Results 41 to 50 of about 14,644 (190)

A new method for numerical inversion of the Laplace transform

, 1998
A formula of Doetsch ({\em Math. Zeitschr.} {\bf 42}, 263 (1937)) is generalized and used to numerically invert the one-sided Laplace transform ${\hat C}(\beta)$. The necessary input is only the values of ${\hat C}(\beta)$ on the positive real axis.
Huepper, Bruno, Pollak, Eli
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Fractional Fokker-Planck Equation for Ultraslow Kinetics

, 2003
Several classes of physical systems exhibit ultraslow diffusion for which the mean squared displacement at long times grows as a power of the logarithm of time ("strong anomaly") and share the interesting property that the probability distribution of ...
A. V Chechkin, Caputo M., Caputo M., Caputo M., Gorenflo R., I. M Sokolov, J Klafter, Mainardi F., Metzler R., Olver F. W. J., Risken H.   +10 more
core   +1 more source

First passage time of N excluded volume particles on a line

, 2005
Motivated by recent single molecule studies of proteins sliding on a DNA molecule, we explore the targeting dynamics of N particles ("proteins") sliding diffusively along a line ("DNA") in search of their target site (specific target sequence).
G. Adam, I. M. Sokolov, Igor M. Sokolov, Kiran Pant, Mark C. Williams, Ralf Metzler, S. A. Rice, S. E. Halford, S. Redner   +8 more
core   +1 more source

Repeating Nuclear Transients From Repeating Partial Tidal Disruption Events

Astronomische Nachrichten, EarlyView.
ABSTRACT Extragalactic nuclear transients that exhibit repeating outbursts can be modeled as the repeated dynamical interaction between bound stars and supermassive black holes (SMBHs). A subset of these transients, with recurrence timescales of months‐to‐years, have been explained as accretion flares from the repeated tidal stripping of a star by an ...
Ananya Bandopadhyay, Eric R. Coughlin, Julia Fancher, C. J. Nixon, Dheeraj R. Pasham   +4 more
wiley   +1 more source

Advancing design strategies in smart stimulus‐responsive liposomes for drug release and nanomedicine

BMEMat, EarlyView.
Schematic illustration of stimulus‐responsive liposomes designed for controlled drug release and nanomedicine. The innermost circle represents different liposomal structures, including unilamellar, multilamellar, and multivesicular liposomes. The middle layer illustrates the responsive phospholipid components.
Yuchen Guo, Nan Li, Daiwei Zhang, Jingya Gu, Zhihuan Liao, Zihao Teng, Xiangfu Du, Peter S. Timashev, Shipeng Chen, Shuaidong Huo   +9 more
wiley   +1 more source

Recent Strategies Toward Durable and Ion‐Tolerant Transition Metal‐Based Electrocatalysts in Seawater Electrolysis

Carbon Energy, EarlyView.
Recent strategies address these challenges through ion‐specific regulation, encompassing chloride‐tolerant and chloride‐regulating anodes together with cathode designs that suppress OH− accumulation and Mg2+/Ca2+ coupling. This ion‐management‐oriented framework provides general guidelines for achieving stable, selective, and scalable seawater ...
Lina Li, Wenda Zhang, Xinti Yu, Ning Han, Zhangxing Chen, Heng Zhao   +5 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

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Highly Efficient and Salt‐Tolerant Broom‐like Bamboo Solar Evaporator: Constructing Multiscale Open Gaps to Enhance Water Transportation and Vapor Diffusion

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
A bamboo fiber aggregation‐based broom‐like evaporator with open interstitial spaces for water transport and vapor diffusion was designed that provided extensive air–liquid interfaces for facilitating fast vapor diffusion and avoiding the formation of high‐humidity zones.
Rilong Yang, Yuying Yang, Qianwen Liu, Qiuhua Feng, Jianyu Wu, Yan Yu   +5 more
wiley   +1 more source