Analysis of a dislocation model for earthquakes
<|reference_start|>Analysis of a dislocation model for earthquakes: Approximation of problems in linear elasticity having small shear modulus in a thin region is considered. Problems of this type arise when modeling ground motion due to earthquakes where rupture occurs in a thin fault. It is shown that, under appropriate scaling, solutions of these problems can be approximated by solutions of a limit problem where the fault region is represented by a surface. In a numerical context this eliminates the need to resolve the large deformations in the fault; a numerical example is presented to illustrate efficacy of this strategy.<|reference_end|>
@article{liu2024analysis,
    title={Analysis of a dislocation model for earthquakes},
    author={Jing Liu, Xin Yang Lu, Noel J Walkington},
    journal={arXiv preprint arXiv:2409.15972},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.15972},
    primaryClass={math.NA cs.NA}
}