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Rattling in spatially discrete diffusion equations with hysteresis. / Gurevich, Pavel; Tikhomirov, Sergey.

In: Multiscale Modeling and Simulation, Vol. 15, No. 3, 01.01.2017, p. 1176-1197.

Research output: Contribution to journal › Article › peer-review

Harvard

Gurevich, P & Tikhomirov, S 2017, 'Rattling in spatially discrete diffusion equations with hysteresis', Multiscale Modeling and Simulation, vol. 15, no. 3, pp. 1176-1197. https://doi.org/10.1137/16M106039X

APA

Gurevich, P., & Tikhomirov, S. (2017). Rattling in spatially discrete diffusion equations with hysteresis. Multiscale Modeling and Simulation, 15(3), 1176-1197. https://doi.org/10.1137/16M106039X

Vancouver

Gurevich P, Tikhomirov S. Rattling in spatially discrete diffusion equations with hysteresis. Multiscale Modeling and Simulation. 2017 Jan 1;15(3):1176-1197. https://doi.org/10.1137/16M106039X

Author

Gurevich, Pavel ; Tikhomirov, Sergey. / Rattling in spatially discrete diffusion equations with hysteresis. In: Multiscale Modeling and Simulation. 2017 ; Vol. 15, No. 3. pp. 1176-1197.

BibTeX

@article{0c3c57f15ce34cad8f1cdec1e68197cc,
title = "Rattling in spatially discrete diffusion equations with hysteresis",
abstract = "The paper treats a reaction-diffusion equation with hysteretic nonlinearity on a onedimensional lattice. It arises as a result of the spatial discretization of the corresponding continuous model with so-called nontransverse initial data and exhibits a propagating microstructure|which we call rattling|in the hysteretic component of the solution. We analyze this microstructure and determine the speed of its propagation depending on the parameters of hysteresis and the nontransversality coefficient in the initial data.",
keywords = "Hysteresis, Lattice, Pattern, Rattling, Reaction-diffusion equations, Spatially discrete parabolic equations",
author = "Pavel Gurevich and Sergey Tikhomirov",
year = "2017",
month = jan,
day = "1",
doi = "10.1137/16M106039X",
language = "English",
volume = "15",
pages = "1176--1197",
journal = "Multiscale Modeling and Simulation",
issn = "1540-3459",
publisher = "Society for Industrial and Applied Mathematics",
number = "3",

}

RIS

TY - JOUR

T1 - Rattling in spatially discrete diffusion equations with hysteresis

AU - Gurevich, Pavel

AU - Tikhomirov, Sergey

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The paper treats a reaction-diffusion equation with hysteretic nonlinearity on a onedimensional lattice. It arises as a result of the spatial discretization of the corresponding continuous model with so-called nontransverse initial data and exhibits a propagating microstructure|which we call rattling|in the hysteretic component of the solution. We analyze this microstructure and determine the speed of its propagation depending on the parameters of hysteresis and the nontransversality coefficient in the initial data.

AB - The paper treats a reaction-diffusion equation with hysteretic nonlinearity on a onedimensional lattice. It arises as a result of the spatial discretization of the corresponding continuous model with so-called nontransverse initial data and exhibits a propagating microstructure|which we call rattling|in the hysteretic component of the solution. We analyze this microstructure and determine the speed of its propagation depending on the parameters of hysteresis and the nontransversality coefficient in the initial data.

KW - Hysteresis

KW - Lattice

KW - Pattern

KW - Rattling

KW - Reaction-diffusion equations

KW - Spatially discrete parabolic equations

UR - http://www.scopus.com/inward/record.url?scp=85053841986&partnerID=8YFLogxK

U2 - 10.1137/16M106039X

DO - 10.1137/16M106039X

M3 - Article

AN - SCOPUS:85053841986

VL - 15

SP - 1176

EP - 1197

JO - Multiscale Modeling and Simulation

JF - Multiscale Modeling and Simulation

SN - 1540-3459

IS - 3

ER -

ID: 43392925