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Depinning asymptotics in ergodic media. / Scheel, Arnd; Tikhomirov, Sergey.

Patterns of Dynamics - In Honour of Bernold Fiedler’s 60th Birthday. ed. / Pavel Gurevich; Juliette Hell; Arnd Scheel; Bjorn Sandstede. Springer Nature, 2017. p. 88-108 (Springer Proceedings in Mathematics and Statistics; Vol. 205).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Scheel, A & Tikhomirov, S 2017, Depinning asymptotics in ergodic media. in P Gurevich, J Hell, A Scheel & B Sandstede (eds), Patterns of Dynamics - In Honour of Bernold Fiedler’s 60th Birthday. Springer Proceedings in Mathematics and Statistics, vol. 205, Springer Nature, pp. 88-108, Conference on Patterns of Dynamics held in honor of Bernold Fiedler’s 60th Birthday, 2016, Berlin, Germany, 25/07/16. https://doi.org/10.1007/978-3-319-64173-7_6

APA

Scheel, A., & Tikhomirov, S. (2017). Depinning asymptotics in ergodic media. In P. Gurevich, J. Hell, A. Scheel, & B. Sandstede (Eds.), Patterns of Dynamics - In Honour of Bernold Fiedler’s 60th Birthday (pp. 88-108). (Springer Proceedings in Mathematics and Statistics; Vol. 205). Springer Nature. https://doi.org/10.1007/978-3-319-64173-7_6

Vancouver

Scheel A, Tikhomirov S. Depinning asymptotics in ergodic media. In Gurevich P, Hell J, Scheel A, Sandstede B, editors, Patterns of Dynamics - In Honour of Bernold Fiedler’s 60th Birthday. Springer Nature. 2017. p. 88-108. (Springer Proceedings in Mathematics and Statistics). https://doi.org/10.1007/978-3-319-64173-7_6

Author

Scheel, Arnd ; Tikhomirov, Sergey. / Depinning asymptotics in ergodic media. Patterns of Dynamics - In Honour of Bernold Fiedler’s 60th Birthday. editor / Pavel Gurevich ; Juliette Hell ; Arnd Scheel ; Bjorn Sandstede. Springer Nature, 2017. pp. 88-108 (Springer Proceedings in Mathematics and Statistics).

BibTeX

@inproceedings{6f5e24500fe845388c7996a29f87dc1e,
title = "Depinning asymptotics in ergodic media",
abstract = "We study speeds of fronts in bistable, spatially inhomogeneous media at parameter regimes where speeds approach zero. We provide a set of conceptual assumptions under which we can prove power-law asymptotics for the speed, with exponent depending on a local dimension of the ergodic measure near extremal values. We also show that our conceptual assumptions are satisfied in a context of weak inhomogeneity of the medium and almost balanced kinetics, and compare asymptotics with numerical simulations.",
keywords = "Center manifolds, Ergodic media, Front propagation, Inhomogeneous media, Pinning, Quasiperiodic media",
author = "Arnd Scheel and Sergey Tikhomirov",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-3-319-64173-7_6",
language = "English",
isbn = "9783319641720",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer Nature",
pages = "88--108",
editor = "Pavel Gurevich and Juliette Hell and Arnd Scheel and Bjorn Sandstede",
booktitle = "Patterns of Dynamics - In Honour of Bernold Fiedler{\textquoteright}s 60th Birthday",
address = "Germany",
note = "Conference on Patterns of Dynamics held in honor of Bernold Fiedler{\textquoteright}s 60th Birthday, 2016 ; Conference date: 25-07-2016 Through 29-07-2016",

}

RIS

TY - GEN

T1 - Depinning asymptotics in ergodic media

AU - Scheel, Arnd

AU - Tikhomirov, Sergey

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We study speeds of fronts in bistable, spatially inhomogeneous media at parameter regimes where speeds approach zero. We provide a set of conceptual assumptions under which we can prove power-law asymptotics for the speed, with exponent depending on a local dimension of the ergodic measure near extremal values. We also show that our conceptual assumptions are satisfied in a context of weak inhomogeneity of the medium and almost balanced kinetics, and compare asymptotics with numerical simulations.

AB - We study speeds of fronts in bistable, spatially inhomogeneous media at parameter regimes where speeds approach zero. We provide a set of conceptual assumptions under which we can prove power-law asymptotics for the speed, with exponent depending on a local dimension of the ergodic measure near extremal values. We also show that our conceptual assumptions are satisfied in a context of weak inhomogeneity of the medium and almost balanced kinetics, and compare asymptotics with numerical simulations.

KW - Center manifolds

KW - Ergodic media

KW - Front propagation

KW - Inhomogeneous media

KW - Pinning

KW - Quasiperiodic media

UR - http://www.scopus.com/inward/record.url?scp=85044447408&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-64173-7_6

DO - 10.1007/978-3-319-64173-7_6

M3 - Conference contribution

AN - SCOPUS:85044447408

SN - 9783319641720

T3 - Springer Proceedings in Mathematics and Statistics

SP - 88

EP - 108

BT - Patterns of Dynamics - In Honour of Bernold Fiedler’s 60th Birthday

A2 - Gurevich, Pavel

A2 - Hell, Juliette

A2 - Scheel, Arnd

A2 - Sandstede, Bjorn

PB - Springer Nature

T2 - Conference on Patterns of Dynamics held in honor of Bernold Fiedler’s 60th Birthday, 2016

Y2 - 25 July 2016 through 29 July 2016

ER -

ID: 43393003