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Necessary and Sufficient Conditions for Nonlinear Stability in the Magnetic Bénard Problem

✍ Scribed by G. MULONE; S. RIONERO


Publisher
Springer
Year
2003
Tongue
English
Weight
161 KB
Volume
166
Category
Article
ISSN
0003-9527

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Necessary and sufficient stability condi
✍ 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