Positive solutions of a boundary value problem with integral boundary conditions
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters $mu^*, lambda ...
Jeff R. L. Webb
doaj
Hierarchically Porous Heteroatom‐co‐Doped Carbons for Enhanced Carbon Dioxide Capture
Polythiophene‐derived N,S‐co‐doped carbons with tailored surface functionalities exhibit enhanced CO₂ adsorption. The efficiency of carbon dioxide (CO2) adsorption in carbonaceous materials is primarily influenced by their microporosity and thermodynamic affinity for CO2.
Choong‐Hee Kim+2 more
wiley +1 more source
Role of boundary conditions in convergence and nonlocality of solutions to stochastic flow problems in bounded domains [PDF]
F. Alejandro Bonilla, John H. Cushman
openalex +1 more source
Approximate controllability of Sobolev type fractional evolution systems with nonlocal conditions
In this paper, we study the approximate controllability of Sobolev-type fractional evolution systems with non-local conditions in Hilbert spaces. Sufficient conditions of approximate controllability of the desired problem are presented by supposing an ...
Jinrong Wang, Michal Feckan, Yong Zhou
semanticscholar +1 more source
A seamless local-nonlocal coupling diffusion model with $H^1$ vanishing nonlocality convergence [PDF]
Based on the development in dealing with nonlocal boundary conditions, we propose a seamless local-nonlocal coupling diffusion model in this paper. In our model, a finite constant interaction horizon is equipped in the nonlocal part and transmission conditions are imposed on a co-dimension one interface.
arxiv
ABSTRACT This attempt examines the heat transfer enhancement from unsteady bioconvective Maxwell nanofluid flow under the incidence of solar radiation influenced by viscous dissipation and chemical reaction through a porous medium. The nanofluid contains silver and titanium alloy hybrid nanoparticles with gyrotactic micro‐organisms in ethylene glycol ...
Bhupendra K. Sharma+4 more
wiley +1 more source
Alexandrov Theorem for nonlocal curvature [PDF]
In this article we obtain a nonlocal version of the Alexandrov Theorem which asserts that the only set with sufficiently smooth boundary and of constant nonlocal mean curvature is an Euclidean ball. We consider a general nonlocal mean curvature given by a radial and monotone kernel and we formulate an easy-to-check condition which is necessary and ...
arxiv
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications [PDF]
Nonlocal operators that have appeared in a variety of physical models satisfy identities and enjoy a range of properties similar to their classical counterparts. In this paper we obtain Helmholtz-Hodge type decompositions for two-point vector fields in three components that have zero nonlocal curls, zero nonlocal divergence, and a third component which
arxiv
On a class of nonclassical hyperbolic equations with nonlocal conditions [PDF]
Abdelfatah Bouziani
openalex +1 more source
A Nonlocal Biharmonic Model with $Γ$-Convergence to Local Model [PDF]
Nonlocal models and their associated theories have been extensively investigated in recent years. Among these, nonlocal versions of the classical Laplace operator have attracted the most attention, while higher-order nonlocal operators have been studied far less.
arxiv