Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Maor, Cy"'
Miura-Ori, a celebrated origami pattern that facilitates functionality in matter, has found multiple applications in the field of mechanical metamaterials. Modifications of Miura-Ori pattern can produce curved configurations during folding, thereby e
Externí odkaz:
http://arxiv.org/abs/2405.07249
Autor:
Kupferman, Raz, Maor, Cy
Motivated by recent interest in elastic problems in which the target space is non-Euclidean, we study a limit where local rest distances within an elastic body are incompatible, yet close to, distances within the ambient space. Specifically, we obtai
Externí odkaz:
http://arxiv.org/abs/2402.08041
Autor:
Rosenblatt, Daniel
We review results of {\v{S}}ver\'{a}k, and Goldstein-Haj{\l}asz-Pakzad on how to show the continuity of functions in a critical Sobolev space with positive Jacobian. In the final chapter we expand on the theory of $VMO$ functions, showing a version o
Externí odkaz:
http://arxiv.org/abs/2401.06253
Publikováno v:
J Geom Anal 34, 214 (2024)
We investigate the geometry of the space of immersed closed curves equipped with reparametrization-invariant Riemannian metrics; the metrics we consider are Sobolev metrics of possible fractional order $q\in [0,\infty)$. We establish the critical Sob
Externí odkaz:
http://arxiv.org/abs/2312.17497
Publikováno v:
Calc. Var. 63, 56 (2024)
We introduce a family of Finsler metrics, called the $L^p$-Fisher-Rao metrics $F_p$, for $p\in (1,\infty)$, which generalizes the classical Fisher-Rao metric $F_2$, both on the space of densities Dens$_+(M)$ and probability densities Prob$(M)$. We th
Externí odkaz:
http://arxiv.org/abs/2306.14533
Publikováno v:
Forum of Mathematics, Sigma. 2024;12:e43
We prove a stability result of isometric immersions of hypersurfaces in Riemannian manifolds, with respect to $L^p$-perturbations of their fundamental forms: For a manifold $M^d$ endowed with a reference metric and a reference shape operator, we show
Externí odkaz:
http://arxiv.org/abs/2306.06654
Autor:
Kupferman, Raz, Maor, Cy
We rigorously derive a strain-gradient model of plasticity as a $\Gamma$-limit of continuum bodies containing finitely-many edge-dislocations (in two dimensions). The key difference from previous such derivations is the elemental notion of a dislocat
Externí odkaz:
http://arxiv.org/abs/2302.02368
Publikováno v:
Journal of the Mechanics and Physics of Solids, 156 (2021), 104579
Geometrically frustrated elastic ribbons exhibit, in many cases, significant changes in configuration depending on the relation between their width and thickness. We show that the existence of such a transition, and the scaling at which it occurs, st
Externí odkaz:
http://arxiv.org/abs/2102.06444
Publikováno v:
Journal of Nonlinear Science (2022) 32:17
We show that two families of equations on the real line, the generalized inviscid Proudman--Johnson equation, and the $r$-Hunter--Saxton equation (recently introduced by Cotter et al.) coincide for a certain range of parameters. This gives a new geom
Externí odkaz:
http://arxiv.org/abs/2101.03601
Publikováno v:
Journal of Functional Analysis, 283(6) (2022), 109575
We consider a prototypical "stretching plus bending" functional of an elastic shell. The shell is modeled as a d-dimensional Riemannian manifold endowed, in addition to the metric, with a reference second fundamental form. The shell is immersed into
Externí odkaz:
http://arxiv.org/abs/2012.12075