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Titlebook: Mathematical Fluid Dynamics, Present and Future; Tokyo, Japan, Novemb Yoshihiro Shibata,Yukihito Suzuki Conference proceedings 2016 Springe

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Weak Solutions to Problems Involving Inviscid Fluidsystems of partial differential equations arising in the fluid mechanics. Using the method of convex integration we show the existence of infinitely many weak solutions for prescribed initial data and kinetic energy.
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Enstrophy Variations in the Incompressible 2D Euler Flows and , Point Vortex System ensemble average of the energy density spectrum in 2D fluid turbulence. However, it is mathematically known that not only smooth solutions but also weak solutions in ., . to the 2D Euler equations never dissipates the enstrophy [.]. This indicates that weak solutions for initial vorticity distribut
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in tissue specimens. In the late 1800s formaldehyde was introduced as a cross-linking fixative, which enabled histological advances. Various aldehyde solutions remain the staple for neurohistology in the neuroscience community including formalin, paraformaldehyde, glutaraldehyde, and combinations of
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Dieter Bothe,Jan Prüsse and general nature of insects present special problems to the student of entomology. For example, many commercially available in­ struments are geared to measure in grams, while the forces commonly en­ countered in studying insects are in the milligram range. Therefore, tech­ the study of insects
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