Time Global Mild Solutions of Navier-Stokes-Oseen Equations

2021 ◽  
Vol 41 (2) ◽  
pp. 450-460
Author(s):  
Viet Duoc Trinh
Keyword(s):  
Mild Solutions ◽  
Navier Stokes ◽  
Oseen Equations

scholarly journals Remark on uniqueness of mild solutions to the Navier–Stokes equations

2005 ◽  
Vol 218 (1) ◽  
pp. 110-129 ◽  
Author(s):  
Hideyuki Miura
Keyword(s):  
Stokes Equations ◽  
Mild Solutions ◽  
Navier Stokes ◽  
Navier Stokes Equations

scholarly journals Global mild solutions of Navier-Stokes equations

2011 ◽  
Vol 64 (9) ◽  
pp. 1297-1304 ◽  
Author(s):  
Zhen Lei ◽  
Fang-Hua Lin
Keyword(s):  
Stokes Equations ◽  
Mild Solutions ◽  
Navier Stokes ◽  
Navier Stokes Equations

scholarly journals Mild solutions to the time fractional Navier–Stokes equations in RN

2015 ◽  
Vol 259 (7) ◽  
pp. 2948-2980 ◽  
Author(s):  
Paulo Mendes de Carvalho-Neto ◽  
Gabriela Planas
Keyword(s):  
Stokes Equations ◽  
Mild Solutions ◽  
Navier Stokes ◽  
Navier Stokes Equations

On the motion of a rigid body with a cavity filled with a viscous liquid

2012 ◽  
Vol 142 (2) ◽  
pp. 391-423 ◽  
Author(s):  
Ana L. Silvestre ◽  
Takéo Takahashi
Keyword(s):  
Rigid Body ◽  
Viscous Liquid ◽  
Existence And Uniqueness ◽  
Stokes Equations ◽  
Mild Solutions ◽  
Three Dimensional ◽  
Strong Solutions ◽  
Coupled System ◽  
Analytic Approach ◽  
Navier Stokes

We study the motion of a rigid body with a cavity filled with a viscous liquid. The main objective is to investigate the well-posedness of the coupled system formed by the Navier–Stokes equations describing the motion of the fluid and the ordinary differential equations for the motion of the rigid part. To this end, appropriate function spaces and operators are introduced and analysed by considering a completely general three-dimensional bounded domain. We prove the existence of weak solutions using the Galerkin method. In particular, we show that if the initial velocity is orthogonal, in a certain sense, to all rigid velocities, then the velocity of the system decays exponentially to zero as time goes to infinity. Then, following a functional analytic approach inspired by Kato's scheme, we prove the existence and uniqueness of mild solutions. Finally, the functional analytic approach is extended to obtain the existence and uniqueness of strong solutions for regular data.

Mild solutions of stochastic Navier-Stokes equation with jump noise in Lp-spaces

2015 ◽  
Vol 288 (14-15) ◽  
pp. 1615-1621 ◽  
Author(s):  
B. P. W. Fernando ◽  
B. Rüdiger ◽  
S. S. Sritharan
Keyword(s):  
Stokes Equation ◽  
Mild Solutions ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Lp Spaces ◽  
Jump Noise

scholarly journals Existence and uniqueness theorem on mild solutions to the Keller–Segel system coupled with the Navier–Stokes fluid

2016 ◽  
Vol 270 (5) ◽  
pp. 1663-1683 ◽  
Author(s):  
Hideo Kozono ◽  
Masanari Miura ◽  
Yoshie Sugiyama
Keyword(s):  
Uniqueness Theorem ◽  
Existence And Uniqueness ◽  
Mild Solutions ◽  
Navier Stokes ◽  
Existence And Uniqueness Theorem ◽  
Stokes Fluid
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