𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Non-linear stability of the magnetic Bénard problem via a generalized energy method

✍ Scribed by Giovanni P. Galdi

Publisher
Springer
Year
1985
Tongue
English
Weight
800 KB
Volume
87
Category
Article
ISSN
0003-9527

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Necessary and sufficient stability condi
Necessary and sufficient stability conditions via the eigenvalues–eigenvectors method: an application to the magnetic Bénard problem
✍ S. Lombardo; G. Mulone 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 159 KB

We study the magnetic Bénard problem (MBP) with the Lyapunov direct method and obtain necessary and sufficient conditions of (conditional) nonlinear stability. An operative method (which rests upon the classical eigenvalues-eigenvectors theory) is introduced to define an optimal Lyapunov function fo

Non-linear stability in the Bénard probl
Non-linear stability in the Bénard problem for a double-diffusive mixture in a porous medium
✍ S. Lombardo; G. Mulone; B. Straughan 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

## Abstract The linear and non‐linear stability of a horizontal layer of a binary fluid mixture in a porous medium heated and salted from below is studied, in the Oberbeck–Boussinesq–Darcy scheme, through the Lyapunov direct method. This is an interesting geophysical case because the salt gradient

A generalized discretization scheme of L
A generalized discretization scheme of Lyapunov functional in the stability problem of linear uncertain time-delay systems
✍ Keqin Gu 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 114 KB 👁 3 views

The stability problem of linear uncertain time-delay systems is considered using a quadratic Lyapunov functional. The kernel of the functional, which is a function of two variables, is chosen as piecewise linear. As a result, the stability condition can be written as a linear matrix inequality, whic