arXiv Open Access 2024

Minimizing movements solutions for a monotone model of droplet motion

Carson Collins William M Feldman

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Abstrak

We study the uniqueness and regularity of minimizing movements solutions of a droplet model in the case of piecewise monotone forcing. We show that such solutions evolve uniquely on each interval of monotonicity, but branching non-uniqueness may occur where jumps and monotonicity changes coincide. This classification of minimizing movements solutions allows us to reduce the quasi-static evolution to a finite sequence of elliptic problems and establish $L^\infty_tC^{1,1/2-}_x$-regularity of solutions.

Topik & Kata Kunci

math.AP

Penulis (2)

Carson Collins

William M Feldman

Format Sitasi

APA MLA BibTeX

Collins, C., Feldman, W.M. (2024). Minimizing movements solutions for a monotone model of droplet motion. https://arxiv.org/abs/2408.15984

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓