Dynamics of landslides: Mathematical framework

W. Li; V. Frid; G. Mishuris; A. B. Movchan

doi:10.1007/s00161-026-01488-y

Dynamics of landslides: Mathematical framework

W. Li
, V. Frid
, G. Mishuris
, A. B. Movchan^*

^*Corresponding author for this work

Department of Mathematics

Capital Normal University
University of Liverpool
Sami Shamoon College of Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The paper addresses the modelling of landslides as a dynamic process, which may be triggered by seismic tremors for slopes subjected to gravity and water saturation. It makes a link between the geophysical approach, based on the assumptions of the pseudo-static framework, and mathematical model of a delamination fault preceding the landslide. The Wiener-Hopf approach enables us to trace the waves induced by the moving front of the delamination fault. The results provide the new insight into the dynamics of the initiation of landslides along water-saturated slopes.

Original language	English
Article number	59
Number of pages	21
Journal	Continuum Mechanics and Thermodynamics
Volume	38
Issue number	4
DOIs	https://doi.org/10.1007/s00161-026-01488-y
Publication status	Published - 10 Jun 2026

Keywords

landslide
transient motion
Waves
Wiener-Hopf method

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keywords = "landslide, transient motion, Waves, Wiener-Hopf method",

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AU - Li, W.

AU - Frid, V.

AU - Mishuris, G.

AU - Movchan, A. B.

PY - 2026/6/10

Y1 - 2026/6/10

N2 - The paper addresses the modelling of landslides as a dynamic process, which may be triggered by seismic tremors for slopes subjected to gravity and water saturation. It makes a link between the geophysical approach, based on the assumptions of the pseudo-static framework, and mathematical model of a delamination fault preceding the landslide. The Wiener-Hopf approach enables us to trace the waves induced by the moving front of the delamination fault. The results provide the new insight into the dynamics of the initiation of landslides along water-saturated slopes.

AB - The paper addresses the modelling of landslides as a dynamic process, which may be triggered by seismic tremors for slopes subjected to gravity and water saturation. It makes a link between the geophysical approach, based on the assumptions of the pseudo-static framework, and mathematical model of a delamination fault preceding the landslide. The Wiener-Hopf approach enables us to trace the waves induced by the moving front of the delamination fault. The results provide the new insight into the dynamics of the initiation of landslides along water-saturated slopes.

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KW - transient motion

KW - Waves

KW - Wiener-Hopf method

UR - https://www.scopus.com/pages/publications/105041376646

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JO - Continuum Mechanics and Thermodynamics

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M1 - 59

ER -

Dynamics of landslides: Mathematical framework

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Keywords

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