Results 51 to 60 of about 1,100,393 (352)

Value of first eigenvalue of some minimal hypersurfaces embedded in the unit sphere

AIMS Mathematics, 2023
We prove that the first nonzero eigenvalue of the Laplace-Beltrami operator of equator-like minimal submanifold embedded in the sphere $ S^{n+1} $ is equal to $ n $.
Ibrahim Aldayel
doaj   +1 more source

Spectral inequality and resolvent estimate for the bi-Laplace operator [PDF]

Journal of the European Mathematical Society (Print), 2015
On a compact Riemannian manifold with boundary, we prove a spectral inequality for the bi-Laplace operator in the case of so-called "clamped" boundary conditions , that is, homogeneous Dirichlet and Neumann conditions simultaneously.
J. Rousseau, Luc Robbiano
semanticscholar   +1 more source

A simple and efficient numerical method for the Allen–Cahn equation on effective symmetric triangular meshes

Electronic Research Archive, 2023
In this paper, we propose a novel, simple, efficient, and explicit numerical method for the Allen–Cahn (AC) equation on effective symmetric triangular meshes.
Youngjin Hwang, Seokjun Ham, Chaeyoung Lee, Gyeonggyu Lee , Seungyoon Kang, Junseok Kim   +5 more
doaj   +1 more source

Nano‐Patterned CuO Nanowire Nanogap Hydrogen Gas Sensor with Voids

Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
Sub‐5‐ppb hydrogen (H2) detection and sub‐10‐s response and recovery times are achieved based on nano‐patterned polycrystalline CuO nanowires nanogap gas sensors with voids using electron‐beam lithography and unique annealing processes. Pre‐H2 annealing, void‐generating oxidation, and downscaled nanogap electrodes are key to improving the sensing ...
Muqing Zhao, Ryosuke Nitta, Seiichiro Izawa, Jun‐ichi Yamaura, Yutaka Majima   +4 more
wiley   +1 more source

Conformally Perforated Shellular Metamaterials with Tunable Thermomechanical and Acoustic Properties

Advanced Functional Materials, EarlyView.
This study introduces Conformally Perforated Shellular Metamaterials (CPSMs), which overcome TPMS design limitations by mapping 2D cellular layouts onto 3D surfaces. CPSMs exhibit enhanced elastic stiffness, thermal conductivity, and acoustic performance compared to intact P‐type shellulars, demonstrating their potential as multifunctional ...
Benyamin Shahryari, Armin Mirabolghasemi, Shahin Eskandari, Xin Chen, Jean‐François Deü, Roger Ohayon, Atef Mohany, Alex Kalamkarov, Abdolhamid Akbarzadeh   +8 more
wiley   +1 more source

Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation

Journal of Applied Mathematics, 2012
Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in
Gusein Sh. Guseinov
doaj   +1 more source

Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform

Advances in Mathematical Physics, 2021
In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the ...
Hafte Amsalu Kahsay, Adnan Khan, Sajjad Khan, Kahsay Godifey Wubneh   +3 more
doaj   +1 more source

Quasi‐Periodic Surface Functionalization by Ultra‐Short Pulsed Laser Processing: Unlocking Superior Heat Transfer in Vapor Chambers

Advanced Functional Materials, EarlyView.
Ultra‐short pulsed laser processing (ULSP) enables scalable, open‐air fabrication of self‐organized, quasi‐periodic micro/nanostructures on copper using 100 µm laser beams, orders of magnitude larger than the resulting surface features. Integrated into ultra‐thin, wick‐free vapor chambers, these laser‐functionalized surfaces dramatically enhance ...
Anish Pal, Arani Mukhopadhyay, Graham Kaufman, Suchit Sarin, Jeffrey E. Shield, George Gogos, Craig Zuhlke, Constantine M. Megaridis   +7 more
wiley   +1 more source

Locking Metastable Topological Domains in Nematic Liquid Crystal Pi Cells

Advanced Functional Materials, EarlyView.
Selective photopolymerization in the presence of a controlled voltage defines permanent director walls that lock‐in metastable bend and twist configurations within nematic liquid crystal Pi cells. Q‐tensor simulations corroborate the experiments, demonstrating the topological state stabilization.
Adithya Pradeep, Urban Mur, Junseok Ma, Nathan Spiller, Yihan Jin, Waqas Kamal, Steve J. Elston, Stephen M. Morris   +7 more
wiley   +1 more source

From Spin to Star: Ultrafast Dual‐Gradient Centrifugal Microfluidics for Scalable High‐Throughput and Combinatorial Nanomaterial Synthesis

Advanced Functional Materials, EarlyView.
A dual‐gradient centrifugal microfluidic platform enables ultrafast, high‐throughput screening of nanomaterials in 90 reaction chambers. Through siphon‐based aliquoting and automated gradient generation, the system achieves combinatorial synthesis of silver nanoparticles with diverse morphologies.
Hiep Van Nguyen, Vu Minh Phan, Tae Seok Seo   +2 more
wiley   +1 more source