PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
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Rigidity Aspects of Penrose's Singularity Theorem. [PDF]
Commun Math PhysGalloway G, Ling E.
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Stability and Instability of Time‐Domain Boundary Element Methods for the Acoustic Neumann Problem
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT This work presents a stable time‐domain boundary element method for the acoustic wave equation in three‐dimensional unbounded domains. Other formulations of time‐domain boundary element methods based on retarded potential operators are known to exhibit stability issues, which often hinder their use in industrial contexts.
Simon Schneider +4 more
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Activity Detection and Channel Estimation Based on Correlated Hybrid Message Passing for Grant-Free Massive Random Access. [PDF]
Entropy (Basel)Liu X, Gong X, Fu X.
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PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Crystal plasticity simulations offer insights into the anisotropic deformation of polycrystalline materials such as metals and alloys. However, rate‐independent crystal plasticity models encounter the Taylor ambiguity, where the active slip systems and plastic slip magnitudes are not uniquely defined, posing well‐known numerical challenges [1].
Felix Steinmetz, Lisa Scheunemann
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On the solution for a nonlinear wave equation with variable exponent nonlinearity and a varying delay. [PDF]
Sci RepBenguessoum A +3 more
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A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
Stat, Volume 15, Issue 1, March 2026.ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 more
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Globally stable blowup profile for supercritical wave maps in all dimensions. [PDF]
Calc Var Partial Differ EquGlogić I.
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Estimation of Daily Smoking Prevalence for Disaggregated Statistical Areas in Australia
Australian &New Zealand Journal of Statistics, Volume 68, Issue 1, March 2026.ABSTRACT Motivated by the need to estimate prevalence at multiple disaggregated level hierarchies, rather than only one, this study extends widely used area‐level models in Bayesian and frequentist framework. We propose adding additional unstructured random effects at higher level disaggregated domains to the traditional models. Using our extension, we
Sumonkanti Das +4 more
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Ray Transform of Symmetric Tensor Fields on Riemannian Manifolds with Conjugate Points. [PDF]
J Geom AnalHolman S, Krishnan VP.
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