We establish the short-time existence of a smooth solution to the surface diffusion equation with an elastic term and without an additional curvature regularization in three space dimensions. We also prove the asymptotic stability of strictly stable stationary sets.
The Surface Diffusion Flow with Elasticity in Three Dimensions / Fusco, N.; Julin, V.; Morini, M.. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 237:3(2020), pp. 1325-1382. [10.1007/s00205-020-01532-4]
The Surface Diffusion Flow with Elasticity in Three Dimensions
Fusco N.;Morini M.
2020-01-01
Abstract
We establish the short-time existence of a smooth solution to the surface diffusion equation with an elastic term and without an additional curvature regularization in three space dimensions. We also prove the asymptotic stability of strictly stable stationary sets.File in questo prodotto:
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