Results 61 to 70 of about 37,564 (233)
Nonlinear porous medium flow with fractional potential pressure
, 2010 We study a porous medium equation, with nonlocal diffusion effects given by an inverse fractional Laplacian operator. We pose the problem in n-dimensional space for all t>0 with bounded and compactly supported initial data, and prove existence of a weak ...
A. Córdoba +25 more
core +1 more source
Boundary fluxes for nonlocal diffusion
Journal of Differential Equations, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cortazar, Carmen +3 more
openaire +5 more sources
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Pattern formation in a mixed local and nonlocal reaction-diffusion system
Electronic Journal of Differential Equations, 2012 Local and nonlocal reaction-diffusion models have been shown to demonstrate nontrivial steady state patterns known as Turing patterns. That is, solutions which are initially nearly homogeneous form non-homogeneous patterns.
Evelyn Sander, Richard Tatum
doaj
Magnon transport and thermoelectric effects in ultrathin Tm_{3}Fe_{5}O_{12}/Pt nonlocal devices
Physical Review Research, 2022 The possibility of electrically exciting and detecting magnon currents in magnetic insulators has opened exciting perspectives for transporting spin information in electronic devices.
Jialiang Gao +5 more
doaj +1 more source
Material‐Based Intelligence: Autonomous Adaptation and Embodied Computation in Physical Substrates
Advanced Intelligent Systems, EarlyView.This perspective formulates a unifying framework for Material‐Based Intelligence (MBI), defining the physical requirements for materials to achieve embodied action, active memory and embodied information processing through intrinsic nonequilibrium dynamics. The design of intelligent materials often draws parallels with the complex adaptive behaviors of
Vladimir A. Baulin +4 more
wiley +1 more source
Existence and properties of traveling waves for doubly nonlocal Fisher-KPP equations
Electronic Journal of Differential Equations, 2019 We consider a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions in a space of bounded functions on R^d. Using the properties of the corresponding semiflow, we prove
Dmitri Finkelshtein +2 more
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Advances in Condensed Matter Physics, 2023 To examine the effects of the nonlocal thermoelastic parameters in a nanoscale semiconductor material, a novel nonlocal model with variable thermal conductivity is provided in this study.
Shreen El-Sapa +3 more
doaj +1 more source
1/2-Laplacian problems with exponential nonlinearity
, 2013 By exploiting a suitable Trudinger-Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth ...
Iannizzotto, Antonio, Squassina, Marco
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Diffusion with nonlocal boundary conditions
Journal of Functional Analysis, 2016 We consider second order differential operators $A_ $ on a bounded, Dirichlet regular set $ \subset \mathbb{R}^d$, subject to the nonlocal boundary conditions \[ u(z) = \int_ u(x)\, (z, dx)\quad \mbox{for } z \in \partial . \] Here the function $ : \partial \to \mathscr{M}^+( )$ is $ (\mathscr{M} ( ), C_b( ))$-continuous with $0\leq (z,
Arendt, Wolfgang +2 more
openaire +3 more sources