ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
The Interplay Between Non-Instantaneous Dynamics of mRNA and Bounded Extrinsic Stochastic Perturbations for a Self-Enhancing Transcription Factor. [PDF]
Cabriel L +4 more
europepmc +1 more source
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
A unified Haar wavelet collocation framework for fractional volterra integro-differential equations with application to tumor-immune dynamics modeling. [PDF]
Hamood MM, Sharif AA, Ghadle KP.
europepmc +1 more source
Exact Solutions of Linear Multiple Delay Partial Differential Equations
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley +1 more source
Rare Events Statistics for Z d Map Lattices Coupled by Collision. [PDF]
Bahsoun W, Phalempin M.
europepmc +1 more source
ABSTRACT Purpose Patients with cardiac implantable electronic devices (CIEDs) may receive replacement device components over time, resulting in mixed‐manufacturer systems that pose unknown, potentially higher risk under MRI exposure. It is not clear how to efficiently evaluate whether adding a non‐original implantable pulse generator (IPG) changes the ...
Hongbae Jeong +2 more
wiley +1 more source
A Surrogate Model for Stability Assessment of Two‐Layered Cohesive Slopes
ABSTRACT This paper introduces a novel surrogate model for rapid stability evaluation of two‐layered cohesive slopes under undrained conditions. The model eliminates the need for iterative calculations and slip surface searches, allowing for fast and accurate stability assessments without reliance on advanced numerical tools. The formulation is derived
Naloan Coutinho Sampa +1 more
wiley +1 more source
Improving S-Curve Bias Through Joint Compensation of HPA and Filter Distortions. [PDF]
Chen L, Yang Y, Xiong T, Chen L, Liu Y.
europepmc +1 more source
Conditional Generative Modeling for Enhanced Credit Risk Management in Supply Chain Finance
ABSTRACT The rapid expansion of cross‐border e‐commerce (CBEC) has created significant opportunities for small‐ and medium‐sized sellers, yet financing remains a critical challenge due to their limited credit histories. Third‐party logistics (3PL)‐led supply chain finance (SCF) has emerged as a promising solution, leveraging in‐transit inventory as ...
Qingkai Zhang, L. Jeff Hong, Houmin Yan
wiley +1 more source

