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