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Pinning of interfaces in a random medium with zero mean
ID Dondl, Patrick W. (Avtor), ID Jesenko, Martin (Avtor), ID Scheutzow, Michael (Avtor)

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Izvleček
We consider two related models for the propagation of a curvature sensitive interface in a time independent random medium. In both cases we suppose that the medium contains obstacles that act on the propagation of the interface with an inhibitory or an acceleratory force. We show that the interface remains bounded for all times even when a small constant external driving force is applied. This phenomenon has already been known when only inhibitory obstacles are present. In this work we extend this result to the case of – for example – a random medium of random zero mean forcing. The first model we study is discrete with a random forcing on each lattice site. In this case we construct a supersolution employing a local path optimization procedure. In the second, continuous, model we consider a random heterogenous medium consisting of localized small obstacles of random sign. To construct a stationary supersolution here, we need to pass through sufficiently many blocking obstacles while avoiding any obstacles of the other sign. This is done by employing a custom percolation argument.

Jezik:Angleški jezik
Ključne besede:Quenched Edwards–Wilkinson model, phase boundaries, pinning, random environment, viscosity super-solutions
Vrsta gradiva:Članek v reviji (dk_c)
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FGG - Fakulteta za gradbeništvo in geodezijo
Leto izida:2021
Št. strani:Str. 305-321
Številčenje:Vol. 23, iss. 3
UDK:51
ISSN pri članku:1463-9963
DOI:10.4171/IFB/455 Povezava se odpre v novem oknu
COBISS.SI-ID:92464899 Povezava se odpre v novem oknu
Datum objave v RUL:16.03.2022
Število ogledov:65
Število prenosov:0
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Gradivo je del revije

Naslov:Interfaces and free boundaries
Skrajšan naslov:Interfaces free bound.
Založnik:Oxford University Press, EMS Publishing House
ISSN:1463-9963
COBISS.SI-ID:512083993 Povezava se odpre v novem oknu

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:matematika, gradbeništvo, Edwards-Wilkinsonov model, meje faz, vkleščenost, slučajno okolje, super-rešitve v viskoznem smislu

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