Infinite pinning

Dondl, Patrick W. (author), Jesenko, Martin (author), Scheutzow, Michael (author)

In this work, we address the occurrence of infinite pinning in a random medium. We suppose that an initially flat interface starts to move through the medium due to some constant driving force. The medium is assumed to contain random obstacles. We model their positions by a Poisson point process and their strengths are not bounded. We determine a necessary condition on its distribution so that regardless of the driving force the interface gets pinned.

• Language: English
• Keywords: random environment, phase boundaries, pinning, viscosity supersolutions
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publication date: 01.04.2022
• Year: 2022
• Number of pages: Str. 760-771
• Numbering: Vol. 54, iss. 2
• PID: 20.500.12556/RUL-137054
• UDC: 51
• ISSN on article: 0024-6093
• DOI: 10.1112/blms.12599
• COBISS.SI-ID: 106338307
• Publication date in RUL: 31.05.2022

Record is a part of a journal

• Title: Bulletin of the London Mathematical Society
• Shortened title: Bull. Lond. Math. Soc.
• Publisher: Wiley, London Mathematical Society
• ISSN: 0024-6093
• COBISS.SI-ID: 25154560

Secondary language

• Language: Slovenian
• Keywords: slučajno okolje, meje faz, vkleščenost, super-rešitve v viskoznem smislu