Results 31 to 40 of about 4,641 (126)

Characteristics, Bicharacteristics, and Geometric Singularities of Solutions of PDEs

, 2013
Many physical systems are described by partial differential equations (PDEs). Determinism then requires the Cauchy problem to be well-posed. Even when the Cauchy problem is well-posed for generic Cauchy data, there may exist characteristic Cauchy data ...
Vitagliano, Luca
core   +1 more source

Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation

Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2305-2353, December 2025.
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley   +1 more source

Machine Learning for Maximizing the Memristivity of Single and Coupled Quantum Memristors

Advanced Quantum Technologies, Volume 8, Issue 12, December 2025.
Machine learning (ML) methods are proposed to characterize the memristive properties of single and coupled quantum memristors. It is shown that maximizing the memristivity leads to large values in the degree of entanglement of two quantum memristors, unveiling the close relationship between quantum correlations and memory.
Carlos Hernani‐Morales, Gabriel Alvarado, Francisco Albarrán‐Arriagada, Yolanda Vives‐Gilabert, Enrique Solano, José D. Martín‐Guerrero   +5 more
wiley   +1 more source

Partial differential equations from integrable vertex models

, 2014
In this work we propose a mechanism for converting the spectral problem of vertex models transfer matrices into the solution of certain linear partial differential equations.
Baxter R. J., W. Galleas
core   +1 more source

Smart Hydrogel Tactile Sensors and Systems: A Comprehensive Review

SmartSys, Volume 1, Issue 4, December 2025.
ABSTRACT The rise of wearable electronics and intelligent robotics has created an urgent demand for tactile sensors that are soft, biocompatible, and responsive. Hydrogels, with high water content and mechanical compliance such as biological tissues, provide a unique platform for constructing next‐generation tactile sensors that mimic human skin’s ...
Yong Long, Bingqi Zhao, Mengmeng Liu, Weiguo Hu, Xiong Pu   +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

Machine‐learning‐assisted photonic device development: a multiscale approach from theory to characterization

Nanophotonics, Volume 14, Issue 23, Page 3761-3793, 02 November 2025.
Abstract Photonic device development (PDD) has achieved remarkable success in designing and implementing new devices for controlling light across various wavelengths, scales, and applications, including telecommunications, imaging, sensing, and quantum information processing.
Yuheng Chen, Alexander Montes McNeil, Taehyuk Park, Blake A. Wilson, Vaishnavi Iyer, Michael Bezick, Jae‐Ik Choi, Rohan Ojha, Pravin Mahendran, Daksh Kumar Singh, Geetika Chitturi, Peigang Chen, Trang Do, Alexander V. Kildishev, Vladimir M. Shalaev, Michael Moebius, Wenshan Cai, Yongmin Liu, Alexandra Boltasseva   +18 more
wiley   +1 more source

Deformation Quantization in Singular Spaces

, 2003
We present a method of quantizing analytic spaces $X$ immersed in an arbitrary smooth ambient manifold $M$. Remarkably our approach can be applied to singular spaces. We begin by quantizing the cotangent bundle of the manifold $M$. Using a super-manifold
Cesar Maldonado-Mercado, Fedosov Boris V.   +1 more
core   +2 more sources

Repositioning Triazoles as Phosphodiesterase‐4 Inhibitors to Suppress COVID‐19 Cytokine Storms and Fungal Co‐Infections via Docking and Simulation

Journal of Cellular and Molecular Medicine, Volume 29, Issue 21, November 2025.
ABSTRACT Severe COVID‐19 cases are often characterised by a hyperinflammatory cytokine storm, which leads to immune dysregulation and increased mortality. Simultaneously, opportunistic fungal infections such as mucormycosis have been increasingly reported, especially in immunocompromised individuals.
Hailah M. Almohaimeed, Aniruddha Chatterjee, Majedah Ramadan Alaqabawi, Fayez Alsulaimani, Ahmed M. Basri, Ayman Jafer, Abdullah F. Shater, Fayez M. Saleh, Bikram Dhara, Daniel Ejim Uti, Esther Ugo Alum   +10 more
wiley   +1 more source

Glimpse on the relationship between Feynman integral and integrable system [PDF]

, 2004
We briefly review recent attempts to relate the concept of Feynman integral and integrable systems. This constitutes an endeavour on our part in making the Feynman path integral into a mathematically meaningful ...
Abdul Aziz, Zainal
core