Results 81 to 90 of about 3,321 (184)

Simulation of Locally Varying Residual Strains in 4D Printing

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Shape memory polymers (SMPs) are a class of materials capable of storing deformation in a programmed shape, which can be recovered when an external trigger, such as temperature, a magnetic field, or similar is applied. In the classical shape memory cycle, programming consists of successive heating, deformation and cooling steps. In combination
Henrik Hembrock   +6 more
wiley   +1 more source

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

open access: yesTransactions 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   +2 more
wiley   +1 more source

Thermo‐Fluid‐Structural Coupling Analysis of Twin‐Screw Compressor Rotors Under Variable Operating Conditions

open access: yesApplied Research, Volume 5, Issue 5, October 2026.
A validated thermo‐fluid‐structural coupling framework reveals that rotor von Mises stress exhibits a non‐monotonic trend with discharge pressure, reaching a minimum at 0.3 MPa (3000 rpm)—identifying a structurally optimal operating point that minimizes mechanical loading and extends fatigue life.
Sen Zhao, Diankui Gao, Bin Zhao
wiley   +1 more source

Structurally Cascaded Physics‐Informed Graph Neural Networks for Mechanotransduction‐Aware Tumor Microenvironment Modeling

open access: yesApplied Research, Volume 5, Issue 5, October 2026.
This study introduces a structurally cascaded physics‐informed graph neural network to model tumor microenvironments accurately. By enforcing a directional dependency from mechanical strain to biochemical secretion, the method eliminates unphysical artifacts and significantly improves predictive accuracy for precision healthcare applications.
Xinyuan Chen   +2 more
wiley   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous   +2 more
wiley   +1 more source

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