1 citations · 1 across the 4 of their papers we have counts for
4 papers
An improved existence theorem for rigid nonlinearly elastic plates
Trung Hieu Giang, Cristinel Mardare
A plate is rigid if its admissible displacement fields inducing vanishing two-dimensional strain tensors must vanish. We prove that the nonlinear model of Kirchhoff-Love for such a…
The equations of elastostatics in a Riemannian manifold
Nastasia Grubic, Philippe G. LeFloch, Cristinel Mardare
To begin with, we identify the equations of elastostatics in a Riemannian manifold, which generalize those of classical elasticity in the three-dimensional Euclidean space. Our app…
Isometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity
Philippe G. LeFloch, Cristinel Mardare, Sorin Mardare
Assuming minimal regularity assumptions on the data, we revisit the classical problem of finding isometric immersions into the Minkowski spacetime for hypersurfaces of a Lorentzian…
Definition and stability of Lorentzian manifolds with distributional curvature
Philippe G. LeFloch, Cristinel Mardare
Following Geroch, Traschen, Mars and Senovilla, we consider Lorentzian manifolds with distributional curvature tensor. Such manifolds represent spacetimes of general relativity tha…