Titlebook: Collected Papers in Honor of Yoshihiro Shibata; Tohru Ozawa Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive lic

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Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit,We consider the Euler system of gas dynamics endowed with the incomplete.

slow-wave-sleep

,On the Hydrostatic Approximation of Compressible Anisotropic Navier–Stokes Equations–Rigorous JustiIn this work, we derive the hydrostatic approximation by taking the small aspect ratio limit to the Navier–Stokes equations.

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贝雷帽

Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stn this paper, we consider a resolvent problem arising in the study of a Korteweg-type model of isothermalcompressible viscous fluids derived by Dunn and Serrin (1985), and we prove resolvent estimates in bounded and exteriordomains.

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哑巴

Global Well Posedness for a Q-tensor Model of Nematic Liquid Crystals,We investigate a compressible two-fluid Navier–Stokes type system with a single velocity field and algebraic closurefor the pressure law. The constitutive relation involves densities of both fluids through an implicit function.We are interestedin regular solutions in a Lp − Lq maximal regularity setting.

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area of mathematical fluid mechanics.Covers a variety of sp.Yoshihiro Shibata has made many significant contributions to the area of mathematical fluid mechanics over the course of his illustrious career, including landmark work on the Navier-Stokes equations. The papers collected here — on the occ