On the geometric form of solutions of a free boundary problem involving galvanization | Zendy

Acker A. | Zendy; Payne L. E. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

On the geometric form of solutions of a free boundary problem involving galvanization

Author(s) -

Acker A.,

Payne L. E.

Publication year - 1987

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670090109

Subject(s) - mathematics , boundary (topology) , free boundary problem , maxima and minima , curvature , mathematical analysis , inflection point , bernoulli's principle , regular polygon , boundary value problem , pure mathematics , geometry , physics , thermodynamics

In [6], T. I. Vogel studied a free boundary problem originating in the galvanization process. He showed that if the given boundary Γ* is starlike or convex, then so is the free boundary solution Γ. Our purpose is to generalize Vogel's second result by showing (under certain assumptions) that Γ cannot have more (local) maxima or minima (relative to a given direction) than Γ*; also that Γ cannot have more inflection points or greater total curvature than Γ*. The author has already proven analogous results for the Bernoulli free boundary problem in [1], [2] and [3].

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research