Results 21 to 30 of about 200,721 (332)
Advanced Engineering Materials, EarlyView., 2023 This study aims to explore the feasibility of using a structure inspired by the features of horsetail and human spine as the potential helmet liner, targeting at mitigation of acceleration‐induced injuries. A parametric study is conducted to investigate the effect of individual geometrical variables in the design, indicating its capability to reduce ...
Bing Leng +3 more
wiley +1 more source
Exponent-critical primitive graphs and the Kronecker product
Electronic Journal of Graph Theory and Applications, 2019 A directed graph is primitive of exponent t if it contains walks of length t between all pairs of vertices, and t is minimal with this property. Moreover, it is exponent-critical if the deletion of any arc results in an imprimitive graph or in a ...
Olga O'Mahony, Rachel Quinlan
doaj +1 more source
Architected Lattices with a Topological Transition
Advanced Engineering Materials, EarlyView., 2023 This article develops topological metamaterials showing multidirectional two‐step deformation under compression by embedding contact‐enabled topological mechanisms into lattice structures. Experiments on 3D‐printed 2D and 3D lattices and finite element simulations are conducted to demonstrate the working principle of the topological metamaterials.
Shivam Agarwal, Lihua Jin
wiley +1 more source
On perturbation theory and critical exponents for self-similar systems
European Physical Journal C: Particles and Fields, 2021 Gravitational critical collapse in the Einstein-axion-dilaton system is known to lead to continuous self-similar solutions characterized by the Choptuik critical exponent $$\gamma $$ γ . We complete the existing literature on the subject by computing the
Ehsan Hatefi, Adrien Kuntz
doaj +1 more source
Normalized solutions for nonlinear Kirchhoff type equations in high dimensions
Electronic Research Archive, 2022 We study the normalized solutions for nonlinear Kirchhoff equation with Sobolev critical exponent in high dimensions $ \mathbb{R}^N(N\geqslant4) $. In particular, in dimension $ N = 4 $, there is a special phenomenon for Kirchhoff equation that the mass ...
Lingzheng Kong, Haibo Chen
doaj +1 more source
Solutions to Kirchhoff equations with critical exponent
Arab Journal of Mathematical Sciences, 2016 In this paper, we study the following problems {Δ2u−M(∫Ω|∇u|2dx)Δu=λf(x,u)+|u|2∗−2uinΩu=Δu=0on∂Ω, where 2∗=2NN−4 is the critical exponent. Under some conditions on M and f, we prove the existence of nontrivial solutions by using variational methods.
El Miloud Hssini +2 more
doaj +1 more source
Lyapunov Exponents and Phase Transitions of Born-Infeld AdS Black Holes [PDF]
, 2023 In this paper, we characterize the phase transitons of Born-Infeld AdS black holes in terms of Lyapunov exponents. We calculate the Lyapunov exponents for both null and timelike geodesics. It is found that black hole phase transitions can be described by multiple-valued Lyapunov exponents.
arxiv +1 more source
Dynamical selection of critical exponents [PDF]
Physical Review E, 2016 v2: Several misprints corrected, appendix on toy model rendered more relevant.
openaire +4 more sources
Inhomogeneous Neumann problem with critical Sobolev exponent
Advances in Nonlinear Analysis, 2012 We investigate the solvability of the inhomogeneous Neumann problem involving the critical Sobolev exponent. In particular, we discuss the impact of the shape of the graph of the coefficient of the critical exponent on the existence of a solution.
Chabrowski Jan
doaj +1 more source
Critical and tricritical exponents of the Gross-Neveu model in the large-$N_f$ limit [PDF]
Phys.Rev. D65 (2002) 085021, 2001 The critical and the tricritical exponents of the Gross-Neveu model are calculated in the large-$N_f$ limit. Our results indicate that these exponents are given by the mean-field values.
arxiv +1 more source