Positive solutions for nonparametric anisotropic singular solutions [PDF]
We consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation.
Nikolaos S. Papageorgiou +2 more
doaj +1 more source
Chaos and regularity in an anisotropic soft squircle billiard
The data presented in our paper pertaining to the Lyapunov exponents. Additionally, the initial conditions employed for the generation of the respective Poincaré Surface of Sections.
González Andrade, Adán +2 more
openaire +3 more sources
Lagrangian flows for vector fields with anisotropic regularity [PDF]
International audienceWe prove quantitative estimates for flows of vector fields subject to anisotropic regu-larity conditions: some derivatives of some components are (singular integrals of) measures, while the remaining derivatives are (singular ...
Bohun, Anna +2 more
core +1 more source
Structure‐Guided Dynamical Mechanics in Bioinspired Double Twisted Laminated Thin Films
This work explores a dynamic mechanistic study of crack propagation and puncture testing via real‐time monitoring of crack initiation, propagation, and termination through nature‐inspired single and double twisted architectures fabricated from cellulose nanocrystals.
Justin Brackenridge +4 more
wiley +1 more source
Grid cells are crucial in path integration and representation of the external world. The spikes of grid cells spatially form clusters called grid fields, which encode important information about allocentric positions.
Ziyi Gong, Ziyi Gong, Fangwen Yu
doaj +1 more source
Coordinated Architectural and Chemical Reinforcement in the Crushing Mandible of a Soldier Termite
The crushing mandible of a soldier termite withstands substantial biting loads despite lacking mineral. Its cuticle is partitioned: convex teeth pair hardness and zinc enrichment with aligned chitin fibers for contact durability, while stiffer concave regions between teeth carry bending loads.
Andrew Tran Nguyen +16 more
wiley +1 more source
Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres
We prove existence results for distributional solutions of anisotropic nonlinear elliptic systems with a measure valued right-hand side. The functional setting involves anisotropic Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces. In a
Mostafa Bendahmane, Kenneth H. Karlsen
doaj
Bone‐Inspired Recyclable Composites for Damage‐Tolerant Circular Materials
Bone‐inspired architected composites are developed by combining osteon‐like reinforcements with a recyclable Elium thermoplastic matrix. The hierarchical architecture redirects cracks and promotes energy dissipation, while enabling recovery of intact, aligned, load‐bearing reinforcement units that retain their original stiffness, revealing a route ...
Alessandro Stagni +4 more
wiley +1 more source
Tracking Battery Microstructural Degradation Through Directional Thermal Transport Signatures
In lithium‐ion batteries, heat conduction varies between the through‐plane and in‐plane directions because of the cell's layered structure. Therefore, cell degradation influences thermal conductivity in each direction uniquely due to detailed microstructural and compositional changes.
Mohammad Shoghi Tekmedash +6 more
wiley +1 more source
Existence and regularity for critical anisotropic equations with critical directions [PDF]
International audienceWe establish existence and regularity results for doubly critical anisotropic equations in domains of the Euclidean space. In particular, we answer a question posed by Fragala-Gazzola-Kawohl [24] when the maximum of the anisotropic ...
Vétois, Jérôme
core

