32 citations · 206 across the 42 of their papers we have counts for
44 papers
The Monge-Ampere system: convex integration with improved regularity in dimension two and arbitrary codimension
Marta Lewicka
We prove a convex integration result for the Monge-Ampere system in dimension and arbitrary codimension . We achieve flexibility up to the Holder regularity $\mathca…
The Monge-Ampere system: convex integration in arbitrary dimension and codimension
Marta Lewicka
In this paper, we study flexibility of weak solutions to the Monge-Ampère system (MA) via convex integration. This new system of Pdes is an extension of the Monge-Ampère equation i…
Geometric mechanics of random kirigami
Gaurav Chaudhary, Lauren Niu, Marta Lewicka +2
The presence of cuts in a thin planar sheet can dramatically alter its mechanical and geometrical response to loading, as the cuts allow the sheet to deform strongly in the third d…
Geometry, Analysis and Morphogenesis: Problems and Prospects
Marta Lewicka, L. Mahadevan
The remarkable range of biological forms in and around us, such as the undulating shape of a leaf or flower in the garden, the coils in our gut, or the folds in our brain, raise a…
Geodesics and isometric immersions in kirigami
Qing Han, Marta Lewicka, L. Mahadevan
Kirigami is the art of cutting paper to make it articulated and deployable, allowing for it to be shaped into complex two and three-dimensional geometries. The mechanical response…
Dimension reduction for thin films prestrained by shallow curvature
Silvia Jimenez Bolanos, Marta Lewicka
We are concerned with the dimension reduction analysis for thin three-dimensional elastic films, prestrained via Riemannian metrics with weak curvatures. For the prestrain inducing…