Theoretical analysis of thermomechanical response for biological skin tissues. [PDF]
Sci RepIslam N, Das B, Lahiri A.
europepmc +1 more source
Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei +5 more
wiley +1 more source
Simultaneous Numerical Determination of Two Time-dependent Coefficients in Second Order Parabolic Equation With Nonlocal Initial and Boundary Conditions. [PDF]
F1000ResA J Al-Shatrah M, Sabah Hussein M.
europepmc +1 more source
Geophysical Research Letters, Volume 53, Issue 14, 28 July 2026.Abstract We present conjugate observations of ionospheric small‐scale magnetic perturbations (dB) $(dB)$ and GPS scintillations from the Tandem Reconnection and Cusp Electrodynamics Reconnaissance Satellites (TRACERS) and the Canadian High Arctic Ionospheric Network (CHAIN) during a storm‐time substorm on 9 August 2025 in the nightside auroral region ...
Yangyang Shen +12 more
wiley +1 more source
A nonlocal West Nile virus model with nonlocal free boundary conditions driven by both mosquitoes and birds. [PDF]
J Math BiolLong X, Lou Y, Ni W, Yi T.
europepmc +1 more source
Vortex Light Bullets Guided by Disclination Defects
Nanophotonics, Volume 15, Issue 14, 27 July 2026.A new class of stable and thresholdless light bullets carrying vorticity, guided by the disclination defects introduced into Su–Schrieffer–Heeger‐like lattices with a focusing cubic nonlinearity, is reported. Different discrete rotational symmetry of the aperiodic lattice determines the allowed values of the topological charge of the vortex bullets ...
Zhuo Zhang +4 more
wiley +1 more source
On the nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and singular potential: well-posedness, regularity and asymptotic limits [PDF]
We consider a class of nonlocal Cahn-Hilliard equations in a bounded domain $Ω\subset\mathbb{R}^{d}$ $(d\in\{2,3\})$, subject to a nonlocal kinetic rate dependent dynamic boundary condition.
Wu, Hao, Lv, Maoyin
core +1 more source
Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]
J Nonlinear SciCarrillo JA, Esposito A, Mikolás L.
europepmc +1 more source
Third Harmonic Generation in Transparent Longitudinal Epsilon‐Near‐Zero Multilayers
Nanophotonics, Volume 15, Issue 14, 27 July 2026.Transparent longitudinal epsilon‐near‐zero stacks enable field‐enhanced nonlinear light generation while preserving high near‐infrared pump transmission. Broadband third‐harmonic generation is experimentally observed demonstrating that TLENZ architectures can mitigate pump‐loss limitations and offer a promising platform for transparent nonlinear ...
Wallace Jaffray +7 more
wiley +1 more source
Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions. [PDF]
Comput Methods Appl Mech EngWang J +5 more
europepmc +1 more source