Results 31 to 40 of about 1,515 (219)

Parabolic Integrodifferential Equations with Singular Kernels

Journal of Integral Equations and Applications, 1991
The parabolic integrodifferential Volterra equation \((\Delta\) is the Laplacian) \[ u_ t(t,x)=(\Delta+c)\int^ t_ 0k(t-s)u(s,x)ds+k_ 0u(t,x)+f(t,x), \] \(t\in[0,T]\), \(x\in\Omega\subset R^ n\), \(u(0,x)=u_ 0(x)\), is considered. The set \(\Omega\) is assumed to be bounded; \(c\) and \(k_ 0\) are real constants.
openaire   +4 more sources

Enhancing Fatigue Crack Growth Resistance in Heterostructured Aluminum Bimetals by Tailored Interface Design

Advanced Engineering Materials, EarlyView.
Different Al/Al bimetals with a single engineered interface reveal how mechanical mismatch governs fatigue crack growth under cyclic loading. Additionally, loading–unloading–reloading tests link the microyielding behavior to the fatigue crack growth resistance, while crack‐path analysis reveals toughening mechanisms at the interface, highlighting ...
Sebastian Vollath, Philip Manuel Pohl, Heinz Werner Höppel   +2 more
wiley   +1 more source

A Volterra equation with a very singular kernel [PDF]

Proceedings of the American Mathematical Society, 1966
For continuous, or mildly singular kernels, the Volterra equations of second kind can be solved with a Neumann series which converges for the entire complex X plane. The purpose of the present note is to show, by studying a special case, what can happen if the kernel is very singular.
openaire   +2 more sources

Quantifying Subsurface Weak in‐Plane Magnetization of Mixed Phase BiFeO3 by Scanning Nitrogen Vacancy Magnetometry

Advanced Functional Materials, EarlyView.
We use scanning nitrogen vacancy magnetometry to directly image the weak in‐plane magnetic moments in mixed phase BiFeO3 at the nanoscale and quantify the local magnetic moments to be 18.8±2.0 μB/nm2 in the rhombohedral‐like phase and 1.5±0.6 μB/nm2 in the well‐known non‐magnetic tetragonal‐like phase.
Lei Wang, Zhewen Xu, Yuwen Xu, Björn Josteinsson, Simon Josephy, Dawei Zhang, Yunlong Sun, Heung‐Sik Park, Jihun Kim, Kanghyun Chu, Kyung Song, Danyang Wang, Chan‐Ho Yang, Andrea Morales, Jan Seidel   +14 more
wiley   +1 more source

Stacking Fault Complexions in AgSbTe2 Thermoelectrics With Enhanced Electrical Conductivity

Advanced Functional Materials, EarlyView.
Atomic‐scale characterization resolves stacking fault complexion in AgSbTe2, showing Te and Sb segregation along with lattice dilation. Their enhanced effects on phonon scattering are modeled analytically. Although most defects also impede electron transport, local four‐point‐probe measurements reveal higher electrical conductivity at stacking fault ...
Lamya Abdellaoui, Hanna Bishara, Eleonora Isotta, Cynthia Rodenkirchen, Sergei Grazhdannikov, Yuan Yu, Ruben Bueno‐Villoro, Chanwon Jung, G. Jeffrey Snyder, Baptiste Gault, Yaron Amouyal, Oana Cojocaru‐Mirédin, Christina Scheu, Siyuan Zhang   +13 more
wiley   +1 more source

High‐Throughput Digital Decoding of Vascular Heterogeneity in Patient‐Specific Tumor Microenvironments

Advanced Healthcare Materials, EarlyView.
ABSTRACT Quantitative characterization of vascular heterogeneity in complex microphysiological systems (MPS), particularly within patient‐derived tumor microenvironments, remains a major challenge for scalable disease modeling and therapeutic evaluation.
Jungseub Lee, Wooju Park, Sujin Hyung, Sangmin Jung, Kyungho Lee, Junseok Jeon, Noo Li Jeon, Jeeyun Lee, Hye Ryoun Jang, Jihoon Ko   +9 more
wiley   +1 more source

Flexoelectrically Induced Polar Topology in Twisted SrTiO3 Membranes

Advanced Materials, EarlyView.
Twisted SrTiO3 bilayers host polar vortices of flexoelectric origin, revealed through combined experiment and theory. By reconstructing polarization from the toroidal moment of strain gradients, the work establishes a 3D chiral state with broken inversion and mirror symmetries.
Isabel Tenreiro, Hugo Aramberri, Víctor Rouco, Gabriel Sánchez‐Santolino, Mariona Cabero, Fernando Gallego, David Sánchez‐Manzano, José M. González‐Calbet, Federico Mompeán, Mar García‐Hernández, Alberto Rivera‐Calzada, Jorge Íñiguez‐González, Carlos León, Jacobo Santamaría   +13 more
wiley   +1 more source

Semiconservative Systems of Integral Equations with Two Kernels [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
The solvability and the properties of solutions of nonhomogeneous and homogeneous vector integral equation , where K, T are n × n matrix valued functions, n ≥ 1, with nonnegative integrable elements, are considered in one semiconservative (singular) case, where the matrix is stochastic one and the matrix is substochastic one.
Norayr B. Yengibaryan, Ani G. Barseghyan
openaire   +3 more sources

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

Advanced Materials, EarlyView.
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena, J. Terence Blaskovits, Kun‐Han Lin, Denis Andrienko   +3 more
wiley   +1 more source

Singular integral equations with Cauchy kernels [PDF]

Transactions of the American Mathematical Society, 1946
Not ...
openaire   +1 more source