Well-posedness and exponential stability of two-dimensional vibration model of a boundary-controlled curved beam with tip mass

2018 ◽  
Vol 49 (13) ◽  
pp. 2847-2860
Author(s):  
Ali Tavasoli
Keyword(s):  
Exponential Stability ◽  
Curved Beam ◽  
Well Posedness ◽  
Two Dimensional ◽  
Vibration Model ◽  
Tip Mass

Stability of Navier–Stokes Equations

2006 ◽  
Author(s):  
Jean-Yves Chemin ◽  
Benoit Desjardins ◽  
Isabelle Gallagher ◽  
Emmanuel Grenier
Keyword(s):  
Stokes System ◽  
Stokes Equations ◽  
Time Dependent ◽  
Navier Stokes ◽  
Well Posedness ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
The Stability ◽  
Three Space

In this chapter we intend to investigate the stability of the Leray solutions constructed in the previous chapter. It is useful to start by analyzing the linearized version of the Navier–Stokes equations, so the first section of the chapter is devoted to the proof of the well-posedness of the time-dependent Stokes system. The study will be applied in Section 3.2 to the two-dimensional Navier–Stokes equations, and the more delicate case of three space dimensions will be dealt with in Sections 3.3–3.5.

Well-posedness and exponential stability in binary mixtures theory for thermoviscoelastic diffusion materials

2018 ◽  
Vol 41 (10-12) ◽  
pp. 1414-1431 ◽  
Author(s):  
Moncef Aouadi ◽  
Michele Ciarletta ◽  
Vincenzo Tibullo
Keyword(s):  
Exponential Stability ◽  
Binary Mixtures ◽  
Well Posedness
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