Results 21 to 30 of about 9,177 (234)

A second-order impulsive Cauchy problem

International Journal of Mathematics and Mathematical Sciences, 2002
We study the existence of mild and classical solutions for an abstract second-order impulsive Cauchy problem modeled in the form u¨(t)=A u(t)+f(t,u(t),u˙(t)),t∈(−T0,T1),t≠ti;u(0)=x0,u˙(0)=y0; △u(ti)=Ii1 (u (ti)).
Eduardo Hernández Morales
doaj   +1 more source

Existence and Uniqueness Theorems for the Pfaff Equation with Continuous Coefficients

Современная математика: Фундаментальные направления, 2021
In this paper, the Pfaff equations with continuous coefficients are considered. Analogs of Peano’s existence theorem and Kamke’s theorem on the uniqueness of the solution to the Cauchy problem are established, and a method for the approximate solution of
A. A. Abduganiev, A. A. Azamov, A. O. Begaliev   +2 more
doaj   +1 more source

Sustainable Materials Design With Multi‐Modal Artificial Intelligence

Advanced Science, EarlyView.
Critical mineral scarcity, high embodied carbon, and persistent pollution from materials processing intensify the need for sustainable materials design. This review frames the problem as multi‐objective optimization under heterogeneous, high‐dimensional evidence and highlights multi‐modal AI as an enabling pathway.
Tianyi Xu, Tianshuo Wei, Yan Ge, Bo Peng, Yue Li, Maolin Wang, Peng Wen, Chao Yang, Ye Wei   +8 more
wiley   +1 more source

Global stability of stage-structured single species model on with Beverton–Holt birth function

Applied Mathematics in Science and Engineering
Our article discusses a Cauchy problem of a single species model with stage structure and Beverton–Holt birth function. The global stability of the Cauchy problem is completely surveyed by using the global stability of the corresponding elliptic system ...
Hongtao Zhang, Jingfu Zhao
doaj   +1 more source

Enabling Long Term, Shelf‐Stable Perovskite Solar Cells: Alumina Barriers to Protect Perovskite Devices from Moisture and Oxygen

Advanced Energy Materials, EarlyView.
This study reports a packaging strategy for perovskite photovoltaic devices using atomic layer deposition (ALD) of aluminum oxide. Through optimization of deposition temperature and oxidant chemistry, researchers develop a 50 nm barrier layer with superior water vapor (WVTR) and oxygen transmission rates (OTR).
Melissa A. Davis, Kelly Schutt, Duong Nguyen Minh, Xinwen Zhang, Chenchao Xie, Ross A. Kerner, Tianran Liu, Matthew O. Reese, Laura T. Schelhas, Michael D. Kempe, Axel F. Palmstrom, Joseph M. Luther   +11 more
wiley   +1 more source

A Physics Constrained Machine Learning Pipeline for Young's Modulus Prediction in Multimaterial Hyperelastic Cylinders Guided by Contact Mechanics

Advanced Intelligent Discovery, EarlyView.
A physics‐guided machine learning framework estimates Young's modulus in multilayered multimaterial hyperelastic cylinders using contact mechanics. A semiempirical stiffness law is embedded into a custom neural network, ensuring physically consistent predictions. Validation against experimental and numerical data on C.
Christoforos Rekatsinas, Panagiotis Krokidas, Vasileios Vavourakis, Clara Essmann, George Giannakopoulos   +4 more
wiley   +1 more source

Optimization of 3D‐Printed Structured Packings—Current State and Future Developments

Chemie Ingenieur Technik, EarlyView.
This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke, Sebastian Blauth, Christian Leithäuser, Thomas Grützner   +3 more
wiley   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem

Universal Journal of Mathematics and Applications, 2020
In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
doaj   +1 more source

The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam, Robert Seiringer   +3 more
wiley   +1 more source