Results 81 to 90 of about 33,013 (283)

A Computational Study of a [2]Rotaxane Molecular Shuttle with All‐Atoms Molecular Dynamics and Density Functional Theory Simulations in Solution

open access: yesChemPhysChem, EarlyView.
A H‐shaped [2]rotaxane is investigated in CH2Cl2 with all‐atoms molecular dynamics simulations combining quantum theory of atoms in molecules (QTAIM) descriptors with density functional theory (DFT) algorithms. Also, the nature of the chemical interactions modulating the formation of a square planar complex following the coordination of a PtCl2 moiety ...
Costantino Zazza   +3 more
wiley   +1 more source

On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator

open access: yesAbstract and Applied Analysis, 2013
We consider the model of a Caputo -fractional boundary value problem involving -Laplacian operator. By using the Banach contraction mapping principle, we prove that, under some conditions, the suggested model of the Caputo -fractional boundary value ...
Hüseyin Aktuğlu, Mehmet Ali Özarslan
doaj   +1 more source

Analysis of Turbulent Modeling for Free‐Surface Flows Using a Hybrid RANS‐LES Model and Particle‐Based Moving Particle Semi‐Implicit Method

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
A hybrid RANS‐LES turbulence model adapted for the Moving Particle Semi‐implicit method is employed to investigate a turbulent free surface flow. A method based on the cell‐linked list is proposed to speed up the nearest wall search for the turbulence model.
Fabio Kenji Motezuki   +3 more
wiley   +1 more source

Multiplicity solutions for a class of p-Laplacian fractional differential equations via variational methods

open access: yesOpen Mathematics, 2022
While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
doaj   +1 more source

Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications

open access: yes, 2019
In this paper, we propose accurate and efficient finite difference methods to discretize the two- and three-dimensional fractional Laplacian $(-\Delta)^{\frac{\alpha}{2}}$ ($0 < \alpha < 2$) in hypersingular integral form.
Duo, Siwei, Zhang, Yanzhi
core   +1 more source

The second eigenvalue of the fractional p-Laplacian [PDF]

open access: yesAdvances in Calculus of Variations, 2016
AbstractWe consider the eigenvalue problem for the fractional p-Laplacian in an open bounded, possibly disconnected set ${\Omega\subset\mathbb{R}^{n}}$, under homogeneous Dirichlet boundary conditions. After discussing some regularity issues for eigenfunctions, we show that the second eigenvalue ${\lambda_{2}(\Omega)}$ is well-defined, and we ...
BRASCO, Lorenzo, Parini, Enea
openaire   +5 more sources

Mapping Intracellular Volume Fraction With Susceptibility Source Decomposition as a Marker for Tissue Cellularity

open access: yesJournal of Magnetic Resonance Imaging, EarlyView.
ABSTRACT Background Pathophysiological changes affect tissue cell composition and density. For example, neurodegenerative disorders and brain tumors are associated with cell loss and abnormal accumulation, respectively. In these scenarios, if monitored and tracked, tissue cellularity might be used to inform clinical diagnosis and management. Purpose To
Giulia Debiasi   +7 more
wiley   +1 more source

Dynamic boundary conditions with noise for an energy balance model coupled to geophysical flows

open access: yesMathematische Nachrichten, EarlyView.
Abstract This paper investigates a Sellers‐type energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this system is globally strongly well‐posed both in the deterministic setting for arbitrary large data in W2(1−1/p),p$W^{2(1-\nicefrac {1}{p}),p}$ for p∈[2,∞)$p \
Gianmarco Del Sarto   +2 more
wiley   +1 more source

Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity

open access: yesJournal of Function Spaces, 2018
We consider the following fractional p-Laplacian equation: -Δpαu+V(x)up-2u=f(x,u)-Γ(x)uq-2u,  x∈RN, where N≥2, pα⁎>q>p≥2, α∈(0,1), -Δpα is the fractional p-Laplacian, and Γ∈L∞(RN) and Γ(x)≥0 for a.e. x∈RN. f has the subcritical growth but higher than Γ(x)
Huxiao Luo, Shengjun Li, Wenfeng He
doaj   +1 more source

Weyl-type laws for fractional p-eigenvalue problems

open access: yes, 2014
We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.Comment: 10 ...
Iannizzotto, Antonio, Squassina, Marco
core   +1 more source

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