# Uniqueness of steady state, smooth shapes in a nonlocal geometric PDE and a model for the shape evolution of ooids

Időpont:
2017. 03. 02. 10:15
Hely:
BME H épület 306-os terem
Sipos András Árpád (BME, Szilárdságtani és Tartószerkezeti Tsz.)

MEGHÍVÓ

Szeretettel várjuk a Farkas Miklós Alkalmazott Analízis Szemináriumra

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2017. március 2. (csütörtök) 10:15, BME H306

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## Sipos András Árpád (BME, Szilárdságtani és Tartószerkezeti Tsz.)

Uniqueness of steady state, smooth shapes in a nonlocal
geometric PDE and a model for the shape evolution of ooids

We investigate steady state solutions of a nonlocal geometric PDE that serves as a simple model of simultaneous contraction and growth of grains called ooids in geosciences. As a main result of the talk I demonstrate that the parameters associated with the physical environment determine a unique, time-invariant (equilibrium) solution of the equation among smooth, convex curves embedded in $\xR^2$. The model produces nontrivial shapes that are consistent with recorded shapes of mature ooids found in nature.