Results 11 to 20 of about 51,763 (295)

A Quasilinear Parabolic System with Nonlocal Boundary Condition [PDF]

Boundary Value Problems, 2010
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Botao Chen, Yongsheng Mi, Chunlai Mu
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On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization [PDF]

Journal of Differential Equations, 2021
The Cahn--Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. In recent times, various dynamic boundary conditions have been introduced to model interactions of the materials with the boundary more precisely.
Knopf P., Signori A.
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Nonlocal Conduction in a Metawire. [PDF]

Adv Mater
A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Iglesias Martínez JA, Chen Y, Wang K, Wegener M.   +3 more
europepmc   +2 more sources

Recovering differential operators with nonlocal boundary conditions [PDF]

Analysis and Mathematical Physics, 2015
Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.
Yurko, Vjacheslav Anatoljevich, Yang, Chuan-Fu   +1 more
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Nonlocal Boundary-Value Problems with Local Boundary Conditions

, 2023
We describe and analyze nonlocal integro-differential equations with classical local boundary conditions. The interaction kernel of the nonlocal operator has horizon parameter dependent on position in the domain, and vanishes as the boundary of the domain is approached.
Scott, James M., Du, Qiang
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Nonlocal Neumann boundary conditions

Bruno Pini Mathematical Analysis Seminar, 2023
We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for particular types of problems.
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STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS

Mathematical Modelling and Analysis, 2001
In this article a stationary problems with general nonlocal boundary conditions is considered. The differential problems and finite difference schemes for solving this problem are investigated. Stability estimates are proved in the maximum norm and the non‐negativity of the solution is investigated.
Čiegis, R., Štikonas, A., Štikoniene, O., Suboč, O.   +3 more
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Investigation of complex eigenvalues for a stationary problem with two-point nonlocal boundary condition

Lietuvos Matematikos Rinkinys, 2011
The Sturm–Liouville problem with one classical and another two-point nonlocal boundary condition is considered in this paper. These problems with nonlocal boundary condition are not self-adjoint, so the spectrum has complex points. We investigate how the
Kristina Skučaitė-Bingelė, Artūras Štikonas   +1 more
doaj   +1 more source

Variational Theory and Domain Decomposition for Nonlocal Problems [PDF]

, 2011
In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establish the well-posedness of associated boundary value problems, proving a ...
Aksoylu, Burak, Parks, Michael L.
core   +5 more sources

Difference Schemes with Nonlocal Boundary Conditions

Computational Methods in Applied Mathematics, 2001
AbstractThe paper deals with the stability, with respect to initial data, of difference schemes that approximate the heat-conduction equation with constant coefficients and nonlocal boundary conditions. Some difference schemes are considered for the one-dimensional heat-conduction equation, the energy norm is constructed, and the necessary and ...
Goolin, Alexei V., Ionkin, Nikolai I., Morozova, Valentina A.   +2 more
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