Fractional derivatives for the core losses prediction: State of the art and beyond
B Ducharne, G Sebald - Journal of Magnetism and Magnetic Materials, 2022 - Elsevier
The core losses prediction in laminated magnetic circuits has generated relentless scientific
research efforts. In this domain, the almost forty years old Statistical Theory of Losses (STL) …
research efforts. In this domain, the almost forty years old Statistical Theory of Losses (STL) …
A Hong-Krahn-Szeg\"{o} inequality for mixed local and nonlocal operators
S Biagi, S Dipierro, E Valdinoci, E Vecchi - arXiv preprint arXiv …, 2021 - arxiv.org
Given a bounded open set $\Omega\subseteq {\mathbb {R}}^ n $, we consider the
eigenvalue problem of a nonlinear mixed local/nonlocal operator with vanishing conditions …
eigenvalue problem of a nonlinear mixed local/nonlocal operator with vanishing conditions …
On the mixed local-nonlocal Hénon equation
AM Salort, E Vecchi - Differential and Integral Equations, 2022 - projecteuclid.org
ON THE MIXED LOCAL–NONLOCAL HÉNON EQUATION 1. Introduction Given β ∈ [0,1], a
fractional parameter s ∈ (0,1) and p > Page 1 Differential and Integral Equations Volume 35 …
fractional parameter s ∈ (0,1) and p > Page 1 Differential and Integral Equations Volume 35 …
Stability results for backward nonlinear diffusion equations with temporal coupling operator of local and nonlocal type
In this paper, we investigate the problem of reconstructing the historical distribution for a
nonlinear diffusion equation, in which the diffusion is driven by not only a nonlocal operator …
nonlinear diffusion equation, in which the diffusion is driven by not only a nonlocal operator …
On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals
We develop general heterogeneous nonlocal diffusion models and investigate their
connection to local diffusion models by taking a singular limit of focusing kernels. We reveal …
connection to local diffusion models by taking a singular limit of focusing kernels. We reveal …
Local and nonlocal energy-based coupling models
In this paper we study two different ways of coupling a local operator with a nonlocal one so
that the resulting equation is related to an energy functional. In the first strategy the coupling …
that the resulting equation is related to an energy functional. In the first strategy the coupling …
Splitting methods and numerical approximations for a coupled local/nonlocal diffusion model
In this paper, we study a splitting approach and a numerical method to approximate
solutions to an evolution problem that couples local and nonlocal diffusion operators. The …
solutions to an evolution problem that couples local and nonlocal diffusion operators. The …
Fractional filter method for recovering the historical distribution for diffusion equations with coupling operator of local and nonlocal type
The purpose of this paper is to investigate the problem of recovering the historical
distribution for diffusion equations in which the diffusion operators are described by the …
distribution for diffusion equations in which the diffusion operators are described by the …
Coupling local and nonlocal equations with Neumann boundary conditions
We introduce two different ways of coupling local and nonlocal equations with Neumann
boundary conditions in such a way that the resulting model is naturally associated with an …
boundary conditions in such a way that the resulting model is naturally associated with an …
Coupled local/nonlocal models in thin domains
In this paper, we analyze a model composed by coupled local and nonlocal diffusion
equations acting in different subdomains. We consider the limit case when one of the …
equations acting in different subdomains. We consider the limit case when one of the …