Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
Spatiotemporal dynamics of scattering exceptional points. [PDF]
Nat CommunXiao Y, Che Z, Shi L, Wang X, Zhu J.
europepmc +1 more source
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 +2 more
wiley +1 more source
Optimal Thickness Shaped Cantilever Type Vibration Energy Harvester for the Second Eigenfrequency. [PDF]
Micromachines (Basel)Skėrys P, Gaidys R.
europepmc +1 more source
Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems
International Journal of Robust and Nonlinear Control, Volume 36, Issue 16, Page 7450-7463, 10 November 2026.ABSTRACT This article addresses the synthesis of stabilizing control laws for aperiodic sampled‐data Lur'e systems. Based on a hybrid system representation of the closed‐loop system and a timer‐dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two
Arthur Scolari Fagundes +2 more
wiley +1 more source
An Improved Perry-Robertson Theory for Buckling Prediction of Unidirectional-Fiber-Reinforced Composite Insulators. [PDF]
Materials (Basel)Shi Y, Li W, Su X, Zhang L.
europepmc +1 more source
International Journal of Robust and Nonlinear Control, Volume 36, Issue 16, Page 7337-7351, 10 November 2026.ABSTRACT This article proposes a distributed resilient control framework to ensure consensus tracking for nonlinear heterogeneous multi‐agent systems (NHMAS) under aperiodic denial‐of‐service (DoS) attacks. First, a resilient observer is introduced to estimate the leader's state considering that not all agents have direct access to the leader's ...
Li Liu, Bing Yan, Junkang Ni, Peng Shi
wiley +1 more source
Toeplitz-Enhanced Array Covariance Processing for DOA Estimation Under Low SNR and Limited Snapshots. [PDF]
Sensors (Basel)Jin X +6 more
europepmc +1 more source
The Canadian Journal of Chemical Engineering, Volume 104, Issue 11, Page 5854-5874, November 2026.Abstract Hybrid models (HMs) combine fundamental model (FM) equations with empirical components. These models can lead to improved predictions because they reduce process/model mismatch and can account for phenomena that are not considered in the FM equations.
Mouna Y. Harb, Kimberley B. McAuley
wiley +1 more source
Nonlinear seepage mechanical model and bifurcation analysis for fluid-solid coupling in fractured rock mass. [PDF]
Sci RepZhengzheng C +5 more
europepmc +1 more source