Results 1 to 10 of about 36,870 (121)
Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity [PDF]
Scientific ReportsIn this paper, we have studied the thermodynamical interactions in a two-dimensional thermoelastic diffusion in homogeneous isotropic medium with nonlocal, rotation and double porosity in the context of Green–Lindsay theory. A thermal load was applied to
Doaa M. Salah +2 more
doaj +2 more sources
Fractal and Fractional, 2023 Recent studies have emphasized the importance of the long-distance diffusion model in characterizing tracer transport occurring within both subsurface and surface environments, particularly in heterogeneous systems.
Zhipeng Li +5 more
doaj +1 more source
Path Laplacians versus fractional Laplacians as nonlocal operators on networks
New Journal of Physics, 2021 Here we study and compare nonlocal diffusion processes on networks based on two different kinds of Laplacian operators. We prove that a nonlocal diffusion process on a network based on the path Laplacian operator always converges faster than the standard
Ernesto Estrada
doaj +1 more source
Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
Results in Applied Mathematics, 2021 We present an optimization-based coupling method for local and nonlocal continuum models. Our approach couches the coupling of the models into a control problem where the states are the solutions of the nonlocal and local equations, the objective is to ...
Marta D’Elia, Pavel Bochev
doaj +1 more source
Relative entropy method for the relaxation limit of hydrodynamic models
Networks and Heterogeneous Media, 2020 We show how to obtain general nonlinear aggregation-diffusion models, including Keller-Segel type models with nonlinear diffusions, as relaxations from nonlocal compressible Euler-type hydrodynamic systems via the relative entropy method.
José Antonio Carrillo +2 more
doaj +1 more source
A logistic equation with nonlocal interactions [PDF]
, 2016 We consider here a logistic equation, modeling processes of nonlocal character both in the diffusion and proliferation terms. More precisely, for populations that propagate according to a L\'evy process and can reach resources in a neighborhood of ...
Caffarelli, Luis +2 more
core +4 more sources
Existence and global behavior of the solution to a parabolic equation with nonlocal diffusion
AIMS Mathematics, 2021 In this paper, we are concerned with the existence, uniqueness and long-time behavior of the solutions for a parabolic equation with nonlocal diffusion even if the reaction term is not Lipschitz-continuous at 0 and grows superlinearly or exponentially at
Fengfei Jin, Baoqiang Yan
doaj +1 more source
Influence of yttrium iron garnet thickness and heater opacity on the nonlocal transport of electrically and thermally excited magnons [PDF]
, 2016 We studied the nonlocal transport behavior of both electrically and thermally excited magnons in yttrium iron garnet (YIG) as a function of its thickness. For electrically injected magnons, the nonlocal signals decrease monotonically as the YIG thickness
Cornelissen, Ludo J. +6 more
core +4 more sources
Propagation and reaction–diffusion models with free boundaries
Bulletin of Mathematical Sciences, 2022 In this short survey, we describe some recent developments on the modeling of propagation by reaction-differential equations with free boundaries, which involve local as well as nonlocal diffusion.
Yihong Du
doaj +1 more source
A Generalization of the Hopf-Cole Transformation [PDF]
, 2012 A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented.
Miskinis, Paulius
core +2 more sources