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Depinning of Traveling Waves in Ergodic Media. / Tikhomirov, Sergey.

Trends in Mathematics. Springer Nature, 2017. p. 283-287 (Trends in Mathematics; Vol. 11).

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

Harvard

Tikhomirov, S 2017, Depinning of Traveling Waves in Ergodic Media. in Trends in Mathematics. Trends in Mathematics, vol. 11, Springer Nature, pp. 283-287. https://doi.org/10.1007/978-3-030-25261-8_42

APA

Tikhomirov, S. (2017). Depinning of Traveling Waves in Ergodic Media. In Trends in Mathematics (pp. 283-287). (Trends in Mathematics; Vol. 11). Springer Nature. https://doi.org/10.1007/978-3-030-25261-8_42

Vancouver

Tikhomirov S. Depinning of Traveling Waves in Ergodic Media. In Trends in Mathematics. Springer Nature. 2017. p. 283-287. (Trends in Mathematics). https://doi.org/10.1007/978-3-030-25261-8_42

Author

Tikhomirov, Sergey. / Depinning of Traveling Waves in Ergodic Media. Trends in Mathematics. Springer Nature, 2017. pp. 283-287 (Trends in Mathematics).

BibTeX

@inbook{9a3fa40a809442738e30a8bd371ebff4,
title = "Depinning of Traveling Waves in Ergodic Media",
abstract = "We study speed of moving fronts in bistable spatially inhomogeneous media at parameter regimes where the speed tends to zero. We provide a set of conceptual assumptions under which we can prove power law asymptotics for the speed, with exponent depending 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. The presentation is based on a joint work with Arnd Sheel.",
author = "Sergey Tikhomirov",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-3-030-25261-8_42",
language = "English",
series = "Trends in Mathematics",
publisher = "Springer Nature",
pages = "283--287",
booktitle = "Trends in Mathematics",
address = "Germany",

}

RIS

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T1 - Depinning of Traveling Waves in Ergodic Media

AU - Tikhomirov, Sergey

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We study speed of moving fronts in bistable spatially inhomogeneous media at parameter regimes where the speed tends to zero. We provide a set of conceptual assumptions under which we can prove power law asymptotics for the speed, with exponent depending 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. The presentation is based on a joint work with Arnd Sheel.

AB - We study speed of moving fronts in bistable spatially inhomogeneous media at parameter regimes where the speed tends to zero. We provide a set of conceptual assumptions under which we can prove power law asymptotics for the speed, with exponent depending 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. The presentation is based on a joint work with Arnd Sheel.

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U2 - 10.1007/978-3-030-25261-8_42

DO - 10.1007/978-3-030-25261-8_42

M3 - Chapter

AN - SCOPUS:85072053416

T3 - Trends in Mathematics

SP - 283

EP - 287

BT - Trends in Mathematics

PB - Springer Nature

ER -

ID: 49894896