Results 41 to 50 of about 45,671 (275)

Biorthogonality condition for creeping motion in annular trenches

International Journal of Mathematics and Mathematical Sciences, 2000
The biorthogonality condition for Stokes flow in annular trenches bounded by horizontal parallel planes and concentric vertical cylinders is derived. This condition, is needed to compute the coefficients of the eigenfunction expansion solution of the ...
Suheil A. Khuri
doaj   +1 more source

Matching the LBO Eigenspace of Non-Rigid Shapes via High Order Statistics

Axioms, 2014
A fundamental tool in shape analysis is the virtual embedding of the Riemannian manifold describing the geometry of a shape into Euclidean space. Several methods have been proposed to embed isometric shapes into flat domains, while preserving the ...
Alon Shtern, Ron Kimmel
doaj   +1 more source

Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type [PDF]

Opuscula Mathematica, 2013
It is shown that any \(\mu \in \mathbb{C}\) is an infinite multiplicity eigenvalue of the Steklov smoothing operator \(S_h\) acting on the space \(L^1_{loc}(\mathbb{R})\).
Serguei I. Iakovlev, Valentina Iakovleva
doaj   +1 more source

On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications

, 2018
This paper is concerned with the intrinsic geometric structures of conductive transmission eigenfunctions. The geometric properties of interior transmission eigenfunctions were first studied in Blåsten, E., Liu, H. (2017).
Huaian Diao, Xinlin Cao, Hongyu Liu
semanticscholar   +1 more source

Accelerating Luminescence in Nanostructures: Exploring the Physical Limits and Impact of Ultrafast Emission in Nanoscale Materials

Advanced Photonics Research, EarlyView.
This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida, Koichi Okamoto, Takuya Matsuda, Hajime Ishihara   +3 more
wiley   +1 more source

The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. I

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this article we investigate a problem with nonlocal boundary conditions which are multipoint perturbations of mixed boundary conditions in the unit square $G$ using the Fourier method. The properties of a generalized transformation operator $R: L_2(G)
Ya.O. Baranetskij, P.I. Kalenyuk, M.I. Kopach, A.V. Solomko   +3 more
doaj   +1 more source

Mathematical Prediction for Geometry‐Mediated Cell 3D In‐Growth on Bone Tissue Engineering Scaffolds

Advanced Science, EarlyView.
This study identifies a fundamental pore size dependent pattern of three dimensional bone marrow derived mesenchymal stem cell (BMSC) infiltration within porous scaffolds, where small pores promote horizontal cellular bridging and large pores facilitate vertical migration.
Xiang Gao, Zhijun Yu, Yu Yan, Jiamin Ding, Wangsiyuan Teng, Chenhe Zhou, Minjun Yao, Wenkan Zhang, Shenzhi Zhao, Fangqian Wang, Zhenxuan Shao, Jinfeng Zhou, Xiaoyong Wu, Chengcheng Yu, Liang Chen, Xiaoqiang Jin   +15 more
wiley   +1 more source

The nonlocal problem for the differential-operator equation of the even order with the involution

Karpatsʹkì Matematičnì Publìkacìï, 2018
In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Ya.O. Baranetskij, P.I. Kalenyuk, L.I. Kolyasa, M.I. Kopach   +3 more
doaj   +1 more source

Eigenfunction rules

, 2021
من المعروف جيدًا أن الوظائف الذاتية يجب أن تكون مستمرة في كل نقطة فضاء من الهيكل الذي يتم توطينها فيه. هذه ليست القاعدة الوحيدة التي يتعين عليهم الوفاء بها. تُستخدم القواعد التي تنطوي على مشتقات الوظيفة الذاتية أيضًا بكميات كبيرة وعلى حدود جميع الأنظمة المادية. الهدف من هذا القسم هو محاولة الوصول إلى صياغة عامة لقواعد الوظيفة الذاتية.
L. Dobrzyński, Housni Al Wahsh, Abdellatif Akjouj, El Houssaine El Boudouti   +3 more
openaire   +1 more source

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source