Results 131 to 140 of about 87,102,086 (248)

Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson, Janne Nurminen, Mikko Salo   +2 more
wiley   +1 more source

Fracture Modeling of Nearly Incompressible Hyperelastic Materials: A Phase‐Field Approach via Simo–Taylor–Pister Three‐Field Variation

International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.
ABSTRACT Incompressibility is commonly observed in the majority of hyperelastic materials, which are fundamental to a wide range of technical applications owing to their distinctive properties, particularly their flexibility, stretchability, and resilience.
Le Zhang, Bin Li, Dong Zhao, Bo Yin, Michael Kaliske   +4 more
wiley   +1 more source

Comparison theorems for weak solutions of nonlinear maximally sub-elliptic PDEs

We establish a comparison principle for viscosity subsolutions and supersolutions of a broad class of second-order quasilinear, maximally subelliptic PDEs on general manifolds. In fact, we prove the comparison theorem for a larger class of degenerate subelliptic PDEs.
openaire   +2 more sources

Toward Knowledge‐Guided AI for Inverse Design in Manufacturing: A Perspective on Domain, Physics, and Human–AI Synergy

Advanced Intelligent Discovery, Volume 2, Issue 5, October 2026.
This perspective highlights how knowledge‐guided artificial intelligence can address key challenges in manufacturing inverse design, including high‐dimensional search spaces, limited data, and process constraints. It focused on three complementary pillars—expert‐guided problem definition, physics‐informed machine learning, and large language model ...
Hugon Lee, Hyeonbin Moon, Junhyeong Lee, Seunghwa Ryu   +3 more
wiley   +1 more source

Nanostructured Deep Eutectic Systems in Healthcare: From Bioactive Solvents to Intelligent Biointerfaces, Wearables, and AI‐Driven Design

Advanced NanoBiomed Research, Volume 6, Issue 10, October 2026.
Beyond the green solvent paradigm, this review redefines Deep Eutectic Systems (DES) as programmable supramolecular nanoassemblies. We survey their biomedical convergence: stabilizing thermolabile mRNA to enable cold chain‐free logistics, reshaping transdermal microneedle delivery, enabling long‐term wearables via eutectogels, and utilizing Generative ...
Jeesu Moon, Min Seo Kim, Jae‐Seung Lee
wiley   +1 more source

UniNS: A Neuro‐Symbolic Framework for Structure‐Regularized Causal Modeling of Catalytic Nanorobot Swarms in Confined Tumor Microenvironments

Applied Research, Volume 5, Issue 5, October 2026.
UniNS is a hybrid neuro‐symbolic framework that simulates nanoscale swarms in tumor microenvironments by coupling mesoscopic hydrodynamics with structure‐regularized causal discovery. It reduces biochemical prediction errors by 27.3% and dynamically prevents spurious correlations, offering a scalable, thermodynamically consistent testbed for precision ...
Xinyuan Chen, Nurdatillah Hasim, Norliana Muslim, Mohd Nizam Husen   +3 more
wiley   +1 more source

Finite Difference Approximation for Linear Stochastic Partial Differential Equations with Method of Lines [PDF]

A stochastic partial differential equation, or SPDE, describes the dynamics of a stochastic process defined on a space-time continuum. This paper provides a new method for solving SPDEs based on the method of lines (MOL).
McDonald, Stuart
core  

Magnetically Controlled Mixed Convection Nanofluid Flow With Slip and Suction: Implications for Thermal System Design

Engineering Reports, Volume 8, Issue 10, October 2026.
This work presents a comprehensive computational investigation of magneto hydrodynamic mixed convection nanofluid flow over a stretching sheet by incorporating the coupled effects of velocity and thermal slip, suction, Brownian motion, thermophoresis, thermal radiation, viscous dissipation, and mixed convection. The study provides new insights into the
Mazhar Hussain, Muhammad Mansoor, Iqra Amer, Muhammad Zohaib Hanif, Mubashir Qayyum, Gilbert Chambashi   +5 more
wiley   +1 more source

Quantum algorithms for viscosity solutions to nonlinear Hamilton-Jacobi equations based on an entropy penalization method. [PDF]

Proc Natl Acad Sci U S A
Jin S, Liu N.
europepmc   +1 more source

A Review of Probabilistic and Novel Approaches to Cost Assessment in CCUS Projects

Greenhouse Gases: Science and Technology, Volume 16, Issue 5, Page 860-880, October 2026.
ABSTRACT Although the renewable energy sector is making progress, there is still a long way to go before green energy can be fully utilized. In this context, Carbon Capture Utilization and Storage (CCUS) technologies can act as a temporary bridge between a high‐emission past and a low‐emission future.
Majid Mohajeri, Saman Azadbakht
wiley   +1 more source