Work

On a variational scheme modeling the anisotropic surface diffusion with elasticity in the plane

Year: 2026

Type: article

Abstract: In this paper, we prove the existence of classical solutions for the anisotropic surface diffusion with elasticity in the plane using a minimizing movements scheme, provided that the initial set is sufficiently regular. This scheme is inspired by the one introduced by Cahn-Taylor [ 15 ] to modeling the surface diffusion. Moreover, we prove that this scheme converges to the global solution of the equation.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-03218-9

Author: A. Kubin

Institution: University of Jyväskylä

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Academy of Finland