Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions. [PDF]
Wang J +5 more
europepmc +1 more source
Solvability of Some Elliptic Equations with a Nonlocal Boundary Condition [PDF]
Serik Ersultanovich Aitzhanov +2 more
openalex +1 more source
On the Numerical Solution of the Poisson Equation in the Smoothed Particle Hydrodynamics
ABSTRACT In the present work, we address some aspects related to the numerical solution of the Poisson equation within the framework of the Smoothed Particle Hydrodynamics (SPH). In this case, the Poisson equation is solved using nonlocal, kernel‐based discretizations of the differential operators (i.e., gradient, divergence, and Laplacian operators ...
Matteo Antuono +2 more
wiley +1 more source
Quantitative Assessment and Verification of Quantum Neural Network Security Based on Violations of the Bell Inequality. [PDF]
Zhang Y.
europepmc +1 more source
On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension
Abstract It is known that in low dimensions Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations can be rewritten as commuting quasilinear bi‐Hamiltonian systems. We extend some of these results to arbitrary dimension N$N$ and arbitrary scalar product η$\eta$.
S. Opanasenko, R. Vitolo
wiley +1 more source
Trace Mg doping into gallia–alumina generates hole‐type oxygen species that accelerate hydrogen recombination, eliminating the need for Pt promotion. The fully oxide‐based catalyst resists sintering under repeated regeneration, outperforming benchmark PtSn and CrOx catalysts with exceptional stability over 30 dehydrogenation–regeneration cycles ...
DongHwan Oh +8 more
wiley +2 more sources
A nonlocal West Nile virus model with nonlocal free boundary conditions driven by both mosquitoes and birds. [PDF]
Long X, Lou Y, Ni W, Yi T.
europepmc +1 more source
Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources
ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes +3 more
wiley +1 more source
Effects of size and atomic defects on the buckling of single-layer and double-layer graphene nanoplates using AFEM. [PDF]
Aliakbari K, Jafari A, Amiri M.
europepmc +1 more source

