4 papers
Obstacle problems for the elastic flow and related topics
Kensuke Yoshizawa
In this note, we study an obstacle problem for the elastic flow. We prove the local-in-time existence of weak solutions and discuss their relation to classical solutions when addit…
Stability of flat-core pinned p-elasticae
Tatsuya Miura, Kensuke Yoshizawa
We classify the stability of flat-core -elasticae in subject to the pinned boundary condition. Together with previous work, this completes the classification of s…
A nongraphical obstacle problem for elastic curves
Marius Müller, Kensuke Yoshizawa
We study an obstacle problem for the length-penalized elastic bending energy for open planar curves pinned at the boundary. We first consider the case without length penalization a…
The critical points of the elastic energy among curves pinned at endpoints
Kensuke Yoshizawa
In this paper we find curves minimizing the elastic energy among curves whose length is fixed and whose ends are pinned. Applying the shooting method, we can identify all critical…