In this paper we prove short-time existence of a smooth solution in the plane to the surface diffusion equation with an elastic term and without an additional curvature regularization. We also prove the asymptotic stability of strictly stable stationary sets.
The Surface Diffusion Flow with Elasticity in the Plane / Fusco, Nicola; Julin, Vesa; Morini, Massimiliano. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 362:2(2018), pp. 571-607. [10.1007/s00220-018-3200-2]
The Surface Diffusion Flow with Elasticity in the Plane
Massimiliano Morini
2018-01-01
Abstract
In this paper we prove short-time existence of a smooth solution in the plane to the surface diffusion equation with an elastic term and without an additional curvature regularization. We also prove the asymptotic stability of strictly stable stationary sets.File in questo prodotto:
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