On the Global Classical Solution of Peeling Models

Li Q, Zhang Y (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Journal of Nonlinear Science Springer Verlag (Germany)

Book Volume: 35

Article Number: 47

Journal Issue: 2

DOI: 10.1007/s00332-025-10141-y

Abstract

Using variational methods, Zhao (Acta Mathematica Scientia 31A(6):1461–1469, 2011) established nonlinear governing equations and nonlinear boundary conditions on the peeling front for peeling thin films from substrates by pulling one side upwards. For constant pulling speed, the model admits constant peeling speed. In the paper, employing the method of characteristics, we demonstrate the stability of such a constant background solution. That is, the model still admits a classical solution when the perturbation on the pulling speed is small and its derivative is with algebraic decay. Additionally, we also prove that if the perturbation on the pulling speed decays to zero, the speed of the peeling fronts also decays to the constant peeling speed of the background solutions.

Involved external institutions

Fudan University / 复旦大学 CN China (CN) East China Normal University (ECNU) / 华东师范大学 CN China (CN)

How to cite

APA:

Li, Q., & Zhang, Y. (2025). On the Global Classical Solution of Peeling Models. Journal of Nonlinear Science, 35(2). https://doi.org/10.1007/s00332-025-10141-y

MLA:

Li, Qianfeng, and Yongqian Zhang. "On the Global Classical Solution of Peeling Models." Journal of Nonlinear Science 35.2 (2025).

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