This paper concerns the elastic structures which exhibit non-zero strain at free equilibria. Many growing tissues (leaves, flowers or marine invertebrates) attain complicated configurations duringâ€¦ (More)

We consider systems of reactive Boussinesq equations in two dimensional strips that are not aligned with gravityâ€™s direction. We prove that for any width of such strips and for arbitrary Rayleigh andâ€¦ (More)

We consider the Stokes-Boussinesq equations in a slanted (that is, not aligned with gravityâ€™s direction) cylinder of any dimension and with an arbitrary Rayleigh number. We prove the existence of aâ€¦ (More)

Consider the Cauchy problem for a hyperbolic n Ã— n system of conservation laws in one space dimension: ut + f(u)x = 0, u(0, x) = Å«(x). (CP ) Relying on the existence of a continuous semigroup ofâ€¦ (More)

We discuss the limiting behavior (using the notion of Î“-limit) of the 3d nonlinear elasticity for thin shells around an arbitrary smooth 2d surface. In particular, under the assumption that theâ€¦ (More)

In this paper we study different conditions whose presence is required for A. the admissibility and stability of large shocks present in solutions of a strictly hyperbolic n Ã— n system ofâ€¦ (More)

Using the notion of Î“-convergence, we discuss the limiting behavior of the 3d nonlinear elastic energy for thin elliptic shells, as their thickness h converges to zero, under the assumption that theâ€¦ (More)

The three-dimensional shapes of thin lamina, such as leaves, flowers, feathers, wings, etc., are driven by the differential strain induced by the relative growth. The growth takes place throughâ€¦ (More)

The main analytical ingredients of the first part of this paper are two independent results: a theorem on approximation of W 2,2 solutions of the Monge-AmpÃ¨re equation by smooth solutions, and aâ€¦ (More)