- Local Versus Global Concepts in Hydrodynamic Stability Theory | Journal de Physique II
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Local Versus Global Concepts in Hydrodynamic Stability Theory | Journal de Physique II
Analytical methods to solve some eigenvalue problems in hydrodynamic and hydromagnetic stability theory. Stability of nonstationary fluid flows.
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Hydrodynamic stability theory av Adelina Georgescu. Spara som favorit. Skickas inom vardagar. The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone e. The aim of this book is to provide a complete mathe- matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians.
In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow.
I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat- ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory.
Open problems are expressed in both mathematical and physical terms. This article summarizes the main mathematical results of bifurcation and stability in hydrodynamic stability theory so far obtained.
Hydrodynamic Stability Theory
A unified functional-analytic approach is presented which tries to accentuate the ideas and to avoid technicalities. Besides the general results on the existence, the number of solutions and their qualitative behavior, the constructive analytical methods are emphasized. The Taylor and the Benard models are studied in detail. In the latter case, all possible solutions of regular cell pattern are classified.
Stability and instability and their exchange at the point of bifurcation are studied. You can also purchase online an Individual or Institutional Subscription to this journal or buy one or more printed volumes.
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