Results 41 to 50 of about 26,029 (108)

Upper-division student difficulties with Separation of Variables

, 2015
Separation of variables can be a powerful technique for solving many of the partial differential equations that arise in physics contexts. Upper-division physics students encounter this technique in multiple topical areas including electrostatics and ...
Pollock, Steven J., Wilcox, Bethany R.
core   +2 more sources

Unified Asymptotics for Investment Under Illiquidity: Transaction Costs and Search Frictions

Mathematical Finance, EarlyView.
ABSTRACT This paper investigates the optimal investment problem in a market with two types of illiquidity: transaction costs and search frictions. We analyze a power‐utility maximization problem where an investor encounters proportional transaction costs and trades only when a Poisson process triggers trading opportunities.
Tae Ung Gang, Jin Hyuk Choi
wiley   +1 more source

High‐speed railway track geometry robust maintenance with Bayesian deep learning‐enhanced physical‐informed neural networks

Computer-Aided Civil and Infrastructure Engineering, EarlyView.
Abstract Millimeter‐level active control of track geometry irregularity (TGI) is crucial for intelligent maintenance of high‐speed railways. To address the efficiency limitations of existing time‐domain characteristics‐dominated TGI maintenance scheme design methods and vehicle–track coupled dynamics evaluation models, this paper proposes a new ...
Huakun Sun, Yan Gao, Congyang Xu, Wenhao Ding, Fei Yang, Ping Wang, Qing He   +6 more
wiley   +1 more source

Determining properties of human‐induced pluripotent stem cell‐derived cardiomyocytes using spatially resolved electromechanical metrics

The Journal of Physiology, EarlyView.
Abstract figure legend In this study, we use human‐induced pluripotent stem cell‐derived cardiomyocyte (hiPSC‐CM) experiments and computational modelling to identify the mechanism of action of drug compounds. In the hiPSC‐CM experiments, optical measurements of cell collections are recorded in the baseline case and after drug exposure.
Karoline Horgmo Jæger, Verena Charwat, Kevin E. Healy, Samuel Wall, Aslak Tveito   +4 more
wiley   +1 more source

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source

Existence of Hydra Effect in a Three‐Species Food Chain Mathematical Model With General Holling Type Response Functions

Natural Resource Modeling, Volume 38, Issue 4, November 2025.
ABSTRACT This study explores existence of hydra effect and sustainable harvesting strategies in three species food chain system with all‐purpose Holling type response functions (HT‐I, II, III, and IV). The hydra effect (as mentioned in Sieber and Hilker 2012) is superficially ecological paradox which refers to an increase of a species population size ...
Solomon Molla Alemu, Mohammed Yiha Dawed, Tesfaye Tefera Mamo   +2 more
wiley   +1 more source

Programmable DNA‐Based Molecular Neural Network Biocomputing Circuits for Solving Partial Differential Equations

Advanced Science, Volume 12, Issue 33, September 4, 2025.
This research introduces an augmented matrix‐based DNA molecular neural network to achieve molecular‐level solving of biological Brusselator PDEs. Crucial innovations include: (i) an augmented matrix‐based DNA molecular neural network, enabling multidimensional parameter integration through DNA strand displacement cascades and iterative weight ...
Yijun Xiao, Alfonso Rodríguez‐Patón, Jianmin Wang, Pan Zheng, Tongmao Ma, Tao Song   +5 more
wiley   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola   +2 more
wiley   +1 more source

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source

From messianic subjectivity to immaculate objectivity: An etymology

Critical Quarterly, EarlyView.
Nick Groom
wiley   +1 more source