Mathematics Vector Analysis to Fluids [Revised] / Takao Kakita / Yoshihiro Shibata

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Starting from the integral formula of mathematical
vector analysis and the Fourier transform, this article explains the derivation of the Navier-Stokes equation and the introduction to the theory. In the revised edition, it adds an explanation of the semi-group theory, which provides a method of constructing solutions to abstract ordinary differential equations and plays a major role in investigating the existence and nature of solutions to many partial differential equations.