Results 31 to 40 of about 46,857,055 (316)

Rigidity results for variational infinity ground states [PDF]

Indiana University Mathematics Journal, 2017
We prove two rigidity results for a variational infinity ground state $u$ of an open bounded convex domain $\Omega \subset \mathbb{R}^n$. They state that $u$ coincides with a multiple of the distance from the boundary of $\Omega$ if either $|\nabla u ...
G. Crasta, I. Fragalà
semanticscholar   +1 more source

Growth rate-dependent flexural rigidity of microtubules influences pattern formation in collective motion

Journal of Nanobiotechnology, 2021
Background Microtubules (MTs) are highly dynamic tubular cytoskeleton filaments that are essential for cellular morphology and intracellular transport.
Hang Zhou, Naoto Isozaki, Kazuya Fujimoto, Ryuji Yokokawa   +3 more
doaj   +1 more source

Algorithm for an Effective Ratio of the Transverse Bending Rigidity Based on the Segment Joint Bending Stiffness

Applied Sciences, 2022
An algorithm for calculating the effective ratio of the transverse bending rigidity is established based on the segment longitudinal joint bending stiffness.
Dawei Huang, Hao Jiang, Wenjun Luo, Hao Xiong, Baizan Tang, Jinhui Xu   +5 more
doaj   +1 more source

A Rigidity Result for Overdetermined Elliptic Problems in the Plane [PDF]

Communications on Pure and Applied Mathematics, 2017
Let be a (locally) Lipschitz function and a domain whose boundary is unbounded and connected. If there exists a positive bounded solution to the overdetermined elliptic problem urn:x-wiley:00103640:media:cpa21696:cpa21696-math-0004 we prove that Ω is a half‐plane. In particular, we obtain a partial answer to a question raised by H. Berestycki, L.
Ros, Antonio, Ruiz, David, Sicbaldi, Pieralberto   +2 more
openaire   +2 more sources

Rigidity results in generalized isothermal fluids [PDF]

, 2018
We investigate the long-time behavior of solutions to the isothermal Euler, Korteweg or quantum Navier Stokes equations, as well as generalizations of these equations where the convex pressure law is asymptotically linear near vacuum.
R. Carles, K. Carrapatoso, M. Hillairet
semanticscholar   +1 more source

Some rigidity results on critical metrics for quadratic functionals [PDF]

Calculus of Variations and Partial Differential Equations, 2014
In this paper we prove rigidity results on critical metrics for quadratic curvature functionals, involving the Ricci and the scalar curvature, on the space of Riemannian metrics with unit volume. It is well-known that Einstein metrics are always critical
G. Catino
semanticscholar   +1 more source

Rigidity results for compact biconservative hypersurfaces in space forms [PDF]

Journal of Geometry and Physics
In this paper we present alternative proofs for two known rigidity results concerning non-negatively curved compact biconservative hypersurfaces in space forms.
Ştefan Andronic, Aykut Kayhan
semanticscholar   +1 more source

Rigidity of monodromies for Appell's hypergeometric functions [PDF]

Opuscula Mathematica, 2015
For monodromy representations of holonomic systems, the rigidity can be defined. We examine the rigidity of the monodromy representations for Appell's hypergeometric functions, and get the representations explicitly.
Yoshishige Haraoka, Tatsuya Kikukawa
doaj   +1 more source

Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds [PDF]

, 2015
We prove long time existence and convergence results for the pluriclosed flow, which imply geometric and topological classification theorems for generalized Kähler structures.
J. Streets
semanticscholar   +1 more source

Rigidity through a Projective Lens

Applied Sciences, 2021
In this paper, we offer an overview of a number of results on the static rigidity and infinitesimal rigidity of discrete structures which are embedded in projective geometric reasoning, representations, and transformations.
Anthony Nixon, Bernd Schulze, Walter Whiteley   +2 more
doaj   +1 more source