Recent Developments of Mathematical Fluid Mechanics (eBook, PDF)
eBook, PDF

Recent Developments of Mathematical Fluid Mechanics (eBook, PDF)

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The book addresses recent developments of the mathematical research on the Navier-Stokes and Euler equationsas well as on related problems. In particular, there are covered:1) existence, uniqueness, and the regularity of weak solutions;2) stability of the motion in rest and the asymptotic behavior of solutions;3) singularity and blow-up of weak and strong solutions;4) vorticity and energy conservation;5) motions of rotating fluids, or of fluids surrounding a rotating body;6) free boundary problems;7) maximal regularity theory and other abstract results for mathematical fluid mechanics.For this...

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