Results 61 to 70 of about 127,640 (324)

Existence of steady-state solutions for a class of competing systems with cross-diffusion and self-diffusion

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
We focus on a system of two competing species with cross-diffusion and self-diffusion. By constructing an appropriate auxiliary function, we derive the sufficient conditions such that there are no coexisting steady-state solutions to the model.
Ningning Zhu
doaj   +1 more source

Casimir effect for the scalar field under Robin boundary conditions: A functional integral approach

open access: yes, 2003
In this work we show how to define the action of a scalar field in a such a way that Robin boundary condition is implemented dynamically, i.e., as a consequence of the stationary action principle. We discuss the quantization of that system via functional
Abramowitz M   +19 more
core   +2 more sources

A Tracer Diffusion Study of Diverse Photo‐Ionic Phenomena in Strontium Titanate

open access: yesAdvanced Functional Materials, EarlyView.
Two strong interfacial photo‐ionic effects are demonstrated for the model system SrTiO3 through the application of isotope exchange experiments: UV illumination is found to enhance the oxygen surface exchange coefficient by several orders of magnitude and to depress the surface space‐charge potential substantially.
David M. Schwenkel   +3 more
wiley   +1 more source

Analysis of the diffuse-domain method for solving PDEs in complex geometries

open access: yes, 2015
In recent work, Li et al.\ (Comm.\ Math.\ Sci., 7:81-107, 2009) developed a diffuse-domain method (DDM) for solving partial differential equations in complex, dynamic geometries with Dirichlet, Neumann, and Robin boundary conditions.
Lervåg, Karl Yngve, Lowengrub, John
core   +1 more source

SI‐bioATRP in Mesoporous Silica for Size‐Exclusion Driven Local Polymer Placement

open access: yesAdvanced Functional Materials, EarlyView.
An enzyme‐catalyzed surface‐initiated atom transfer radical polymerization (SI‐bioATRP) of an anionic monomer within mesoporous silica particles, using hemoglobin as a catalyst, allows for controlling the location of the formed polymer via size‐exclusion effects between the nanopores and the biomacromolecules, thereby opening routes to functional ...
Oleksandr Wondra   +8 more
wiley   +1 more source

Rate of convergence of attractors of reaction-diffusion equations with nonlinear boundary conditions

open access: yes, 2020
This paper we study the rate of convergence of the asymptotic dynamics of reaction-diffusion equations with nonlinear Robin boundary conditions. We show how the rate of convergence of the global attractors can be affected by the variation of the ...
Bezerra, Flank David Moraes   +1 more
core  

Waveguide with non-periodically alternating Dirichlet and Robin conditions: homogenization and asymptotics

open access: yes, 2012
We consider a magnetic Schroedinger operator in a planar infinite strip with frequently and non-periodically alternating Dirichlet and Robin boundary conditions.
Borisov, Denis   +2 more
core   +1 more source

Hybrid Microdiscs for Magnetically Induced Non‐Cytotoxic Thermal Actuation and Programmable Biomolecule Delivery

open access: yesAdvanced Functional Materials, EarlyView.
Hybrid magnetic microdiscs with customizable size and composition are engineered through refined photolithography and LbL assembly. Embedded Fe3O4 nanoparticles enable localized, non‐cytotoxic heating, while protein cargos can be incorporated in tunable quantities.
Daniela Iglesias‐Rojas   +13 more
wiley   +1 more source

One-loop analysis with nonlocal boundary conditions

open access: yes, 2019
In the eighties, Schroder studied a quantum mechanical model where the stationary states of Schrodinger's equation obey nonlocal boundary conditions on a circle in the plane.
Di Grezia, Elisabetta   +1 more
core   +1 more source

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