Helmholtz decomposition and semigroup theory to the fluid around a moving body
Bull. Korean Math. Soc.
Published online November 7, 2019
Hyeong-Ohk Bae
Ajou University
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.
Keywords : Helmholtz decomposition, fluid, rigid body, B-evolution, semigroyp, fractional power of operator
MSC numbers : 76D05, 35Q35
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