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

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2194-1009 espected experts.Develops novel theories and methods in mathThis volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Con

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On the Interface Formation Model for Dynamic Triple Linesthe entropy production and perform a linear closure, except for a nonlinear closure for the sorption processes. Specialized to the isothermal case, we obtain a thermodynamically consistent mathematical model for dynamic triple lines and show that the total available energy is a strict Lyapunov function for this system.

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Global Solvability of the Problem on Two-Phase Capillary Fluid Motion in the Oberbeck–Boussinesq App will remain strictly inside the other one during all the time. The proof is based on the exponential estimate of a generalized energy and on a local existence theorem of the problem in anisotropic Hölder spaces.

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