# HELMHOLTZ DECOMPOSITION AND SEMIGROUP THEORY TO THE FLUID AROUND A MOVING BODY

• Accepted : 2019.09.25
• Published : 2020.05.31

#### Abstract

To understand the interaction of a fluid and a rigid body, we use the concept of B-evolution. Then in a similar way to the usual Navier-Stokes system, we obtain a Helmholtz type decomposition. Using B-evolution theory and the decomposition, we work on the semigroup to analyze the linear part of the system.

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