On Fractional Powers of the Stokes Operator
نویسندگان
چکیده
منابع مشابه
A note on the Stokes operator and its powers
The so-called Stokes operator is an important tool in the analysis of the solutions of the Navier-Stokes equations and their numerical approximation. The aim of this note is to clarify certain properties of the fractional powers of this operator which are sometimes misused.
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Let G be a simple graph. For any k ∈ N , the k−power of G is a simple graph G with vertex set V (G) and edge set {xy : dG(x, y) ≤ k} and the k−subdivision of G is a simple graph G 1 k , which is constructed by replacing each edge of G with a path of length k. So we can introduce the m−power of the n−subdivision of G, as a fractional power of G, that is denoted by G m n . In other words G m
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy
سال: 1970
ISSN: 0021-4280
DOI: 10.2183/pjab1945.46.1141