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Titlebook: Recent Developments of Mathematical Fluid Mechanics; Herbert Amann,Yoshikazu Giga,Masao Yamazaki Book 2016 Springer Basel 2016 Euler equat

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,Seeking a Proof of Xie’s Inequality: On the Conjecture That ,,nal steady Stokes problem. If proven, it will provide the basis for an existence and regularity theory for the non-stationary Navier-Stokes equations, free of assumptions about the regularity of the boundary of the flow region. It will be valid for flow in an arbitrary open set..In his doctoral thes
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On the Motion of a Liquid-Filled Rigid Body Subject to a Time-Periodic Torque,e motion of the coupled system liquid-filled rigid body, has at least one corresponding time-periodic weak solution. Furthermore if the size of the torque is below a certain constant, the weak solution is in fact strong.
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On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary,on the boundary..We prove the long-time and large-data existence of weak solutions, with integrable pressure, to unsteady internal flows of Bingham and Navier-Stokes fluids subject to such threshold slip boundary conditions.
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2297-0320 .Authors are experts of the Navier-Stokes and the Euler equa.The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations.  In particular, we are interested in such problems as:.1)
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Book 2016ns and other related equations.  In particular, we are interested in such problems as:.1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and ener
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