal) formulation and leads to a symmetric, positive definite system …

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 …

This book presents an account of theories of? ow in porous media which have proved
tractable to analysis and computation. In particular, the t-ories of Darcy, Brinkman, and …

Solvability locally in time is proved for a free-boundary problem describing the evolution of a
finite mass of viscous incompressible fluid in,, without taking surface tension into account …

For a bounded domain Ω⊂ R 3 with Lipschitz boundary Γ and some relatively open
Lipschitz subset Γ t≠∅ of Γ, we prove the existence of some c> 0, such that (0.1) c‖ T‖ L 2 …

We present a new stabilized mixed finite element method for the linear elasticity problem in
R 2. The approach is based on the introduction of Galerkin least-squares terms arising from …

Fluid flows around an obstacle generate vortices which, in turn, generate forces on the
obstacle. This phenomenon is studied for planar viscous flows governed by the stationary …

We set up the analytical framework for studying the threshold for the appearance of a lift
force exerted by a viscous steady fluid (the wind) on the deck of a bridge. We model this …