Titlebook: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids; Yoshikazu Giga,Antonin Novotny Living reference work 2020Latest edition

TSH582

Global Existence of Regular Solutions with Large Oscillations and Vacuum,he global existence and uniqueness of classical solutions to the Cauchy problem for the barotropic compressible Navier-Stokes equations in three spatial dimensions with smooth initial data that are of small energy but possibly large oscillations with constant state as far field which could be either

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,Large Time Behavior of the Navier–Stokes Flow,e solutions to the Navier–Stokes equations, but in the final section, a brief discussion is added on solutions to magnetohydrodynamics, liquid crystals, and quasi-geostrophic and Boussinesq equations. Consideration is given to results on decay, asymptotic profiles, and stability for finite and nonfi

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,Leray’s Problem on Existence of Steady State Solutions for the Navier-Stokes Flow,ded domain with multiple boundary components. The boundary conditions are assumed only to satisfy the necessary requirement of zero total flux. The authors have proved that the problem is solvable in arbitrary bounded planar or three-dimensional axially symmetric domains. The proof uses Bernoulli’s

基因组

打火石

积习难改

,Local and Global Solvability of Free Boundary Problems for the Compressible Navier–Stokes Equationslems is due to the fact that the surface of the fluid is unknown. A proof of the classical solvability is outlined of the problem on the motion of a drop in vacuum in a finite time interval both in the case of the presence of surface tension on the free boundary and without it. The motion of two com

协议

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Critical Function Spaces for the Wellposedness of the Navier-Stokes Initial Value Problem,ples of arbitrarily large initial data giving rise to a global solution are also provided, as well as a study of the long-time behavior of global solutions and their behavior at blow-up time (supposing such a time exists).

售穴

Existence and Uniqueness of Strong Stationary Solutions,. Here, not only the question of existence and uniqueness is considered, but also the asymptotic structure near infinity is studied. Due to the different nature of the problems, the two- and three-dimensional problems are treated separately.