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 -